Turbulent Flow in a Circular Pipe with Porous Wall

Abstract
A theoretical investigation of an isothermal turbulent flow in a porous wall pipe with fluid injection or suction at the wall has been made. An exact solution of the Reynolds equations, reduced to ordinary nonlinear differential equations with appropriate boundary conditions, is obtained. The axial velocity distribution is expressed as functions of velocity through the porous wall, the axial pressure gradient and the mixing length proportionality constant K. Experimental data are used in conjunction with the solution to calculate the values of K over a range of injection‐to‐main‐stream velocity ratio. Good agreement is obtained between the present velocity profiles and such data.

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