Laminar flow inside a conical nozzle with porous walls
Abstract
Consideration is given to the laminar flow of a fluid injected through the porous walls of a conical nozzle. An expression for the stream function within the nozzle is derived from the continuity equation, the NavierStokes equations and boundary conditions requiring the longitudinal velocity at the walls to be zero and the radial velocity at the walls to be equal to the blowing velocity, for an inverse powerlaw dependence of blowing velocity on longitudinal position. Particular solutions are examined for the cases of a powerlaw exponent equal to one (constant blowing), of a powerlaw exponent greater than two.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques
 Pub Date:
 April 1980
 Bibcode:
 1980CRASB.290..393R
 Keywords:

 Blowing;
 Conical Nozzles;
 Laminar Flow;
 Porous Walls;
 Viscous Flow;
 Flow Velocity;
 NavierStokes Equation;
 Nozzle Flow;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer