Table of Contents
Journal of Computational Engineering
Volume 2014 (2014), Article ID 634328, 7 pages
http://dx.doi.org/10.1155/2014/634328
Research Article

Combined Analytical-Numerical Solution for MHD Viscous Flow over a Stretching Sheet

1Department of Mathematics, Edwardes College Peshawar, Khyber Pakhtunkhwa 25000, Pakistan
2Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1

Received 5 November 2013; Revised 10 February 2014; Accepted 12 February 2014; Published 13 March 2014

Academic Editor: Amine Ammar

Copyright © 2014 Fazle Mabood and Waqar A. Khan. 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. T. Altan, S. Oh, and H. Gegel, Metal Forming Fundamentals and Applications, American Society of Metals, Metals Park, Ohio, USA, 1979.
  2. Z. Tadmor and I. Klein, Engineering Principles of Plasticating Extrusion, Polymer Science and Engineering Series, Van Nostrand Reinhold, New York, NY, USA, 1970.
  3. B. C. Sakiadis, “Boundary-layer behavior on continuous solid surface: I. Boundary-layer equations for two-dimensional and axisymmetric flow,” AIChE Journal, vol. 7, pp. 26–28, 1961. View at Google Scholar
  4. B. C. Sakiadis, “Boundary-layer behavior on continuous solid surface: II. Boundary-layer equations for two-dimensional and axisymmetric flow,” AIChE Journal, vol. 7, pp. 221–225, 1961. View at Google Scholar
  5. F. K. Tsou, E. M. Sparrow, and R. J. Goldstein, “Flow and heat transfer in the boundary layer on a continuous moving surface,” International Journal of Heat and Mass Transfer, vol. 10, no. 2, pp. 219–235, 1967. View at Google Scholar · View at Scopus
  6. L. J. Crane, “Flow past a stretching plate,” Zeitschrift für angewandte Mathematik und Physik, vol. 21, no. 4, pp. 645–647, 1970. View at Publisher · View at Google Scholar · View at Scopus
  7. T. C. Chiam, “Micropolar fluid flow over a stretching sheet,” Zeitschrift für Angewandte Mathematik und Mechanik, vol. 62, pp. 565–568, 1982. View at Google Scholar
  8. B. S. Dandapat and A. S. Gupta, “Flow and heat transfer in a viscoelastic fluid over a stretching sheet,” International Journal of Non-Linear Mechanics, vol. 24, no. 3, pp. 215–219, 1989. View at Google Scholar · View at Scopus
  9. P. D. Ariel, “Computation of flow of viscoelastic fluids by parameter differentiation,” International Journal for Numerical Methods in Fluids, vol. 15, no. 11, pp. 1295–1312, 1992. View at Google Scholar · View at Scopus
  10. P. D. Ariel, “On the second solution of flow of viscoelastic fluid over a stretching sheet,” Quarterly of Applied Mathematics, vol. 53, no. 4, pp. 629–632, 1995. View at Google Scholar
  11. M. Sajid and T. Hayat, “The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet,” Chaos, Solitons and Fractals, vol. 39, no. 3, pp. 1317–1323, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. M. Sajid, T. Javed, and T. Hayat, “MHD rotating flow of a viscous fluid over a shrinking surface,” Nonlinear Dynamics, vol. 51, no. 1-2, pp. 259–265, 2008. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Fathizadeh, M. Madani, Y. Khan, N. Faraz, A. Yildirim, and S. Tutkun, “An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet,” Journal of King Saud University-Science, vol. 25, no. 2, pp. 107–113, 2011. View at Google Scholar
  14. P. D. Ariel, “MHD flow of a viscoelastic fluid past a stretching sheet with suction,” Acta Mechanica, vol. 105, pp. 49–56, 1994. View at Publisher · View at Google Scholar · View at Scopus
  15. S. Liao, “A new branch of solutions of boundary-layer flows over an impermeable stretched plate,” International Journal of Heat and Mass Transfer, vol. 49, no. 12, pp. 2529–2539, 2005. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Liao, “A new branch of solutions of boundary-layer flows over a permeable stretching plate,” International Journal of Non-Linear Mechanics, vol. 42, no. 6, pp. 819–830, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. V. Marinca and N. Herisanu, “Optimal homotopy perturbation method for strongly nonlinear differential equations,” Nonlinear Science Letters A, vol. 1, no. 3, pp. 273–280, 2010. View at Google Scholar
  18. V. Marinca and N. Herişanu, “Application of optimal asymptotic method for solving nonlinear equations arising in heat transfer,” International Communications in Heat and Mass Transfer, vol. 35, no. 6, pp. 710–715, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. V. Marinca and N. Herişanu, “Determination of periodic solutions for the motion of a particle on a rotating parabola by means of the optimal homotopy asymptotic method,” Journal of Sound and Vibration, vol. 329, no. 9, pp. 1450–1459, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. F. Mabood, W. A. Khan, and A. I. M. Ismail, “Optimal homotopy asymptotic method for flow and heat transfer of a viscoelastic fluid in an axisymmetric channel with a porous wall,” PLoS ONE, vol. 8, no. 12, Article ID e83581. View at Publisher · View at Google Scholar