Potential Flows of Viscous and Viscoelastic Liquids

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The goal of this book is to show how potential flows enter into the general theory of motions of viscous and viscoelastic fluids. Traditionally, the theory of potential flows is thought to apply to idealized fluids without viscosity. Here we show how to apply this theory to real fluids that are viscous. The theory is applied to problems of the motion of bubbles; to the decay of waves on interfaces between fluids; to capillary, Rayleigh-Taylor, and Kelvin-Hemholtz instabilities; to viscous effects in acoustics; to boundary layers on solids at finite Reynolds numbers; to problems of stress-induced cavitation; and to the creation of microstructures in the flow of viscous and viscoelastic liquids.

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Editorial Reviews

From the Publisher
'I think that [it] is well worth the price … This is an invaluable book, because it is virtually impossible to find another one similar … I highly recommend [it] for anyone …' Proceedings of the Institution of Mechanical Engineers

'The book contains some interesting nuggets that I had not been previously aware of. … The authors have developed a nice method for computing viscous boundary layers near a free surface (nicely outlined in chapter 12), which they appear to demonstrate is quite accurate. … These different ideas are critically applied to many of the rich list of problems discussed in the book.' Journal of Fluid Mechanics

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Product Details

  • ISBN-13: 9780521873376
  • Publisher: Cambridge University Press
  • Publication date: 12/17/2007
  • Series: Cambridge Aerospace Series , #21
  • Pages: 516
  • Product dimensions: 6.97 (w) x 9.96 (h) x 1.14 (d)

Meet the Author

Daniel Joseph is a professor of Aerospace Engineering and Mechanics at the University of Minnesota. He is the holder of patents on the wave-speed meter, the spinning rod interfacial tensiometer, and the spinning drop tensiometer, among others. Dr Joseph is the editor of the International Journal of Multiphase Flow and has authored five books and more than 300 articles.

Toshio Funada is a professor of Digital Engineering at the Numazu College of Technology in Japan. He has studied at Shinshu University and Osaka University in Japan.

Jing Wang earned his B.S. from Tsinghua University in China in 2000 and his Ph.D. in Aerospace Engineering from the University of Minnesota in 2005. He received the 'Best Dissertation Award' in Physical Sciences and Engineering for 2006 at the University of Minnesota.

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Table of Contents

1. Introduction; 2. Historical notes; 3. Boundary conditions for viscous fluids; 4. Helmholtz decomposition coupling rotational to irrotational flow; 5. Harmonic functions which give rise to vorticity; 6. Radial motions of a spherical gas bubble in a viscous liquid; 7. Rise velocity of a spherical cap bubble; 8. Ellipsoidal model of the rise of a Taylor bubble in a round tube; 9. Rayleigh-Taylor instability of viscous fluids; 10. The force on a cylinder near a wall in viscous potential flows; 11. Kelvin-Helmholtz instability; 12. Irrotational theories of gas-liquid flow: viscous potential flow (VPF), viscous potential flow with pressure correction (VCVPF) and dissipation method (DM); 13. Rising bubbles; 14. Purely irrotational theories of the effect of the viscosity on the decay of waves; 15. Irrotational Faraday waves on a viscous fluid; 16. Stability of a liquid jet into incompressible gases and liquids; 17. Stress induced cavitation; 18. Viscous effects of the irrotational flow outside boundary layers on rigid solids; 19. Irrotational flows which satisfy the compressible Navier-Stokes equations; 20. Irrotational flows of viscoelastic fluids; 21. Purely irrotational theories of stability of viscoelastic fluids; 22. Numerical methods for irrotational flows of viscous fluid; Appendices; References; List of illustrations; List of tables.

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