Starting and steady quadrupolar flow

Physics of Fluids

Volumn 8, Issue 2, 1996, Pages 384-396

  Voropayev, S I ^a,b   Fernando, H J S ^a   Wu, P C ^a  

^a Arizona State University   (United States)

^b SHIRSHOV INSTITUTE OF OCEANOLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BODIES-CYLINDERS; OSCILLATIONS(FLUID; VISCOUS FLOW;

EID: 0029674246     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868792     Document Type: Article

References (23)

1. S. I. Voropayev and H. J. S. Fernando, "Propagation of grid turbulence in homogeneous fluids," submitted to Phys. Fluids.
2. S. I. Voropayev and Ya. D. Afanasyev, "Vortex quadrupoles and two-dimensional oscillating grid turbulence," Appl. Sci. Res. 51, 475 (1993).
3. S. I. Voropayev, Ya. D. Afanasyev, and G. J. F. van Heijst, "Two-dimensional flows with zero net momentum: Evolution of vortex quadrupoles and oscillating grid turbulence," J. Fluid Mech. 282, 21 (1995).
4. G. G. Stokes, "On the effect of the internal friction of fluids on the motion of pendulums," Math. Phys. Papers 2, 1 (1966).
5. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
6. C. Brennen and H. Winet, "Fluid mechanics of propulsion by cilia and flagella," Annu. Rev. Fluid Mech. 9, 339, (1977).
7. H. Hasimoto and O. Sano, "Stokeslets and eddies in creeping flow," Annu. Rev. Fluid Mech. 12, 335 (1980).
8. G. K. Batchelor, "The stress system in a suspension of force-free particle," J. Fluid Mech. 41, 545 (1970).
9. I. Imai, Ryutai Rikigaku (Fluid Dynamics) (Syokabo, Tokyo, 1973).
10. A. T. Chwang and T. Y. Wu, "Hydromechanics of low-Reynolds-number flow. Part 1. Rotation of axisymmetric bodies," J. Fluid Mech. 63, 607 (1974).
11. A. T. Chwang and T. Y. Wu, "Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flow," J. Fluid Mech. 67, 787 (1975).
12. B. J. Cantwell, "Transition in the axisymmetric jet," J. Fluid Mech., 104, 369 (1981).
13. B. J. Cantwell, "Viscous starting jets," J. Fluid Mech. 173, 159 (1986).
14. G. A. Allen, Jr. and B. J. Cantwell, Transition and Mixing in Axisymmetric Jets and Vortex Rings, NASA Contractor Report No. 3893, Stanford University, 1986.
15. S. I. Voropayev and Ya. D. Afanasyev, "Two-dimensional vortex dipole interactions in a stratified fluid," J. Fluid Mech. 236, 665 (1992).
16. S. I. Voropayev and Ya. D. Afanasyev, "Symmetric interaction of developing horizontal jet in a stratified fluid with a vertical cylinder," Phys. Fluids A 6, 2032 (1994).
17. M. Van Dyke, Perturbation Methods in Fluid Mechanics, 2nd ed. (Parabolic Press, Stanford, 1975).
18. L. Rosenhead, in Laminar Boundary Layer (Dover, New York, 1963).
19. G. B. Jeffery, "The two-dimensional steady motion of a viscous fluid," Philos. Mag. 29, 455 (1915).
20. 20G. Hamel, "Spiralförmige Bewegungen zäher Flüssigkeiten," Jahresbericht Deutsch. Math Verein. 25, 34 (1916).
21. H. B. Dwight, Tables of Integrals and Other Mathematical Data (Macmillan, New York, 1961).
22. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
23. H. Schlichting, Boundary-Layer Theory (McGraw-Hill, New York, 1979).