TY  - BOOK
AU  - Joseph,Daniel D.
AU  - Funada,Toshio
AU  - Wang,Jing
TI  - Potential flows of viscous and viscoelastic fluids
T2  - Cambridge aerospace series
SN  - 9780511550928 (ebook)
AV  - QA929 .J67 2008
U1  - 532/.0533 22
PY  - 2008///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Viscous flow
KW  - Viscoelasticity
N1  - 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511550928
ER  -