###
Velocity distribution in turbulent flow

Home ->
Lecture Notes
->
Fluid Mechanics -> Unit-II

No exact mathematical analysis of the conditions within a turbulent fluid has yet been developed, though a number of semi-theoretical expressions for the shear stress at the walls of a pipe of circular cross-section have been suggested.

The velocity at any point in the cross-section will be proportional to the one-seventh power of the distance from the walls. This may be expressed as follows:

Where u_{x} is the velocity at a distance y from the walls, u_{CL} the velocity at the centerline of pipe, and r the radius of the pipe.

This equation is referred to as the *Prandtl* *one-seventh power law.*

*
*By using Prandtl one-seventh power law, the mean velocity of flow is found to be equal to 0.817 times the centerline velocity.

Table of Contents

HOME

Last Modified on: 14-Sep-2014

Chemical Engineering Learning Resources - msubbu

e-mail: msubbu.in[AT]gmail.com

Web: http://www.msubbu.in