Potential flow of a second-order fluid over a tri-axial ellipsoid

Journal of Applied Mathematics

Volumn 2005, Issue 4, 2005, Pages 341-364

  Viana, F ^a   Funada, T ^a   Joseph, D ^a   Tashiro, N ^a   Sonoda, Y ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750102828     PISSN: 1110757X     EISSN: 16870042     Source Type: Journal    
DOI: 10.1155/JAM.2005.341     Document Type: Article

References (15)

1. P. F. Byrd M. D. Friedman Handbook of Elliptic Integrals for Engineers and Scientists Die Grundlehren der mathematischen Wissenschaften 2nd 67 Springer New York 1971 xvi+358
2. O. Hassager Negative wake behind bubbles in non-Newtonian liquids Nature 279 1979 402-403
3. H. H. Hu O. Riccius K. P. Chen M. Arney D. D. Joseph Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1 J. Non-Newtonian Fluid Mech. 35 1990 2-3 287-307
4. D. D. Joseph Bernoulli equation and the competition of elastic and inertial pressures in the potential flow of a second-order fluid J. Non-Newtonian Fluid Mech. 42 1992 3 385-389
5. D. D. Joseph Understanding cusped interfaces J. Non-Newtonian Fluid Mech. 44 1992 127-148
6. D. D. Joseph Flow induced microstructure in newtonian and viscoelastic fluids Proceedings of the 5th World Congress of Chemical Engineering, Particle Technology Track (San Diego, 1996) Second Particle Technology 6 American Institute of Chemical Engineers New York 1996 3-16
7. D. D. Joseph J. Feng A note on the forces that move particles in a second-order fluid J. Non-Newtonian Fluid Mech. 64 1996 2-3 299-302
8. D. D. Joseph J. Nelson M. Renardy Y. Renardy Two-dimensional cusped interfaces J. Fluid Mech. 223 1991 383-409
9. O. D. Kellogg Foundations of Potential Theory Dover New York 1929
10. H. Lamb Hydrodynamics Cambridge Mathematical Library Cambridge University Press Cambridge 6th 1993 xxvi+738
11. Y. J. Liu T. Y. Liao D. D. Joseph A two-dimensional cusp at the trailing edge of an air bubble rising in a viscoelastic liquid J. Fluid Mech. 304 1995 321-342
12. L. M. Milne-Thomson Theoretical Hydrodynamics Dover New York 5th 1996
13. S. B. Pillapakkam P. Singh A level-set method for computing solutions to viscoelastic two-phase flow J. Comput. Phys. 174 2001 2 552-578
14. S. B. Pillapakkam P. Singh Negative wake and velocity of a bubble rising in a viscoelastic fluid Proceedings of the ASME International Mechanical Engineering Congress & RD&D Expo (Washington, DC, 2003) Fluids Engineering Division 259 American Society of Mechanical Engineers New York 2003 709-714
15. J. Wang D. D. Joseph Potential flow of a second-order fluid over a sphere or an ellipse J. Fluid Mech. 511 2004 201-215