Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 765140, 8 pages
http://dx.doi.org/10.1155/2014/765140
Research Article

Mathematical Analysis of Hall Effect on Transient Hartman Flow about a Rotating Horizontal Permeable Surface in a Porous Medium under Inclined Magnetic Field

Theoretical and Computational Geophysics Division, CSIR-National Geophysical Research Institute, Uppal Road, Hyderabad 500007, India

Received 23 June 2014; Revised 23 October 2014; Accepted 26 October 2014; Published 24 November 2014

Academic Editor: Majid Ghassemi

Copyright © 2014 M. Suresh and A. Manglik. 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. M. Katagiri, “Flow formation in Couette motion in Magnetohydro-dynamics,” Journal of the Physical Society of Japan, vol. 17, pp. 393–396, 1962. View at Google Scholar · View at MathSciNet · View at Scopus
  2. R. N. Jana and N. Datta, “Hall effects on MHD Couette flow in a rotating system,” Czechoslovak Journal of Physics, vol. 30, no. 6, pp. 659–667, 1980. View at Publisher · View at Google Scholar · View at Scopus
  3. S. K. Ghosh, “A note on steady and unsteady hydromagnetic flow in a rotating channel in the presence of inclined magnetic field,” International Journal of Engineering Science, vol. 29, no. 8, pp. 1013–1016, 1991. View at Publisher · View at Google Scholar · View at Scopus
  4. D. V. Krishna, D. R. V. Prasada Rao, and A. S. Ramachandra Murthy, “Hydromagnetic convection flow through a porous medium in a rotating channel,” Journal of Engineering Physics and Thermophysics, vol. 75, no. 2, pp. 281–291, 2002. View at Google Scholar
  5. M. A. Rana, A. M. Siddiqui, and N. Ahmed, “Hall effect on Hartmann flow and heat transfer of a Burgers' fluid,” Physics Letters A, vol. 372, no. 5, pp. 562–568, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. V. M. Soundalgekar and I. Pop, “On hydromagnetic flow in a rotating fluid past an infinite porous wall,” Journal of Applied Mathematics and Mechanics, vol. 53, p. 718, 1973. View at Google Scholar · View at Scopus
  7. V. M. Soundalgekar, “Free-convection effects on steady MHD flow past an infinite vertical porous plate,” Journal of Fluid Mechanics, vol. 66, no. 3, pp. 541–551, 1974. View at Publisher · View at Google Scholar · View at Scopus
  8. B. Kumar Jha, “Free-convection effects on hydromagnetic flow past an impulsively started vertical porous plate through porous medium,” Mechanics Research Communications, vol. 17, no. 5, pp. 337–342, 1990. View at Publisher · View at Google Scholar · View at Scopus
  9. A. L. Aboul-Hassan and H. A. Attia, “Flow due to a rotating disk with Hall effect,” Physics Letters. Section A: General, Atomic and Solid State Physics, vol. 228, no. 4-5, pp. 286–290, 1997. View at Google Scholar · View at Scopus
  10. J. H. Merkin and I. Pop, “Mixed convection along a vertical surface: similarity solutions for uniform flow,” Fluid Dynamics Research, vol. 30, no. 4, pp. 233–250, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. A. K. Singh, N. P. Singh, U. Singh, and H. Singh, “Convective flow past an accelerated porous plate in rotating system in presence of magnetic field,” International Journal of Heat and Mass Transfer, vol. 52, no. 13-14, pp. 3390–3395, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. O. Aydın and A. Kaya, “Laminar boundary layer flow over a horizontal permeable flat plate,” Applied Mathematics and Computation, vol. 161, no. 1, pp. 229–240, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. T. Hayat and T. Javed, “On analytic solution for generalized three-dimensional MHD flow over a porous stretching sheet,” Physics Letters A, vol. 370, no. 3-4, pp. 243–250, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. T. Hayat, T. Javed, and M. Sajid, “Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface,” Physics Letters A, vol. 372, no. 18, pp. 3264–3273, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. Z. Abbas, T. Hayat, M. Sajid, and S. Asghar, “Unsteady flow of a second grade fluid film over an unsteady stretching sheet,” Mathematical and Computer Modelling, vol. 48, no. 3-4, pp. 518–526, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  16. L. Deswita, R. Nazar, A. Ishak, R. Ahmad, and I. Pop, “Similarity solutions for mixed convection boundary layer flow over a permeable horizontal flat plate,” Applied Mathematics and Computation, vol. 217, no. 6, pp. 2619–2630, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  17. B. R. Rich, “An investigation of heat transfer from an inclined flat plate in free convection,” Transactions of the ASME, vol. 75, pp. 489–499, 1953. View at Google Scholar
  18. J. Jiin-Yuh and C. Wen-Jeng, “Vortex instability of buoyancy-induced inclined boundary layer flow in a saturated porous medium,” International Journal of Heat and Mass Transfer, vol. 31, no. 4, pp. 759–767, 1988. View at Publisher · View at Google Scholar · View at Scopus
  19. G. S. Seth, R. Nandkeolyar, N. Mahto, and S. K. Singh, “MHD Couette flow in a rotating system in the presence of an inclined magnetic field,” Applied Mathematical Sciences, vol. 3, no. 57–60, pp. 2919–2932, 2009. View at Google Scholar · View at MathSciNet · View at Scopus
  20. G. S. Seth, R. Nandkeolyar, and M. S. Ansari, “Effects of hall current and rotation on unsteady MHD couette flow in the presence of an inclined magnetic field,” Journal of Applied Fluid Mechanics, vol. 5, no. 2, pp. 67–74, 2012. View at Google Scholar · View at Scopus
  21. O. A. Beg, L. Sim, J. Zueco, and R. Bhargava, “Numerical study of magnetohydrodynamic viscous plasma flow in rotating porous media with Hall currents and inclined magnetic field influence,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 2, pp. 345–359, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  22. J. A. Rao, R. S. Raju, and S. Sivaiah, “Finite element solution of MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating fluid with hall current,” Journal of Applied Fluid Mechanics, vol. 5, no. 3, pp. 105–112, 2012. View at Google Scholar · View at Scopus