Iterative calculation of nonNewtonian flows in pipes of annular cross section
Abstract
The present paper is concerned with the numerical solution of the equation of motion for the axial flow of an incompressible, nonNewtonian fluid in a long cylindrical annulus. It is only supposed that the material law of the fluid is Lipschitzian and monotone. Under these conditions the nonlinear flow problem can be solved numerically by means of a projectioniteration method. The initial value problem as well as the steadystate problem are considered for constant and periodic pressure gradient. Numerical calculations are performed to find the velocity profiles, velocity gradients and volume rates of flow for pseudoplastic fluids of Williamsontype and power lawtype.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 November 1976
 DOI:
 10.1002/zamm.19760561107
 Bibcode:
 1976ZaMM...56..491W
 Keywords:

 Annular Flow;
 Circular Cylinders;
 Flow Equations;
 Iterative Solution;
 Nonnewtonian Fluids;
 Pipe Flow;
 Axial Flow;
 Boundary Value Problems;
 Equations Of Motion;
 Incompressible Fluids;
 Lipschitz Condition;
 Nonlinear Equations;
 Plastic Properties;
 Pressure Distribution;
 Fluid Mechanics and Heat Transfer