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

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

Print version record.

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 all problems of fluid mechanics.

English.

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