National Science Library of Georgia

Image from Google Jackets

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

By: Contributor(s): Material type: TextTextSeries: Cambridge aerospace series ; 21.Publisher: Cambridge : Cambridge University Press, 2008Description: 1 online resource (xvii, 497 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511550928 (ebook)
Other title:
  • Potential Flows of Viscous & Viscoelastic Liquids
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 532/.0533 22
LOC classification:
  • QA929 .J67 2008
Online resources:
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.
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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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

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.

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.

There are no comments on this title.

to post a comment.
Copyright © 2023 Sciencelib.ge All rights reserved.