US2010111743A1PendingUtilityA1

Meshing Surfaces For Intersecting Vanes

Individually held — no corporate assignee on recordPriority: Aug 18, 2005Filed: Aug 3, 2009Published: May 6, 2010
Est. expiryAug 18, 2025(expired)· nominal 20-yr term from priority
F01C 3/025F01C 1/084F04C 2240/20
21
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Claims

Abstract

The invention provides a toroidal intersecting vane machine incorporating intersecting rotors to form primary and secondary chambers whose porting configurations minimize friction and maximize efficiency. Specifically, it is an object of the invention to provide a toroidal intersecting vane machine that greatly reduces the frictional losses through meshing surfaces without the need for external gearing by modifying the function of one or the other of the rotors from that of “fluid moving” to that of “valving” thereby reducing the pressure loads and associated inefficiencies at the interface of the meshing surfaces. The inventions described herein relate to these improvements.

Claims

exact text as granted — not AI-modified
1 . A toroidal intersecting vane machine characterized by a primary and secondary vane each having an inner radius, an outer radius and an intermeshing surface wherein, at every phase during an intermeshing phase, an overlap region exists between the primary and secondary vanes containing a connected area extending continuously from the inner radius to the outer radius of the overlap characterized by a maximal gap distance of less than about 0.001 inches. 
   
   
       2 - 6 . (canceled) 
   
   
       7 . The machine of  claim 1  wherein the admissible portion of the overlap region at phase s, when the overlap region has area greater than 0, is at least about 1% of the total surface area of the overlap region between the intermeshing surfaces. 
   
   
       8 . The machine of  claim 7  wherein the admissible portion of the overlap region, when the overlap region has area greater than 0, is at least about 20% of the total surface area of the overlap region between the intermeshing surfaces. 
   
   
       9 . The machine of  claim 1  wherein the intermeshing surfaces are ruled surfaces. 
   
   
       10 . The machine of  claim 1  wherein the intermeshing surfaces are the same. 
   
   
       11 . A toroidal intersecting vane machine of  claim 1  characterized by a primary and secondary vane each having an intermeshing surface approximated by the following equations: 
     
       
         
           
             
               
                 
                   
                     
                       Surf 
                       x 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       - 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             2 
                           
                         
                         2 
                       
                     
                     + 
                     MajRad 
                     + 
                     r 
                   
                 
               
               
                 
                   ( 
                   0.49 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       y 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         2 
                       
                        
                       
                         
                           
                             
                               c 
                               
                                 y 
                                  
                                 
                                     
                                 
                                  
                                 2 
                               
                             
                              
                             
                               ( 
                               
                                 
                                   MajRad 
                                    
                                   
                                       
                                   
                                    
                                   
                                     ω 
                                     1 
                                     2 
                                   
                                 
                                 + 
                                 
                                   r 
                                    
                                   
                                     ( 
                                     
                                       
                                         ω 
                                         2 
                                         2 
                                       
                                       + 
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       r 
                        
                       
                           
                       
                        
                       
                         ω 
                         2 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.50 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       z 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         1 
                       
                        
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       
                         ( 
                         
                           MajRad 
                           + 
                           r 
                         
                         ) 
                       
                        
                       
                         ω 
                         1 
                       
                        
                       
                         t 
                         . 
                       
                     
                   
                 
               
               
                 
                   ( 
                   0.51 
                   ) 
                 
               
             
           
         
       
     
   
   
       12 . A toroidal intersecting vane machine of  claim 1  characterized by a primary and secondary vane each having an intermeshing surface defined by the following equations: 
     
       
         
           
             
               
                 
                   
                     
                       Surf 
                       x 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       - 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             2 
                           
                         
                         2 
                       
                     
                     + 
                     MajRad 
                     + 
                     r 
                   
                 
               
               
                 
                   ( 
                   0.49 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       y 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         2 
                       
                        
                       
                         
                           
                             
                               c 
                               
                                 y 
                                  
                                 
                                     
                                 
                                  
                                 2 
                               
                             
                              
                             
                               ( 
                               
                                 
                                   MajRad 
                                    
                                   
                                       
                                   
                                    
                                   
                                     ω 
                                     1 
                                     2 
                                   
                                 
                                 + 
                                 
                                   r 
                                    
                                   
                                     ( 
                                     
                                       
                                         ω 
                                         2 
                                         2 
                                       
                                       + 
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       r 
                        
                       
                           
                       
                        
                       
                         ω 
                         2 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.50 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       z 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         1 
                       
                        
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       
                         ( 
                         
                           MajRad 
                           + 
                           r 
                         
                         ) 
                       
                        
                       
                         ω 
                         1 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.51 
                   ) 
                 
               
             
           
         
       
     
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant. 
 
   
   
       13 . A vane characterized by an intermeshing surface approximated by the following equations: 
     
       
         
           
             
               
                 
                   
                     
                       Surf 
                       x 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       - 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             2 
                           
                         
                         2 
                       
                     
                     + 
                     MajRad 
                     + 
                     r 
                   
                 
               
               
                 
                   ( 
                   0.49 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       y 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         2 
                       
                        
                       
                         
                           
                             
                               c 
                               
                                 y 
                                  
                                 
                                     
                                 
                                  
                                 2 
                               
                             
                              
                             
                               ( 
                               
                                 
                                   MajRad 
                                    
                                   
                                       
                                   
                                    
                                   
                                     ω 
                                     1 
                                     2 
                                   
                                 
                                 + 
                                 
                                   r 
                                    
                                   
                                     ( 
                                     
                                       
                                         ω 
                                         2 
                                         2 
                                       
                                       + 
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       r 
                        
                       
                           
                       
                        
                       
                         ω 
                         2 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.50 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       z 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         1 
                       
                        
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       
                         ( 
                         
                           MajRad 
                           + 
                           r 
                         
                         ) 
                       
                        
                       
                         ω 
                         1 
                       
                        
                       
                         t 
                         . 
                       
