Meshing Surfaces For Intersecting Vanes
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-modified1 . 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.Join the waitlist — get patent alerts
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