The numerical solution of the steady flow of Newtonian and nonNewtonian fluids through a contraction
Abstract
The equations describing the steady twodimensional flow of a dilute suspension of macromolecules, a nonNewtonian fluid, are numerically modeled using a finite difference technique. The flow domain is composed of a parallel walled inflow region, a contraction region in which the walls are rectangular hyperbolae, and a parallel walled outflow region. The problem is formulated in terms of the vorticity, stream function and appropriate rheological equation of state, the constitutive equation. An explicit differencing scheme is used to model the governing equations, with the advection terms in the equations modeled using upstream differencing. The structure of the basic Newtonian solvent flow is examined, and estimates of boundary layer thickness and discretizing errors are discussed.
 Publication:

Ph.D. Thesis
 Pub Date:
 October 1975
 Bibcode:
 1975PhDT........49G
 Keywords:

 Channel Flow;
 Contraction;
 Fluid Dynamics;
 Numerical Analysis;
 Boundary Layer Flow;
 Equations Of Motion;
 Steady Flow;
 Two Dimensional Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer