Fully developed viscous flow in coiled circular pipes

Publisher Website
Google Scholar
Abstract
The Navier‐Stokes equations in stream‐function/vorticity form were solved numerically by over‐relaxation for the case of steady state, fully developed, isothermal, incompressible viscous Newtonian flow within a rigorously treated toroidal geometry. Solutions were obtained for curvature ratios ranging from 5 to 100 and for Dean numbers as low as I and as high as 1000. The Dean number was demonstrated to be the principal parameter to characterize toroidal flow; however, a second‐order dependence upon the curvature ratio above that expressed in the Dean number was observed. Comparisons of the numerically computed axial‐velocity profiles were made with experimental data. The cross‐sectional pressure distribution was calculated, and a correlation is presented for a diametral pressure drop in terms of the Dean number.

This publication has 18 references indexed in Scilit: