Table of Contents
ISRN Thermodynamics
Volume 2013, Article ID 790604, 10 pages
http://dx.doi.org/10.1155/2013/790604
Research Article

Similarity Solution of Heat and Mass Transfer for Natural Convection over a Moving Vertical Plate with Internal Heat Generation and a Convective Boundary Condition in the Presence of Thermal Radiation, Viscous Dissipation, and Chemical Reaction

1Department of Mathematics, Priyadarshini College of Engineering and Technology, Nellore 524004, India
2Department of Mathematics, Sri Venkateswara University, Tirupat 517501, India

Received 14 April 2013; Accepted 7 July 2013

Academic Editors: R. R. Burnette, T. M. Inerbaev, and P. Trens

Copyright © 2013 S. Mohammed Ibrahim and N. Bhashar Reddy. 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. E. L. Cussler, Diffusion Mass Transfer in Fluid Systems, Cambridge University Press, London, UK, 1998.
  2. 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
  3. S. P. Anjalidevi and R. Kandasamy, “Effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate,” Heat and Mass Transfer, vol. 35, no. 6, pp. 465–467, 1999. View at Google Scholar · View at Scopus
  4. M. A. Seddeek, A. A. Darwish, and M. S. Abdelmeguid, “Effects of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media with radiation,” Communications in Nonlinear Science and Numerical Simulation, vol. 12, no. 2, pp. 195–213, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. A. M. Salem and M. Abd El-Aziz, “Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption,” Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236–1254, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. 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
  7. 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
  8. J. C. Crepeau and R. Clarksean, “Similarity solutions of natural convection with internal heat generation,” Journal of Heat Transfer, vol. 119, no. 1, pp. 183–185, 1997. View at Google Scholar · View at Scopus
  9. P. M. Patil and P. S. Kulkarni, “Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation,” International Journal of Thermal Sciences, vol. 47, no. 8, pp. 1043–1054, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Mahdy, “Effect of chemical reaction and heat generation or absorption on double-diffusive convection from a vertical truncated cone in porous media with variable viscosity,” International Communications in Heat and Mass Transfer, vol. 37, no. 5, pp. 548–554, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Ishak, “Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition,” Applied Mathematics and Computation, vol. 217, no. 2, pp. 837–842, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Aziz, “A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 4, pp. 1064–1068, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. O. D. Makinde and P. O. Olanrewaju, “Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition,” Journal of Fluids Engineering, vol. 132, no. 4, Article ID 044502, 4 pages, 2010. View at Publisher · View at Google Scholar
  14. O. D. Makinde, “Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition,” Thermal Science, vol. 15, pp. S137–S143, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. P. O. Olanrewaju, J. A. Gbadeyan, T. Hayat, and A. A. Hendi, “Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition,” South African Journal of Science, vol. 107, no. 9-10, article 476, 6 pages, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. O. D. Makinde and P. O. Olanrewaju, “Combined effects of internal heat generation and buoyancy force on boundary layer flow over a vertical plate with a convective surface boundary condition,” The Canadian Journal of Chemical Engineering, vol. 90, no. 5, pp. 1289–1294, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. R. M. Sonth, S. K. Khan, M. S. Abel, and K. V. Prasad, “Heat and mass transfer in a visco-elastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation,” Heat and Mass Transfer, vol. 38, no. 3, pp. 213–220, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. C.-H. Chen, “Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation,” International Journal of Engineering Science, vol. 42, no. 7, pp. 699–713, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. 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
  20. D. Pal and H. Mondal, “Effects of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 4, pp. 1942–1958, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. I. J. Uwanta, “Effects of chemical reaction and radiation on heat and mass transfer past a semi-infinite vertical porous plate with constant mass flux and dissipation,” European Journal of Scientific Research, vol. 87, no. 2, pp. 190–200, 2012. View at Google Scholar
  22. P. O. Olanrewaju, J. A. Gbadeyan, T. Hayat, and A. A. Hendi, “Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition,” South African Journal of Science, vol. 107, no. 9-10, pp. 1–6, 2011. View at Google Scholar · View at Scopus
  23. 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, 1998. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Raptis, “Flow of a micropolar fluid past a continuously moving plate by the presence of radiation,” International Journal of Heat and Mass Transfer, vol. 41, no. 18, pp. 2865–2866, 1998. View at Publisher · View at Google Scholar · View at Scopus
  25. A. J. Chamkha, “Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium,” International Journal of Engineering Science, vol. 35, no. 10-11, pp. 975–986, 1997. View at Google Scholar · View at Scopus