                     
                   
                 
               
               
                 
                   ( 
                   0.51 
                   ) 
                 
               
             
           
         
       
     
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant. 
 
   
   
       14 . A vane of  claim 13  characterized by an intermeshing surface defined by the following equations: 
     
       
         
           
             
               
                 
                   
                     
                       Surf 
                       x 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       - 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             2 
                           
                         
                         2 
                       
                     
                     + 
                     MajRad 
                     + 
                     r 
                   
                 
               
               
                 
                   ( 
                   0.49 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       y 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         2 
                       
                        
                       
                         
                           
                             
                               c 
                               
                                 y 
                                  
                                 
                                     
                                 
                                  
                                 2 
                               
                             
                              
                             
                               ( 
                               
                                 
                                   MajRad 
                                    
                                   
                                       
                                   
                                    
                                   
                                     ω 
                                     1 
                                     2 
                                   
                                 
                                 + 
                                 
                                   r 
                                    
                                   
                                     ( 
                                     
                                       
                                         ω 
                                         2 
                                         2 
                                       
                                       + 
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       r 
                        
                       
                           
                       
                        
                       
                         ω 
                         2 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.50 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       z 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         1 
                       
                        
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       
                         ( 
                         
                           MajRad 
                           + 
                           r 
                         
                         ) 
                       
                        
                       
                         ω 
                         1 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.51 
                   ) 
                 
               
             
           
         
       
     
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant. 
 
   
   
       15 . A vane of  claim 13  characterized by two intermeshing surfaces defined by the following equations: 
     
       
         
           
             
               
                 
                   
                     
                       Surf 
                       x 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       - 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             2 
                           
                         
                         2 
                       
                     
                     + 
                     MajRad 
                     + 
                     r 
                   
                 
               
               
                 
                   ( 
                   0.49 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       y 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         2 
                       
                        
                       
                         
                           
                             
                               c 
                               
                                 y 
                                  
                                 
                                     
                                 
                                  
                                 2 
                               
                             
                              
                             
                               ( 
                               
                                 
                                   MajRad 
                                    
                                   
                                       
                                   
                                    
                                   
                                     ω 
                                     1 
                                     2 
                                   
                                 
                                 + 
                                 
                                   r 
                                    
                                   
                                     ( 
                                     
                                       
                                         ω 
                                         2 
                                         2 
                                       
                                       + 
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       r 
                        
                       
                           
                       
                        
                       
                         ω 
                         2 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.50 
                   ) 
                 
               
             
             
               
                 
                   
                     
                       Surf 
                       z 
                     
                      
                     
                       ( 
                       
                         t 
                         , 
                         r 
                       
                       ) 
                     
                   
                   = 
                   
                     
                       
                         ω 
                         1 
                       
                        
                       
                         
                           
                             ( 
                             
                               
                                 
                                   
                                     
                                       MajRad 
                                        
                                       
                                           
                                       
                                        
                                       
                                         ω 
                                         1 
                                         2 
                                       
                                     
                                     + 
                                   
                                 
                               
                               
                                 
                                   
                                     r 
                                      
                                     
                                       ( 
                                       
                                         
                                           ω 
                                           2 
                                           2 
                                         
                                         + 
                                         
                                           ω 
                                           1 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                 
                               
                             
                             ) 
                           
                            
                           
                             t 
                             3 
                           
                         
                         6 
                       
                     
                     - 
                     
                       
                         ( 
                         
                           MajRad 
                           + 
                           r 
                         
                         ) 
                       
                        
                       
                         ω 
                         1 
                       
                        
                       t 
                     
                   
                 
               
               
                 
                   ( 
                   0.51 
                   ) 
                 
               
             
           
         
       
     
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant. 
 
   
   
       16 . A toroidal intersecting vane machine of  claim 1  characterized by a primary and secondary vane each having an intermeshing surface defined by the following equations:
   Surf x ( t,r )=cos( tω   1 )(((MajRad+ r )cos( tω   1 )−MajRad)cos( tω   2 )+MajRad)   (0.52)     Surf y ( t,r )=−((MajRad+ r ) cos( t ω   1 )−MajRad)sin( t ω   2 )   (0.53)     Surf z ( t,r )=sin( tω   1 )(((MajRad+ r )cos( tω   1 )−MajRad)cos( tω   2 )+MajRad)   (0.54)   
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant. 
 
   
   
       17 . A vane characterized by two intermeshing surfaces defined by the following equations:
   Surf x ( t,r )=cos( tω   1 )(((MajRad+ r )cos( tω   1 )−MajRad)cos( tω   2 )+MajRad)   (0.52)     Surf y ( t,r )=−((MajRad+ r ) cos( t ω   1 )−MajRad) sin( t ω   2 )   (0.53)     Surf z ( t,r )=sin( tω   1 )(((MajRad+ r )cos( tω   1 )−MajRad)cos( tω   2 )+MajRad)   (0.54)   
     where (Surfx(t,r), Surfy(t,r), Surfz(t,r)) is the parametric definition of a surface as a vector function of the variables (t,r), and where:
   − t limit≦ t≦+t limit 
   and 0.0<MinValue≦r≦MinRad 
   MajRad=the major radius of the TIVM 
   MinRad=the minor radius of the TIVM 
   ω 1 =the angular velocity about the Y-axis 
   ω 2 =the angular velocity of the secondary rotor 
   cy2=an optimization constant 
   MinValue=a numerical constant 
   tlimit=a numerical constant.

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