Finite Element Analysis of Non-Newtonian Flow: Theory and Software [Paperback]

A follow on from the author's work Finite Elements in Heat Transfer which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.A follow on from the author's work Finite Elements in Heat Transfer which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.1 Introduction.- 1.1 Preamble.- 1.2 Objectives and Layout.- 2 Governing Differential Equations.- 2.1 Introduction.- 2.2 Governing Equations.- 2.3 Constitutive Equation.- 2.3.1 Viscous shear flow.- 2.3.2 Inelastic generalised Newtonian flow.- 2.3.3 Power law fluid.- 2.4 Elastic Liquids.- 2.4.1 Maxwell model.- 2.4.2 Oldroyds liquid B model.- 2.4.3 White-Metzner model.- 2.5 Equation in Steady State Flow.- 2.6 Initial and Boundary Conditions.- 2.7 Stream Function.- 3 Finite Element Method.- 3.1 Introduction.- 3.2 Variational Principle and Rayleigh-Ritz Method.- 3.3 Galerkin Weighted Residual Method.- 3.4 Virtual Work Principle.- 3.5 Finite Element Method in Two Dimensions.- 3.5.1 Introduction.- 3.5.2 K Matrix and load vector.- 3.5.3 Triangular elements.- 3.5.4 Natural coordinate system.- 3.5.5 Numerical integration.- 4 Steady Non-Newtonian Flow.- 4.1 Introduction.- 4.2 Creeping Motion.- 4.2.1 Extra stress and strain rate relations.- 4.l£.