About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 453457, 11 pages
http://dx.doi.org/10.1155/2012/453457
Research Article

Mixed Convection Boundary Layer Flow towards a Vertical Plate with a Convective Surface Boundary Condition

1Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, 86400 Parit Raja, Malaysia
2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, Malaysia

Received 7 August 2012; Accepted 2 December 2012

Academic Editor: Alex Elias-Zuniga

Copyright © 2012 Fazlina Aman and Anuar Ishak. 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. N. Ramachandran, T. S. Chen, and B. F. Armaly, “Mixed convection in stagnation flows adjacent to vertical surfaces,” Journal of Heat Transfer, vol. 110, no. 2, pp. 373–377, 1988. View at Scopus
  2. M. Ali and F. Al-Yousef, “Laminar mixed convection from a continuously moving vertical surface with suction or injection,” Heat and Mass Transfer, vol. 33, no. 4, pp. 301–306, 1998. View at Scopus
  3. H. T. Lin and H. L. Hoh, “Mixed convection from an isothermal vertical flat plate moving in parallel or reversely to a free stream,” Heat and Mass Transfer, vol. 32, no. 6, pp. 441–445, 1997. View at Scopus
  4. M. K. Partha, P. V. S. N. Murthy, and G. P. Rajasekhar, “Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface,” Heat and Mass Transfer, vol. 41, no. 4, pp. 360–366, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. C. H. Chen, “Mixed convection cooling of a heated, continuously stretching surface,” Heat and Mass Transfer, vol. 36, no. 1, pp. 79–86, 2000. View at Publisher · View at Google Scholar · View at Scopus
  6. M. E. Ali, “The buoyancy effects on the boundary layers induced by continuous surfaces stretched with rapidly decreasing velocities,” Heat and Mass Transfer, vol. 40, no. 3-4, pp. 285–291, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. M. E. Ali, “The effect of lateral mass flux on the natural convection boundary layers induced by a heated vertical plate embedded in a saturated porous medium with internal heat generation,” International Journal of Thermal Sciences, vol. 46, no. 2, pp. 157–163, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Ishak, “Boundary layer flow adjacent to a vertical plate with constant surface temperature,” Sains Malaysiana, vol. 39, no. 6, pp. 1035–1039, 2010. View at Scopus
  9. N. Bachok, A. Ishak, and I. Pop, “Mixed convection boundary layer flow over a permeable vertical flat plate embedded in an anisotropic porous medium,” Mathematical Problems in Engineering, vol. 2010, Article ID 659023, 12 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. Y. Y. Lok, N. Amin, D. Campean, and I. Pop, “Steady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 15, no. 7, pp. 654–670, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. 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
  12. R. C. Bataller, “Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition,” Applied Mathematics and Computation, vol. 206, no. 2, pp. 832–840, 2008. View at Publisher · View at Google Scholar · View at Scopus
  13. 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
  14. S. Yao, T. Fang, and Y. Zhong, “Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 2, pp. 752–760, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. J. H. Merkin and I. Pop, “The forced convection flow of a uniform stream over a flat surface with a convective surface boundary condition,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 9, pp. 3602–3609, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. P. B. Bailey, L. F. Shampine, and P. E. Waltman, Nonlinear Two Point Boundary Value Problems, Academic Press, New York, NY, USA, 1968.
  17. D. B. Meade, B. S. Haran, and R. E. White, “The shooting technique for the solution of two-point boundary value problems,” MapleTech, vol. 3, pp. 85–93, 1996.
  18. K. Bhattacharyya and G. C. Layek, “Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation,” International Journal of Heat and Mass Transfer, vol. 54, no. 1-3, pp. 302–307, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. K. Bhattacharyya, S. Mukhopadhyay, and G. C. Layek, “Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet,” International Journal of Heat and Mass Transfer, vol. 54, no. 1-3, pp. 308–313, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. A. Ishak, “Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect,” Meccanica, vol. 45, no. 3, pp. 367–373, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. N. Bachok, A. Ishak, and I. Pop, “Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet,” Physics Letters A, vol. 374, no. 40, pp. 4075–4079, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. N. Afzal and T. Hussain, “Mixed convection over a horizontal plate,” Journal of Heat Transfer, vol. 106, no. 1, pp. 240–241, 1984. View at Scopus
  23. A. Ishak, R. Nazar, and I. Pop, “Dual solutions in mixed convection boundary-layer flow with suction or injection,” IMA Journal of Applied Mathematics, vol. 72, no. 4, pp. 451–463, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Ishak, R. Nazar, and I. Pop, “Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium,” International Journal of Heat and Mass Transfer, vol. 51, no. 5-6, pp. 1150–1155, 2008. View at Publisher · View at Google Scholar · View at Scopus
  25. A. Ishak, R. Nazar, N. M. Arifin, and I. Pop, “Dual solutions in mixed convection flow near a stagnation point on a vertical porous plate,” International Journal of Thermal Sciences, vol. 47, no. 4, pp. 417–422, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. A. Ishak, J. H. Merkin, R. Nazar, and I. Pop, “Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux,” Zeitschrift für Angewandte Mathematik und Physik, vol. 59, no. 1, pp. 100–123, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. M. I. Char, “Heat transfer in a hydromagnetic flow over a stretching sheet,” Heat and Mass Transfer, vol. 29, no. 8, pp. 495–500, 1994. View at Publisher · View at Google Scholar · View at Scopus