Nonlinear flow using dual reciprocity
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Bibliographic Information
Nonlinear flow using dual reciprocity
（Topics in engineering, v. 38）
WIT Press, c2001
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Note
Includes bibliographical references (p. [123]-127)
Description and Table of Contents
Description
The purpose of this book is to introduce a boundary integral method based on domain partition for the solution of nonlinear fluid mechanics problems including non-Newtonian applications. In the present work, the Dual Reciprocity Method has been improved by paritioning the domain into smaller sub-domains, and in each sub-domain the Dual Reciprocity Method was applied to obtain an expression for the velocity field only in terms of boundary integrals. Several numerical examples are presented including Newtonian flow at high Reynolds numbers and non Newtonian flow of polymers inside complex geometry.
Table of Contents
- Chapter 1 - Introduction: BEM Solution of nonlinear flow problems
- Literature survey. Chapter 2 - Integral identities for scalar and vector fields: Green's identities for scalar fields
- Boundary integral formulation for Poisson's equation
- Green's identities for the momentum equations. Chapter 3 - The Boundary Element Method Boundary: elements
- Transformation of co-ordinates
- System of equations
- Numerical evaluation of weakly singular integrals
- Rigid-body-motion considerations
- Discontinuity at corner points
- Multi-domain technique. Chapter 4 - The dual reciprocity approximation: Approximation of domain integrals
- Particular solution for the auxiliary flow field
- Treatment of the pseudo-body forces term
- Approximation of derivatives
- Mass conservative interpolation for the velocity derivatives
- Conservative interpolation of a given velocity field. Chapter 5 - Multi-domain formulation of the Navier-Stokes equations: Introduction
- Dual reciprocity for the Navier-Stokes equations
- Matrix form of the multiple domain formulation for the Navier-Stokes equations. Chapter 6 - Multi-domain formulation of the Stokes equations for non-Newtonian fluids: Introduction
- Rheology of non-Newtonian fluids
- Industrial applications
- Boundary integral formulation of non-Newtonian problems
- Non-singular integral formulation
- Matrix form of the multiple domain non-singular formulation. Chapter 7 - Numerical solution of non-linear systems of algebraic equations: Line search algorithm
- Newton's method for the BEM equations
- Predictor-corrector method. Chapter 8 - Numerical results for the Navier-Stokes equations: Introduction
- Driven cavity flow. Chapter 9 - Numerical results for non-Newtonian fluid flow problems Slit flow of a power law fluid
- Coutte flow
- Non-Newtonian effects in industrial applications
- Final remarks and further research. Appendix: Position of the collocation and mass conservation nodes.
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