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International Journal of Engineering Mathematics
Volume 2013 (2013), Article ID 367064, 13 pages
http://dx.doi.org/10.1155/2013/367064
Research Article

Influence of Hall Current and Thermal Radiation on MHD Convective Heat and Mass Transfer in a Rotating Porous Channel with Chemical Reaction

1Department of Mathematics, Visva-Bharati University, Santiniketan, West Bengal 731235, India
2Department of Mathematics, Gobindapur High School, Kalabagh, Murshidabad, West Bengal 742213, India

Received 14 February 2013; Accepted 17 June 2013

Academic Editor: Song Cen

Copyright © 2013 Dulal Pal and Babulal Talukdar. 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. A. El-Hakiem, “MHD oscillatory flow on free convection-radiation through a porous medium with constant suction velocity,” Journal of Magnetism and Magnetic Materials, vol. 220, no. 2-3, pp. 271–276, 2000. View at Publisher · View at Google Scholar · View at Scopus
  2. B. S. Jaiswal and V. M. Soundalgekar, “Oscillating plate temperature effects on a flow past an infinite vertical porous plate with constant suction and embedded in a porous medium,” Heat and Mass Transfer, vol. 37, no. 2-3, pp. 125–131, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. K. D. Singh, M. G. Gorla, and H. Raj, “A periodic solution of oscillatory couette flow through porous medium in rotating system,” Indian Journal of Pure and Applied Mathematics, vol. 36, no. 3, pp. 151–159, 2005. View at Google Scholar · View at Scopus
  4. D. Pal and I. S. Shivakumara, “Mixed convection heat transfer from a vertical heated plate embedded in a sparsely packed porous medium,” International Journal of Applied Mechanics and Engineering, vol. 11, no. 4, pp. 929–939, 2006. View at Google Scholar
  5. T. G. Cowling, Magnetohydrodynamics, Interscience Publishers, New York, NY, USA, 1957.
  6. A. S. Gupta, “Hydromagnetic flow past a porous flat plate with hall effects,” Acta Mechanica, vol. 22, no. 3-4, pp. 281–287, 1975. View at Publisher · View at Google Scholar · View at Scopus
  7. R. N. Jana, A. S. Gupta, and N. Datta, “Hall effects on the hydro magnetic flow past an infinite porous flat plate,” Journal of the Physical Society of Japan, vol. 43, no. 5, pp. 1767–1772, 1977. View at Google Scholar · View at Scopus
  8. O. D. Makinde and P. Y. Mhone, “Heat transfer to MHD oscillatory flow in a channel filled with porous medium,” Romanian Journal of Physics, vol. 50, pp. 931–938, 2005. View at Google Scholar
  9. Z. Zhang and J. Wang, “On the similarity solutions of magnetohydrodynamic flows of power-law fluids over a stretching sheet,” Journal of Mathematical Analysis and Applications, vol. 330, no. 1, pp. 207–220, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Hameed and S. Nadeem, “Unsteady MHD flow of a non-Newtonian fluid on a porous plate,” Journal of Mathematical Analysis and Applications, vol. 325, no. 1, pp. 724–733, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. O. D. Makinde, O. A. Beg, and H. S. Takhar, “Magnetohydrodynamic viscous flow in a rotating porous medium cylindrical annalus with on applied radial magnetic field,” International Journal of Applied Mathematics and Mechanics, vol. 5, pp. 68–81, 2009. View at Google Scholar
  12. P. Sibanda and O. D. Makinde, “On steady MHD flow and heat transfer past a rotating disk in a porous medium with ohmic heating and viscous dissipation,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 20, no. 3, pp. 269–285, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. I. Pop and T. Watanabe, “Hall effects on magnetohydrodynamic free convection about a semi-infinite vertical flat plate,” International Journal of Engineering Science, vol. 32, no. 12, pp. 1903–1911, 1994. View at Google Scholar · View at Scopus
  14. L. K. Saha, S. Siddiqa, and M. A. Hossain, “Effect of Hall current on MHD natural convection flow from vertical permeable flat plate with uniform surface heat flux,” Applied Mathematics and Mechanics (English Edition), vol. 32, no. 9, pp. 1127–1146, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. D. Pal, B. Talukdar, I. S. Shivakumara, and K. Vajravelu, “Effects of Hall current and chemical reaction on oscillatory mixed convection-radiation of a micropolar fluid in a rotating system,” Chemical Engineering Communications, vol. 199, pp. 943–965, 2012. View at Publisher · View at Google Scholar
  16. A. C. Cogley, W. C. Vincenti, and S. E. Gilles, “Differential approximation for radiation transfer in a nongray gas near equilibrium,” American Institute of Aeronautics and Astronautics Journal, vol. 6, pp. 551–555, 1968. View at Google Scholar
  17. M. A. Mansour, “Radiative and free-convection effects on the oscillatory flow past a vertical plate,” Astrophysics and Space Science, vol. 166, no. 2, pp. 269–275, 1990. View at Publisher · View at Google Scholar · View at Scopus
  18. M. A. Hossain and H. S. Takhar, “Radiation effect on mixed convection along a vertical plate with uniform surface temperature,” Heat and Mass Transfer, vol. 31, no. 4, pp. 243–248, 1996. View at Google Scholar · View at Scopus
  19. M. A. Hossain, M. A. Alim, and D. A. S. Rees, “The effect of radiation on free convection from a porous vertical plate,” International Journal of Heat and Mass Transfer, vol. 42, no. 1, pp. 181–191, 1999. View at Publisher · View at Google Scholar · View at Scopus
