PL EN


Preferences help
enabled [disable] Abstract
Number of results
2010 | 118 | 4 | 576-584
Article title

Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

Content
Title variants
Languages of publication
EN
Abstracts
EN
The Rayleigh-Taylor instability of two superposed incompressible fluids of different densities in the presence of small rotation, surface tension and suspended dust particles is investigated. The linearized equations of the problem are constructed and the general dispersion relation is obtained using normal mode analysis by applying the appropriate boundary conditions. The effects of surface tension, the Atwood number, small rotation and suspended dust particles are studied on both conditions of Rayleigh-Taylor instability and growth rate of the unstable Rayleigh-Taylor mode. The numerical calculations have been performed to see the effect of rotation, the Atwood number, relaxation frequency and mass concentration of suspended dust particles. It is found that the growth rate of Rayleigh-Taylor instability depends upon the mass concentration and relaxation frequency of suspended dust particles. The uniform small rotation, relaxation frequency and mass concentration of suspended dust particles all have stabilizing influence on the growth rate of Rayleigh-Taylor instability. It is also found that the Atwood number has destabilizing influence on the growth rate of the considered Rayleigh-Taylor configuration.
Keywords
Year
Volume
118
Issue
4
Pages
576-584
Physical description
Dates
published
2010-10
received
2009-11-19
(unknown)
2010-03-30
References
  • 1. S.N. Burmistrov, L.B. Dubovkii, V.L. Tsymbalenko, Phys. Rev. E 79, 051606 (2009)
  • 2. J. Cao, H. Ren, Z. Wu, P.K. Chu, Phys. Plasmas 15, 012110 (2008)
  • 3. C. Harig, P. Molnar, G.A. Houseman, Tectonics 27, TC6019 (2008)
  • 4. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford 1961, Ch. X
  • 5. P.H. Roberts, Astrophys. J. 137, 679 (1963)
  • 6. R. Menikoff, R.C. Mjolsness, D.H. Sharp, C. Zemach, Phys. Fluids 20, 2000 (1977)
  • 7. R.G. Evans, A.J. Bennett, G.J. Pert, Phys. Rev. Lett. 49, 1639 (1982)
  • 8. K.O. Mikaelian, Phys. Rev. A 33, 1216 (1986)
  • 9. K.H.H. El-Shorbagy, P.K. Shukla, J. Plasma Phys. 71, 747 (2005)
  • 10. L. Huang, G.D. Jian, X.M. Qiu, X.D. Peng, S.Q. Wang, Phys. Plasmas 15, 022103 (2008)
  • 11. P.G. Saffman, J. Fluid Mech. 13, 120 (1962)
  • 12. J.W. Scanlon, L.A. Segel, Phys. Fluids 16, 1573 (1973)
  • 13. R.C. Sharma, K.C. Sharma, Acta Phys. Hung. 43, 251 (1977)
  • 14. R.K. Sanghvi, R.K. Chhajlani, Z. Naturforsch 40a, 826 (1985)
  • 15. R.K. Sanghvi, R.K. Chhajlani, Z. Naturforsch 49a, 1102 (1994)
  • 16. M.F. el-Sayed, J. Porous Media 10, 443 (2007)
  • 17. P. Kumar, R. Lal, Thermal Science 9, 87 (2005)
  • 18. P. Kumar, G.J. Singh, Rom. J. Phys. 51, 927 (2006)
  • 19. K.O. Mikaelian, Phys. Rev. A 42, 7211 (1990)
  • 20. W.H. Reid, Proc. Camb. Philos. Soc. 57, 415 (1961)
  • 21. R.C. Sharma, Acad. Prog. Math. B.H.U. Varanasi India 7, 1 (1973)
  • 22. R.C. Sharma, Acta. Phys. Acad. Sci. Hung. 42, 21 (1977)
  • 23. N. Ogbonna, P.K. Bhatia, Astrophys. Space Sci. 103, 233 (1984)
  • 24. P.K. Bhatia, R.P.S. Chhonkar, Astrophys. Space Sci. 114, 271 (1985)
  • 25. D.S. Vaghela, R.K. Chhajlani, Astrophys. Space Sci. 149, 301 (1988)
  • 26. M. Chertkov, I. Kolokolov, V. Lebedev, Phys. Rev. E 71, 055301 (2005)
  • 27. Z. Alterman, Proc. Natl. Acad. Sci. 47, 224 (1961)
  • 28. P.K. Sharma, R.K. Chhajlani, Phys. Plasmas 5, 2203 (1998)
  • 29. R.C. Sharma, P. Kumar, S. Sharma, Ind. J. Phys. 75B, 337 (2001)
  • 30. L.A. Davalos-Orozco, Fluid Dyn. Res. 12, 243 (1993)
  • 31. L.A. Davalos-Orozco, Dyn. Atm. Oce. 23, 247 (1996)
  • 32. Sunil, A. Sharma, P. Kumar, V. Gupta, J. Geophys. Eng. 2, 238 (2005)
  • 33. N.F. El-Ansary, G.A. Hoshoudy, A.S. Abd-Elrady, A.H.A. Ayyad, Phys. Chem. Chem. Phys. 4, 1464 (2002)
  • 34. M.F. El-Sayed, Eur. Phys. J. D 23, 391 (2003)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv118n409kz
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.