International Scientific Journal

Authors of this Paper

External Links


In this paper, the effect of radiation on heat transfer in boundary layer flow over an exponentially shrinking sheet is investigated analytically. The similarity transformations are used to transform the partial differential equations to ordinary ones, and an analytical solution is obtained using the homotopy perturbation method. The heat transfer characteristics for different values of the Prandtl number, Eckert number, and radiation number are analyzed and discussed. Finally, the validity of results are verified by comparing with the existing numerical results. Results are presented in tabulated forms to study the efficiency and accuracy of the homotopy perturbation method.
PAPER REVISED: 2015-01-21
PAPER ACCEPTED: 2015-02-19
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S191 - S196]
  1. Altan, T., et al., Metal Forming, American Society for Metals, Metals Park, O., USA, 44073, 1995
  2. Fisher, E. G., Extrusion of Plastics, John Wiley and Sons Inc, New York, USA,1976
  3. Tadmor, Z., Klein, I., Engineering Principles of Plasticating Extrusion, Van Norstrand Reinhold, New York, USA, 1970
  4. Sakiadis, B. C., Boundary Layer Behavior on Continuous Solid Surfaces: I Boundary Layer Equations for Two Dimensional and Axisymmetric Flow, AIChE J., 7 (1961), 1, pp. 26-28
  5. Crane, L. J., Flow Past a Stretching Plate, J. Appl. Math. Phys. (ZAMP), 21 (1970), 4, pp. 645-647
  6. Wang, C. Y., The Three-Dimensional Flow due to a Stretching Flat Surface, Phys. Fluids, 27 (1984), 8, pp. 1915-1917
  7. Andersson, H. I., et al., Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet, Int. J. Nonl. Mech, 27 (1992), 6, pp. 929-939
  8. Magyari, E., Keller, B., Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface, Journal of Physics D: Applied Physics, 32 (2000), 5, pp. 577-585
  9. Andersson, H. I., Slip Flow past a Stretching Surface, Act. Mech., 158 (2002), 1-2, pp. 121-125
  10. Bataller, R. C., Similarity Solutions for Flow and Heat Transfer of a Quiescent Fluid over a Nonlinearly Stretching Surface, J. Mater. Proc. Tech, 203 (2008), 1-3, pp. 176-183
  11. Bidin, B., Nazar, R., Numerical Solution of the Boundary Layer Flow Over an Exponentially Stretching Sheet with Thermal Radiation, European Journal of Scientific Research, 33 (2009), 4, pp. 710-717
  12. Miklavcic, M., Wang, C. Y., Viscous Flow due to a Shrinking Sheet, Quart. Appl. Math, 64 (2006), 2, pp. 283-290
  13. Goldstein, S., On Backward Boundary Layers and Flow in Converging Passages, J. Fluid Mech, 21 (1965), 1, pp. 33-45
  14. He, J.-H., Homotopy Perturbation Technique, Comp. Meth. Appl. Mech. Engrg, 178 (1999), 3-4, pp. 257-292
  15. He, J.-H., Homotopy Perturbation Method for Solving Boundary Value Problems, Phys. Lett. A, 350 (2006), 1-2, pp. 87-88
  16. Xu, L., He's Homotopy Perturbation Method for a Boundary Layer Equation in Unbounded Domain, Comput. Math. Appl. 54 (2007), 7-8, pp. 1067-1070
  17. He, J.-H., Recent Developments of the Homotopy Perturbation Method, Top. Meth. Nonlin. Anal., 31 (2008), 2, pp. 205-209
  18. Khan, Y., Wu, Q., Homotopy Perturbation Transform Method for Nonlinear Equations Using He's Polynomials, Comput. Math. Appl., 61 (2011), 8, pp. 1963-1967
  19. He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
  20. Madani, M., et al., Application of Homotopy Perturbation and Numerical Methods to the Circular Porous Slider, Internat. J. Numer. Methods Heat Fluid Flow, 22 (2012), 6, pp. 705-717
  21. Khan, Y., et al., The Effects of Variable Viscosity and Thermal Conductivity on a Thin Film Flow over a Shrinking/Stretching Sheet, Comput. Math. Appl., 61 (2011), 11, pp. 3391-3399
  22. He, J.-H., Analytical Methods for Thermal Science - an Elementary Introduction, Thermal Science, 15 (2011), Suppl. 1, pp. S1-S3
  23. Khan, Y., et al., A Series Solution of the Long Porous Slider, Tribology Transactions, 54 (2011), 2, pp. 187-191
  24. Hetmaniok, E., et al., Application of the Homotopy Perturbation Method for the Solution of Inverse Heat Conduction Problem, International Communications in Heat and Mass Transfer, 39 (2012), 1, pp. 30-35

© 2023 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence