Viscous Incompressible Flow
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Home > Mathematics and Science Textbooks > Physics > Classical mechanics > Physics: Fluid mechanics > Viscous Incompressible Flow: v.16 For Low Reynolds Numbers(v. 16 Advances in Boundary Elements)
Viscous Incompressible Flow: v.16 For Low Reynolds Numbers(v. 16 Advances in Boundary Elements)

Viscous Incompressible Flow: v.16 For Low Reynolds Numbers(v. 16 Advances in Boundary Elements)


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About the Book

This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results. Problems are proposed throughout, while every chapter contains a large list of references. A valuable contribution to the field, Viscous Incompressible Flow: For Low Reynolds Numbers is designed for research mathematicians in pure and applied mathematics and graduate students in viscous fluid mechanics.

Table of Contents:
Chapter 1: Fundamentals of Low Reynolds Number Viscous Incompressible Flow Dimensionless analysis of the equations governing the flow of an incompressible Newtonian fluid; Boundary and initial conditions for the flow on an incompressible Newtonian fluid; General properties of Stokes flows; The generalized Lorentz reciprocal identity for Stokes flows; General properties of unsteady Stokes flows; Green's formulas and the reciprocal identity for unsteady Stokes flows; Oseen's flow Chapter 2: The Singularity Method for Low Reynolds Number Viscous Incompressible Flows Green's function of the Stokes flow due to a point force; Singularities of Stokes flows; Computation of Stokes flows by the singularity method; Fundamental solutions of unsteady Stokes flows; Computation of unsteady Stokes flows by the singularity method; The fundamental solution of Oseen's flow; Fundamental solutions of generalized unsteady Oseen and Stokes flows Chapter 3: The Theory of Hydrodynamic Potentials with Application to Low Reynolds Number Viscous Incompressible Flows Boundary integral representations for the velocity fields of Stokes and Oseen flows: Boundary integral representation for the pressure field of an unbounded Stokes flow; The generalized Faxen laws for the total force and torque on a particle; Basic properties of the hydrodynamic potentials; Existence and uniqueness results for the Stokes system; Boundary integral representations for the velocity and pressure fields of unsteady Stokes flows; Existence and uniqueness results for the unsteady Stokes system Chapter 4: Boundary Integral Methods for Steady and Unsteady Stokes Flows The boundary element method (BEM); Power and Miranda's method for Stokes flow past a solid particle of arbitrary shape in an unbounded domain; Boundary integral representations for Stokes flow past several solid particles in an unbounded domain; Compound double-layer representations for Stokes flows in bounded domains; A compound double-layer representation for the two-dimensional Stokes flow problem in exterior domains; The method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section; Asymptotic analysis of low Reynolds number viscous incompressible flow past a cylindrical body; A compound double-layer representation for the two-dimensional Stokes flow due to the motion of a solid particle in a half-plane; Compound double-layer representations for the two-dimensional Stokes flow past or due to the motion of a cylinder in a channel; Boundary integral method for an oscillatory Stokes flow in the presence of a solid particle Chapter 5: Boundary Integral Formulations for Linearized Viscous Flows in the Presence of Interfaces A boundary integral formulation for the deformation of a viscous drop in an extensional flow; A boundary integral formulation for Stokes flow past a solid sphere and a viscous drop; A boundary integral formulation for slow viscous flow in a bounded fluid region containing a solid particle; A boundary integral method for Stokes flow in a bounded region containing air bubbles


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Product Details
  • ISBN-13: 9781853129919
  • Publisher: WIT Press
  • Publisher Imprint: WIT Press
  • Height: 242 mm
  • Sub Title: v.16 For Low Reynolds Numbers
  • ISBN-10: 1853129917
  • Publisher Date: /07/2004
  • Binding: Hardback
  • Series Title: v. 16 Advances in Boundary Elements
  • Width: 165 mm


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Viscous Incompressible Flow: v.16 For Low Reynolds Numbers(v. 16 Advances in Boundary Elements)
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