Potential Flows of Viscous and Viscoelastic Liquids

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.

• 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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