Non-porous Walls Research Articles

Behavior of turbulent flow near a porous wall with pressure gradient

Abstract : Van Driest's theory, which provides a continuous velocity and shear distribution for turbulent flow near a nonporous wall, is extended to turbulent flow near a porous wall. The new, modified theory enables the theoretical calculation of velocity profiles to be performed for a wider range of mass- transfer rates, and it gives good agreement with experimental data.

The axisymmetric problem with initial conditions for the equations of motion of an ideal incompressible fluid

The present paper presents a proof of the existence and uniqueness theorem for the solution of the axisymmetric problem with initial conditions for the Euler equations in the case of an incompressible fluid. We consider the case of the nonporous wall, and also the transpiration problem in the formulation given in [1]. “Global” unique solvability is proved for assumptions only on the smoothness of the conditions and for all values of the time t. The existence theorem for a small time segment in the case of a nonporous wall has been proved for the general three-dimensional problem in [2, 3]. For the proof we use a method analogous to that developed in [1] for planar flows. The a priori estimate of the vorticity which is used in the present study was obtained previously in [4],

On generalized incompressible couette flow in hydromagnetics

In this paper, the pressure-induced flow between two relatively moving plane walls has been discussed, both for non-porous and porous walls. For non-porous walls it is found that with the vanishing of the electric fieldE, the increase in the strength of the magnetic field can cause separation near the stationary wall even when a slight adverse pressure gradient is applied. For the case of porous walls (with suction or injection) it is found that the magnetic field helps in delaying separation.