Table of Contents
Physical Separation in Science and Engineering
Volume 2007 (2007), Article ID 28908, 6 pages
http://dx.doi.org/10.1155/2007/28908
Research Article

Hydrodynamic and Hydromagnetic Stability of Viscous-Viscoelastic Superposed Fluids in Presence of Suspended Particles

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, Shimla 171005, India

Received 11 December 2006; Accepted 2 May 2007

Academic Editor: Gernot Krammer

Copyright © 2007 Pardeep Kumar and Mahinder Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover, New York, NY, USA, 1981.
  2. P. K. Bhatia and J. M. Steiner, “Convective instability in a rotating viscoelastic fluid layer,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 52, pp. 321–327, 1972.
  3. P. K. Bhatia and J. M. Steiner, “Thermal instability in a viscoelastic fluid layer in hydromagnetics,” Journal of Mathematical Analysis and Applications, vol. 41, no. 2, pp. 271–283, 1973. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. R. C. Sharma, “Effect of rotation on thermal instability of a viscoelastic fluid,” Acta Physiologica Hungarica, vol. 40, no. 1, pp. 11–17, 1976.
  5. J. W. Scanlon and L. A. Segel, “Some effects of suspended particles on the onset of Bénard convection,” Physics of Fluids, vol. 16, no. 10, pp. 1573–1578, 1973. View at Publisher · View at Google Scholar
  6. R. C. Sharma, K. Prakash, and S. N. Dube, “Effect of suspended particles on the onset of Benard convection in hydromagnetics,” Acta Physiologica Hungarica, vol. 40, no. 1, pp. 3–10, 1976.
  7. V. I. Palaniswamy and C. M. Purushotham, “Stability of shear flow of stratified fluids with fine dust,” Physics of Fluids, vol. 24, no. 7, pp. 1224–1228, 1981. View at Publisher · View at Google Scholar
  8. H. Frohlish and R. Sack, Proceedings of the Royal Society of London. Series A, vol. 185, p. 415, 1946.
  9. J. G. Oldroyd, “The elastic and viscous properties of emulsions and suspensions,” Proceedings of the Royal Society of London. Series A, vol. 218, no. 1132, pp. 122–132, 1953.
  10. J. G. Oldroyd, “Non-newtonian effects in steady motion of some idealized elastico-viscous liquids,” Proceedings of the Royal Society of London. Series A, vol. 245, no. 1241, pp. 278–297, 1958.
  11. B. A. Toms and D. J. Strawbridge, “Elastic and viscous properties of dilute solutions of polymethyl methacrylate in organic liquids,” Transactions of the Faraday Society, vol. 49, no. 10, pp. 1225–1232, 1953. View at Publisher · View at Google Scholar
  12. R. C. Sharma and K. C. Sharma, “Rayleigh—Taylor instability of two viscoelastic superposed fluids,” Acta Physiologica Hungarica, vol. 45, no. 3, pp. 213–220, 1978.
  13. A. Kent, “Instability of laminar flow of a perfect magnetofluid,” Physics of Fluids, vol. 9, no. 7, pp. 1286–1289, 1966. View at Publisher · View at Google Scholar
  14. R. C. Sharma and P. Kumar, “Rayleigh-Taylor instability of viscous-viscoelastic fluids through porous medium,” Indian Journal of Pure and Applied Mathematics, vol. 24, pp. 563–569, 1993.
  15. S. C. Agrawal and A. K. Goel, “Shear flow instability of visco-elastic fluid in a porous medium,” Indian Journal of Pure and Applied Mathematics, vol. 29, pp. 969–981, 1998.
  16. P. K. Bhatia and R. P. Mathur, “Instability of viscoelastic superposed fluids in a vertical magnetic field through porous medium,” Ganita Sandesh, vol. 17, pp. 21–32, 2003.
  17. P. Kumar, H. Mohan, and G. J. Singh, “Rayleigh—Taylor instability of rotating oldroydian viscoelastic fluids in porous medium in presence of a variable magnetic field,” Transport in Porous Media, vol. 56, no. 2, pp. 199–208, 2004. View at Publisher · View at Google Scholar · View at MathSciNet