  20. M. A. Seddeek, “Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite flat plate with an aligned magnetic field in the case of unsteady flow,” International Journal of Heat and Mass Transfer, vol. 45, no. 4, pp. 931–935, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. R. Muthucumaraswamy and G. K. Senthil, “Studied the effect of heat and mass transfer on moving vertical plate in the presence of thermal radiation,” Journal of Theoretical And Applied Mechanics, vol. 31, no. 1, pp. 35–46, 2004. View at Google Scholar
  22. D. Pal, “Heat and mass transfer in stagnation-point flow towards a stretching surface in the presence of buoyancy force and thermal radiation,” Meccanica, vol. 44, no. 2, pp. 145–158, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. O. Aydin and A. Kaya, “Radiation effect on MHD mixed convection flow about a permeable vertical plate,” Heat and Mass Transfer, vol. 45, no. 2, pp. 239–246, 2008. View at Publisher · View at Google Scholar · View at Scopus
  24. R. A. Mohamed, “Double-diffusive convection-radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effects,” Applied Mathematical Sciences, vol. 3, no. 13–16, pp. 629–651, 2009. View at Google Scholar · View at Scopus
  25. D. S. Chauhan and P. Rastogi, “Radiation effects on natural convection MHD flow in a rotating vertical porous channel partially filled with a porous medium,” Applied Mathematical Sciences, vol. 4, no. 13–16, pp. 643–655, 2010. View at Google Scholar · View at Scopus
  26. S. Y. Ibrahim and O. D. Makinde, “Radiation effect on chemically reacting magnetohydrodynamics (MHD) boundary layer flow of heat and mass transfer through a porous vertical flat plate,” International Journal of Physical Sciences, vol. 6, no. 6, pp. 1508–1516, 2011. View at Google Scholar · View at Scopus
  27. D. Pal and H. Mondal, “The influence of thermal radiation on hydromagnetic darcy-forchheimer mixed convection flow past a stretching sheet embedded in a porous medium,” Meccanica, vol. 46, no. 4, pp. 739–753, 2011. View at Publisher · View at Google Scholar · View at Scopus
  28. G. Palani and K. Y. Kim, “Influence of magnetic field and thermal radiation by natural convection past vertical cone subjected to variable surface heat flux,” Applied Mathematics and Mechanics (English Edition), vol. 33, pp. 605–620, 2012. View at Google Scholar
  29. M. A. A. Mahmoud and S. E. Waheed, “Variable fluid properties and ther-28 mal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity,” Applied Mathematics and Mechanics (English Edition), vol. 33, pp. 663–678, 2012. View at Google Scholar
  30. E. M. Aboeldahab and E. M. E. Elbarbary, “Hall current effect on magnetohydrodynamic free-convection flow past a semi-infinite vertical plate with mass transfer,” International Journal of Engineering Science, vol. 39, no. 14, pp. 1641–1652, 2001. View at Publisher · View at Google Scholar · View at Scopus
  31. E. M. Abo-Eldahab and M. A. El Aziz, “Viscous dissipation and Joule heating effects on MHD-free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents,” Applied Mathematical Modelling, vol. 29, no. 6, pp. 579–595, 2005. View at Publisher · View at Google Scholar · View at Scopus
  32. R. Kandasamy, K. Periasamy, and K. K. Sivagnana Prabhu, “Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects,” International Journal of Heat and Mass Transfer, vol. 48, no. 21-22, pp. 4557–4561, 2005. View at Publisher · View at Google Scholar · View at Scopus
  33. R. Muthucumaraswamy and B. Janakiraman, “Mass transfer effects on isothermal vertical oscillating plate in the presence of chemical reaction,” International Journal of Applied Mathematics and Mechanics, vol. 4, no. 1, pp. 66–74, 2008. View at Google Scholar
  34. P. R. Sharma and K. D. Singh, “Unsteady MHD free convective flow and heat transfer along a vertical porous plate with variable suction and internal heat generation,” International Journal of Applied Mathematics and Mechanics, vol. 4, no. 5, pp. 1–8, 2009. View at Google Scholar
  35. M. Sudheer Babu and P. V. Satya Narayan, “Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field,” Journal of Heat and Mass Transfer, vol. 3, pp. 219–234, 2009. View at Google Scholar
  36. O. D. Makinde and T. Chinyoka, “Numerical study of unsteady hydromagnetic Generalized Couette flow of a reactive third-grade fluid with asymmetric convective cooling,” Computers and Mathematics with Applications, vol. 61, no. 4, pp. 1167–1179, 2011. View at Publisher · View at Google Scholar · View at Scopus
  37. D. Pal and B. Talukdar, “Combined effects of Joule heating and chemical reaction on unsteady magnetohydrodynamic mixed convection of a viscous dissipating fluid over a vertical plate in porous media with thermal radiation,” Mathematical and Computer Modelling, vol. 54, no. 11-12, pp. 3016–3036, 2011. View at Publisher · View at Google Scholar · View at Scopus
  38. K. D. Singh and R. Kumar, “Combined effects of hall current and rotation on free convection MHD flow in a porous channel,” Indian Journal of Pure and Applied Physics, vol. 47, no. 9, pp. 617–623, 2009. View at Google Scholar · View at Scopus
  39. R. C. Meyer, “On reducing aerodynamic heat transfer rates by magnetohydrodynamic techniques,” Journal of the Aerospace Sciences, vol. 25, p. 561, 1958. View at Google Scholar