Table of Contents
ISRN Thermodynamics
Volume 2013 (2013), Article ID 953536, 17 pages
http://dx.doi.org/10.1155/2013/953536
Research Article

Influence of Variable Permeability and Radiation Absorption on Heat and Mass Transfer in MHD Micropolar Flow over a Vertical Moving Porous Plate

1Department of Humanities and Basic Science, SVPCET, Puttur 517 583, India
2Department of Mathematics, VIT University, Vellore 632 014, India

Received 28 September 2012; Accepted 22 November 2012

Academic Editors: C. D. Daub, H. Hirao, D. E. Khoshtariya, and Z. Xu

Copyright © 2013 D. Harish Babu and P. V. Satya Narayana. 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. A. C. Eringen, “Simple microfluids,” International Journal of Engineering Science, vol. 2, pp. 205–217, 1964. View at Google Scholar
  2. A. C. Eringen, “Theory of termomicrofluids,” Journal of Mathematical Analysis and Applications, vol. 38, pp. 480–496, 1972. View at Google Scholar
  3. T. Ariman, M. A. Turk, and N. D. Sylvester, “Microcontinuum fluid mechanics: a review,” International Journal of Engineering Science, vol. 11, no. 8, pp. 905–930, 1973. View at Google Scholar · View at Scopus
  4. R. S. R. Gorla, “Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux,” International Journal of Engineering Science, vol. 30, no. 3, pp. 349–358, 1992. View at Google Scholar · View at Scopus
  5. Y. J. Kim, “Unsteady convetion flow of micropolar fluids past a vertical porous plate embedded in a porous medium,” Acta Mechanica, vol. 148, no. 1–4, pp. 105–116, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. G. R. Charya, “Flow of micropolar fluid through a constricted channel,” International Journal of Engineering Science, vol. 15, no. 12, pp. 719–725, 1977. View at Google Scholar
  7. D. A. S. Rees and I. Pop, “Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate,” IMA Journal of Applied Mathematics, vol. 61, no. 2, pp. 179–197, 1998. View at Google Scholar · View at Scopus
  8. R. C. Sharma and U. Gupta, “Thermal convection in micropolar fluids in porous medium,” International Journal of Engineering Science, vol. 33, no. 13, pp. 1887–1892, 1995. View at Google Scholar
  9. J. P. Kumar, J. C. Umavathi, A. J. Chamkha, and I. Pop, “Fully-developed free-convective flow of micropolar and viscous fluids in a vertical channel,” Applied Mathematical Modelling, vol. 34, no. 5, pp. 1175–1186, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. P. Muthu, B. V. Rathish Kumar, and P. Chandra, “Peristaltic motion of micropolar fluid in circular cylindrical tubes: effect of wall properties,” Applied Mathematical Modelling, vol. 32, no. 10, pp. 2019–2033, 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. D. Srinivasacharya, J. V. Ramana Murthy, and D. Venugopalam, “Unsteady stokes flow of micropolar fluid between two parallel porous plates,” International Journal of Engineering Science, vol. 39, no. 14, pp. 1557–1563, 2001. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Muthuraj and S. Srinivas, “Fully developed mhd flow of a micropolar and viscous fluids in a vertical porous space using HAM,” Journal of Applied Mathematics and Mechanics, vol. 6, no. 11, pp. 55–78, 2010. View at Google Scholar
  13. U. N. Das, R. Deka, and V. M. Soundalgekar, “Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction,” Forschung im Ingenieurwesen Engineering Research, vol. 60, no. 10, pp. 284–287, 1994. View at Google Scholar · View at Scopus
  14. R. Muthucumaraswamy and P. Ganesan, “First-order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux,” Acta Mechanica, vol. 147, no. 1–4, pp. 45–57, 2001. View at Publisher · View at Google Scholar · View at Scopus
  15. P. V. Satya Narayana, D. Ch. Kesavaiah, and S. Venkataramana, “Viscous dissipation and thermal radiation effects on an unsteady MHD convection flow past a semi-infinite vertical permeable moving porous plate,” International Journal of Mathematical Archive, vol. 2, no. 4, pp. 476–487, 2011. View at Google Scholar
  16. R. Kandasamy, K. Periasamy, and K. K. S. Prabhu, “Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection,” International Journal of Heat and Mass Transfer, vol. 48, no. 7, pp. 1388–1394, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. J. Gireesh Kumar, P. V. Satya Narayana, and S. Ramakrishna, “Effects of the chemical reaction and mass transfer on MHD unsteady free convection flow past an infinite vertical plate with constant suction and heat sink,” Ultra Science, vol. 21, no. 3, pp. 639–650, 2009. View at Google Scholar
