NonNewtonian flow past curved external surfaces
Abstract
The principle motivation of this research is the creation of a foundation for predicting resistance to motion of bodies in nonNewtonian fluids. A theoretical methodology is developed for the solution of two dimensional NavierStokes equations for incompressible nonNewtonian fluid flows past a range of elliptical surfaces. For the investigated flow conditions, methods of analysis involving asymptotic matching techniques of boundary layer equations are not appropriate. Such methods usually assume that the surface curvature effects and pressure difference across the boundary layer are negligible. Results of the presented research show that these two effects are significant for the flow conditions at hand. The variational formulation of the governing equations of motion and continuity and their discretization by the finite element method are developed. Solutions are implemented in a form suitable for efficient numerical computation. The effect of the nonNewtonian fluid on the pressure distribution along the external surface is analyzed. The presented results include velocity profiles and shear stresses along the external surfaces.
 Publication:

Ph.D. Thesis
 Pub Date:
 June 1984
 Bibcode:
 1984PhDT........28L
 Keywords:

 Ellipticity;
 Equations Of Motion;
 Finite Element Method;
 NavierStokes Equation;
 Nonnewtonian Flow;
 Nonnewtonian Fluids;
 Numerical Analysis;
 Predictions;
 Pressure Distribution;
 Shear Stress;
 Two Dimensional Flow;
 Velocity Distribution;
 Asymptotic Methods;
 Boundary Layer Equations;
 Fluid Flow;
 Fluid Mechanics and Heat Transfer