A new approach to flow through a region bounded by two ellipses of the same ellipticity
Abstract
A new approach is presented to calculate steady flow of a laminar viscous incompressible fluid through a channel whose cross section is bounded by two ellipses with the same ellipticity. The Milne-Thomas approach avoids the stream function and is similar to the Rayleigh-Ritz approximation process of the calculus of variations in its first satisfying boundary conditions and then adjusting constants or multiplying functions to fit the differential equation.
- Publication:
-
Wear
- Pub Date:
- May 1981
- Bibcode:
- 1981Wear...68..249L
- Keywords:
-
- Channel Flow;
- Ellipses;
- Incompressible Fluids;
- Laminar Flow;
- Steady Flow;
- Viscous Flow;
- Boundary Conditions;
- Boundary Value Problems;
- Flow Geometry;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer