A high Reynolds number flow with closed streamlines
Abstract
Reference is made to an earlier paper (Lyne, 1971) concerned with flow in a pipe of circular crosssection, with the radius a, which is coiled in a circle of radius L (where L is much greater than a), with a pressure gradient along the pipe varying sinusoidally with the frequency and zero mean. In the present paper, the NavierStokes equations are solved numerically for this configuration over a sequence of values of R up to 3000. The results obtained confirm the effectiveness of Lyne's approximation method, although there is no formal justification for the latter.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1982
 DOI:
 10.1007/3540119485_25
 Bibcode:
 1982LNP...170..233H
 Keywords:

 Computational Fluid Dynamics;
 High Reynolds Number;
 NavierStokes Equation;
 Pipe Flow;
 Difference Equations;
 Iterative Solution;
 Vorticity;
 Fluid Mechanics and Heat Transfer