Steady Laminar Flow through Twisted Pipes: Fluid Flow in Square Tubes

[+] Author and Article Information
J. H. Masliyah, K. Nandakumar

Department of Chemical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G6

J. Heat Transfer 103(4), 785-790 (Nov 01, 1981) (6 pages) doi:10.1115/1.3244542 History: Received January 02, 1981; Online October 20, 2009


The Navier-Stokes equation in a rotating frame of reference is solved numerically to obtain the flow field for a steady, fully developed laminar flow of a Newtonian fluid in a twisted tube having a square cross-section. The macroscopic force and energy balance equations and the viscous dissipation term are presented in terms of variables in a rotating reference frame. The computed values of friction factor are presented for dimensionless twist ratios, (i.e., length of tube over a rotation of π radians normalized with respect to half the width of tube) of 20, 10, 5 and 2.5 and for Reynolds numbers up to 2000. The qualitative nature of the axial velocity profile was observed to be unaffected by the swirling motion. The secondary motion was found to be most important near the wall.

Copyright © 1981 by ASME
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