Potential flows of viscous and viscoelastic fluids / Daniel Joseph, Toshio Funada, Jing Wang.

Format:

Book

Author/Creator:

Joseph, Daniel D., author.

Funada, Toshio, 1948- author.

Wang, Jing, 1979- author.

Series:

Cambridge aerospace series ; 21.

Cambridge aerospace series ; 21

Language:

English

Subjects (All):

Viscous flow.

Viscoelasticity.

Physical Description:

1 online resource (xvii, 497 pages) : digital, PDF file(s).

Other Title:

Potential Flows of Viscous & Viscoelastic Liquids

Place of Publication:

Cambridge : Cambridge University Press, 2008.

Language Note:

English

Summary:

This book illustrates how potential flows enter into the general theory of motions of viscous and viscoelastic fluids. Traditionally, the theory of potential flow is presented as a subject called 'potential flow of an inviscid fluid'; when the fluid is incompressible these fluids are, curiously, said to be 'perfect' or 'ideal'. This type of presentation is widespread; it can be found in every book on fluid mechanics, but it is flawed. It is never necessary and typically not useful to put the viscosity of fluids in potential (irrotational) flow to zero. The dimensionless description of potential flows of fluids with a nonzero viscosity depends on the Reynolds number, and the theory of potential flow of an inviscid fluid can be said to rise as the Reynolds number tends to infinity. The theory given here can be described as the theory of potential flows at finite and even small Reynolds numbers.

Contents:

Introduction

Historical notes

Boundary conditions for viscous fluids

Helmholtz decomposition coupling rotational to irrotional flow

Harmonic functions that give rise to vorticity

Radial motions of a spherical gas bubble in a viscous liquid

Rise velocity of a spherical cap bubble

Ellipsoidal model of the rise of a Taylor bubble in a round tube

Rayleigh-Taylor instability of viscous fluids

The force on a cylinder near a wall in viscous potential flows

Kelvin-Heimholtz instability

Energy equation for irrotational theories of gas-liquid flow : viscous potential flow, viscous potential flow with pressure correction, and dissipation method

Rising bubbles

Purely irrotational theories of the effect of viscosity on the decay of waves

Irrotational Faraday waves on a viscous fluid

Stability of a liquid jet into incompressible gases and liquids

Stress-induced cavitation

Viscous effects of the irrotational flow outside boundary layers on rigid solids

Irrotational flows that satisfy the compressible Navier-Stokes equations

Irrotional flows of viscoelastic fluids

Purely irrotaional theories of stability of viscoelastic fluids

Numerical methods for irrotational flows of viscous fluid

Equations of motion and strain rates for rotational and irrotational flow in Cartesian, cylindrical, and spherical coordinates.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 473-486) and index.

ISBN:

1-107-18117-8

0-511-50805-0

0-511-50395-4

0-511-50871-9

0-511-55092-8

0-511-50609-0

OCLC:

437110012