Parallel porous plate channel flow characteristics resulting from non-uniform entry velocity profiles
Abstract
The author has found a class of entry velocity profiles that develop into the Raithby fully developed second solution for flow in a parallel porous plate channel with strong suction. The entry profiles of interest are characterized by a velocity defect at the channel centerline. Two numerical solution techniques are employed. The faster first technique involving solution of the boundary layer equations is used to predict overall trends of profile development. The boundary layer solutions are compared to exact solutions of the Navier-Stokes equations. A detailed examination was made of the double Poiseuille entry condition which was found to develop into Raithby's profile.
- Publication:
-
American Society of Mechanical Engineers, Winter Annual Meeting
- Pub Date:
- November 1974
- Bibcode:
- 1974asme.meetQ....D
- Keywords:
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- Channel Flow;
- Parallel Plates;
- Porous Plates;
- Velocity Distribution;
- Boundary Layer Equations;
- Flow Velocity;
- Incompressible Flow;
- Laminar Flow;
- Navier-Stokes Equation;
- Partial Differential Equations;
- Steady Flow;
- Fluid Mechanics and Heat Transfer