  18. G. R. Reddy, P. V. S. Narayana, and S. Venkataramana, “Peristaltic transport of a conducting fluid in an inclined asymmetric channel,” Applied Mathematical Sciences, vol. 4, no. 35, pp. 1729–1741, 2010. View at Google Scholar · View at Scopus
  19. D. Pal and B. Talukdar, “Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 7, pp. 1813–1830, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. E. M. Abo-Eldahab and M. A. El Aziz, “Flow and heat transfer in a micropolar fluid past a stretching surface embedded in a non-Darcian porous medium with uniform free stream,” Applied Mathematics and Computation, vol. 162, no. 2, pp. 881–899, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. R. S. R. Gorla, A. A. Mohammedien, M. A. Mansour, and I. A. Hassanien, “Unsteady natural convection from a heated vertical plate in micropolar fluid,” Numerical Heat Transfer A, vol. 28, no. 2, pp. 253–262, 1995. View at Publisher · View at Google Scholar
  22. A. Raptis and C. Perdikis, “Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field,” International Journal of Non-Linear Mechanics, vol. 41, no. 4, pp. 527–529, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. D. Ch. Kesavaiah, P. V. Satya Narayana, and S. Venkataramana, “Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction,” Journal of Applied Mathematics and Mechanics, vol. 7, no. 1, pp. 52–69, 2011. View at Google Scholar
  24. K. Vajravelu, S. Sreenadh, and P. Lakshminarayana, “The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 8, pp. 3107–3125, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. A. Y. Bakier and R. S. R. Gorla, “Thermal radiation effect on mixed convection from horizontal surfaces in saturated porous media,” Transport in Porous Media, vol. 23, no. 3, pp. 357–363, 1996. View at Google Scholar · View at Scopus
  26. A. Y. Bakier, “Thermal radiation effect on mixed convection from vertical surfaces in saturated porous media,” International Communications in Heat and Mass Transfer, vol. 28, no. 1, pp. 119–126, 2001. View at Publisher · View at Google Scholar · View at Scopus
  27. 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. 46, pp. 1751–1758, 1996. View at Google Scholar · View at Scopus
  28. C. E. Schwartz and J. M. Smith, “Flow distribution in packed beds,” Industrial and Engineering Chemistry, vol. 45, no. 6, pp. 1209–1218, 1969. View at Publisher · View at Google Scholar
  29. W. M. Schertz and K. B. Bischoff, “Thermal and material transport in nonisothermal packed beds,” AIChE Journal, vol. 15, no. 4, pp. 597–604, 1969. View at Google Scholar · View at Scopus
  30. R. F. Benenati and C. R. Brosilow, “Void fraction distribution in beds of spheres,” AIChE Journal, vol. 8, no. 3, pp. 359–361, 1962. View at Google Scholar
  31. B. C. Chandrasekhara and P. M. S. Namboodiri, “Influence of variable permeability on combined free and forced convection about inclined surfaces in porous media,” International Journal of Heat and Mass Transfer, vol. 28, no. 1, pp. 199–206, 1985. View at Google Scholar · View at Scopus
  32. S. N. Murthy and J. Feyen, “Influence of variable permeability on the dispersion of a chemically reacting solute in porous media,” International Journal of Engineering Science, vol. 27, no. 12, pp. 1661–1671, 1989. View at Google Scholar · View at Scopus
  33. J. A. Shercliff, A Text Book of Magnetohydrodynamics, Pergamon Press, New York, NY, USA, 1965.
  34. F. S. Ibrahim, A. M. Elaiw, and A. A. Bakr, “Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction,” Communications in Nonlinear Science and Numerical Simulation, vol. 13, no. 6, pp. 1056–1066, 2008. View at Publisher · View at Google Scholar · View at Scopus
  35. M. Sudheer Babu and P. V. Satya Narayana, “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,” JP Journal of Heat and Mass Transfer, vol. 3, pp. 219–234, 2009. View at Google Scholar
  36. R. A. Mohamed and S. M. Abo-Dahab, “Influence of chemical reaction and thermal radiation on the heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium with heat generation,” International Journal of Thermal Sciences, vol. 48, no. 9, pp. 1800–1813, 2009. View at Publisher · View at Google Scholar · View at Scopus