Analysis of velocity distribution in pulsating turbulent pipe flow with timedependent friction velocity
Abstract
Fundamental equation for pulsating turbulent flow in a circular tube, in which the Reynolds stress is described in terms of eddy viscosity expressed with friction velocity, is approximated by a finite difference equation. Numerical solutions of the crosssectional velocity distributions are obtained in two cases of timedependent friction velocity and of timeindependent one. It is shown numerically or experimentally that for very low frequencies the flow is in quasisteady state. At low frequencies, only the results of the analysis with timedependent friction velocity agree well with the experimental results. At high frequencies, the results of the analysis with timedependent friction velocity agree with those with timeindependent one, and both of them coincide with the experimental results.
 Publication:

JSME International Journal Series B
 Pub Date:
 July 1978
 Bibcode:
 1978JSMEB..21.1137O
 Keywords:

 Finite Difference Theory;
 Flow Resistance;
 Oscillating Flow;
 Pipe Flow;
 Turbulent Flow;
 Velocity Distribution;
 Circular Tubes;
 Eddy Viscosity;
 Flow Velocity;
 Friction Factor;
 Reynolds Stress;
 Time Dependence;
 Fluid Mechanics and Heat Transfer