Multigrid methods for a semilinear PDE in the theory of pseudoplastic fluids
Abstract
We show that by certain transformations the boundary layer equations for the class of nonNewtonian fluids named pseudoplastic can be generalized in the form the vector differential operator(u) + p(x)u(exp lambda) = 0, where x is a member of the set Omega and Omega is a subset of R(exp n), n is greater than or equal to 1 under the classical conditions for steady flow over a semiinfinite flat plate. We provide a survey of the existence, uniqueness, and analyticity of the solutions for this problem. We also establish numerical solutions in one and twodimensional regions using multigrid methods.
 Publication:

6th Copper Mountain Conference on Multigrid Methods
 Pub Date:
 November 1993
 Bibcode:
 1993mume.conf..231H
 Keywords:

 Boundary Layer Equations;
 Flat Plates;
 Multigrid Methods;
 Nonnewtonian Fluids;
 Partial Differential Equations;
 Uniqueness;
 Numerical Analysis;
 Steady Flow;
 Fluid Mechanics and Heat Transfer