Enhanced disk actuator modeling

Patent metadata

Field	Value
Publication number	US-9644599-B2
Application number	US-201414215937-A
Country	US
Kind code	B2
Filing date	Mar 17, 2014
Priority date	Mar 15, 2013
Publication date	May 9, 2017
Grant date	May 9, 2017

Abstract

Methods, systems, and apparatus, including computer programs encoded on computer storage media, for modeling turbine parameters. One of the methods includes obtaining, along multiple points of a blade of a turbine from a minimum radius rmin of the blade to a maximum radius rmax of the blade, lift coefficients C yi and drag coefficients C xi . At the multiple points of the blade from rmin to rmax, corresponding components of an upstream fluid flow velocity vector u h,Ri and u φ,Ri and components of a downstream fluid flow velocity u h,Li and u φ,Li are obtained. Averaged directions β i of the upstream and downstream fluid flow velocity vectors are computed using the components of the upstream fluid flow velocity vector u h,Ri and u φ,Ri and the components of the downstream fluid flow velocity u h,Li and u φ,Li . The total torque M of the turbine is computed including summing, from rmin to rmax, (C xi sin β i +C yi cos β i ).

First claim

What is claimed is:

1. A computer-implemented method comprising:
obtaining a plurality of parameters of a design of a blade wheel of an axial flow turbo machine, including lift coefficients and drag coefficients for the blade wheel for each of a plurality of angles of attack α i and for each of a plurality of cross sections r j of the blade wheel; from a minimum radius r min of the blade wheel to a maximum radius r max of the blade wheel;
obtaining mass jump conditions, momentum jump conditions, and energy jump conditions of a two-dimensional blade element model of the blade wheel, wherein the mass jump conditions, momentum jump conditions, and energy jump conditions each specify a relationship between upstream flow field parameters and downstream flow field parameters of the blade wheel;
computing upstream flow field parameters and downstream flow field parameters that satisfy the mass jump conditions, momentum jump conditions, and energy jump conditions of the two-dimensional blade element model;
computing momentum jump values across the swept area of the blade wheel using the computed upstream flow field parameters and the computed downstream flow field parameters that satisfy the mass jump conditions, momentum jump conditions, and energy jump conditions of the two-dimensional blade element model;
computing one or more turbine parameters for the axial flow turbo machine including computing an approximation of total torque for the design of the blade wheel by aggregating the momentum jump values across the swept area of the blade wheel; and
outputting the design of the blade wheel based on the computed one or more turbine parameters.

2. The method of claim 1 , wherein computing the momentum jump values from the computed upstream flow field parameters and the computed downstream flow field parameters comprises:
computing averaged directions β i of velocity components of the upstream flow field parameters and the downstream flow field parameters; and
computing each momentum jump values m i according to:
m i =q·σ·[C D sin β i +C L cos β i ], where q is an average dynamic pressure, C D are drag coefficients of the blade wheel, C L are lift coefficients of the blade wheel, and wherein σ is a solidity factor of the blade wheel.

3. The method of claim 1 , wherein computing the upstream flow field parameters and the downstream flow field parameters comprises computing upstream density ρ L , upstream pressure p L , upstream axial velocity (u h ) L , upstream azimuth velocity (u φ ) L , downstream density ρ R , downstream pressure p R , downstream axial velocity (u h ) R , and downstream azimuth velocity (u φ ) R , and further comprising:
computing an approximation of total drag X produced by the blade wheel according to:

X
=

-
2

⁢
π
⁢

∫

r
min

r
max

⁢

r
⁢

{

ρ
⁢

⁢

u
h

⁡

[

(

u
h

)

R

-

(

u
h

)

L

]

+

(

p
R

-

p
L

)

}

·

ⅆ
r

.

4. The method of claim 1 , wherein computing the upstream flow field parameters and the downstream flow field parameters comprises computing upstream density ρ L , upstream pressure p L , upstream axial velocity (u h ) L , upstream azimuth velocity (u φ ) L , downstream density ρ R , downstream pressure p R , downstream axial velocity (u h ) R , and downstream azimuth velocity (u φ ) R , and further comprising:
computing the approximation of the total torque M according to:

M
=

2
⁢
π
⁢

∫

r
min

r
max

⁢

r
2

⁢
ρ
⁢

⁢

u
h

⁡

[

(

u
φ

)

R

Assignees

• Autodesk Inc

Inventors

• Babikov Pavel
• Iorio Francesco

Classifications

• Y02E10/28

  Cross-Sectional Technologies · mapped topic

• F05B2240/122

  Vortex generators, turbulators, or the like, for mixing · CPC title

• Y02E10/223

  Cross-Sectional Technologies · mapped topic

• F03D1/04

  having stationary wind-guiding means, e.g. with shrouds or channels (F03D9/35 takes precedence) · CPC title

• F05B2240/133

  with a convergent-divergent guiding structure, e.g. a Venturi conduit · CPC title