# Viscous Incompressible Flow: For Low Reynolds Numbers

Publisher:
Wit Press
Number of Pages:
424
Price:
237.00
ISBN:
1-85312-991-7
Saturday, January 1, 2005
Reviewable:
No
Include In BLL Rating:
No
M. Kohr and I. Pop
Series:
Publication Date:
2004
Format:
Hardcover
Category:
Monograph
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