Convergence of the method of successive approximations with split boundary conditions when solving the boundary value problem for the Navier-Stokes equations

1970 ◽  
Vol 10 (3) ◽  
pp. 282-287
Author(s):  
B.V. Pal'tsev
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Stokes Equations ◽  
Boundary Value ◽  
Successive Approximations ◽  
Navier Stokes ◽  
Method Of Successive Approximations ◽  
Navier Stokes Equations

Fluid Dynamics of the Elliptic Porous Slider

1978 ◽  
Vol 45 (2) ◽  
pp. 435-436 ◽  
Author(s):  
L. T. Watson ◽  
T. Y. Li ◽  
C. Y. Wang
Keyword(s):  
Boundary Value Problem ◽  
Moving Objects ◽  
Stokes Equations ◽  
Boundary Value ◽  
Initial Approximation ◽  
Frictional Resistance ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Transformation Of Variables ◽  
Lift And Drag

Fluid cushioned porous sliders are useful in reducing the frictional resistance of moving objects. This paper studies the elliptic slider. After a transformation of variables, the Navier-Stokes equations reduce to a nonlinear two-point boundary-value problem. This boundary-value problem was solved by a homotopy-type method, which did not require a good initial approximation to the solution. The problem was solved for several Reynolds numbers and ellipse eccentricities. Lift and drag calculations show that an elliptic porous slider should be operated along the minor axis.

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