Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30685
Mixed Convection with Radiation Effect over a Nonlinearly Stretching Sheet

Authors: Kai-Long Hsiao


In this study, an analysis has been performed for free convection with radiation effect over a thermal forming nonlinearly stretching sheet. Parameters n, k0, Pr, G represent the dominance of the nonlinearly effect, radiation effect, heat transfer and free convection effects which have been presented in governing equations, respectively. The similarity transformation and the finite-difference methods have been used to analyze the present problem. From the results, we find that the effects of parameters n, k0, Pr, Ec and G to the nonlinearly stretching sheet. The increase of Prandtl number Pr, free convection parameter G or radiation parameter k0 resulting in the increase of heat transfer effects, but increase of the viscous dissipation number Ec will decrease of heat transfer effect.

Keywords: radiation effect, free convection, finite-difference, Nonlinearly stretching sheet

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1382


[1] B.C. Sakiadis, Boundary-layer behaviour on continuous solid surfaces, AIChE J. 7 (1961), pp. 26-28.
[2] K. Sadeghy, A.H. Najafi and M. Saffaripour, Sakiadis flow of an upper-convected Maxwell fluid, Int. J. Non-Linear Mech. 40 (2005), pp. 1220-1228.
[3] P.D. Ariel, T. Hayat and S. Asghar, The flow of an elasto-viscous fluid past a stretching sheet with partial slip, Acta Mech. 187 (2006), pp. 29-35.
[4] S.J. Liao, An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate, Commun. Non-linear Sci. Numer. Simul. 11 (2006), pp. 326-339.
[5] H. Xu, An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, Int. J. Eng. Sci. 43 (2005), pp. 859-874.
[6] R. Cortell, Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet, Phys. Lett. A 357 (2006), pp. 298-305.
[7] R. Cortell, Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing, Fluid Dyn. Res. 37 (2005), pp. 231-245.
[8] R. Cortell, Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet, Physics Letters A, Volume 372, Issue 5, 28 January 2008, Pages 631-636.
[9] S. Awang Kechil and I. Hashim, Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field, Physics Letters A, In Press, 2007.
[10] R. Cortell Bataller, Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface, Journal of Materials Processing Technology, In Press, 2007.
[11] R. Cortell, Viscous flow and heat transfer over a nonlinearly stretching sheet, Applied Mathematics and Computation, Volume 184, Issue 2, 15 January 2007, Pages 864-873.
[12] K. Vajravelu, Viscous flow over a nonlinearly stretching sheet Applied Mathematics and Computation, Volume 124, Issue 3, 15 December 2001, Pages 281-288.
[13] Z. Abbas, T. Hayata, Radiation effects on MHD flow in a porous space, International Journal of Heat and Mass Transfer, Volume 51, Issues 5-6, March 2008, Pages 1024-1033.
[14] M.Q. Brewster, Thermal Radiative Transfer Properties, Wiley, New York,1972.
[15] K.-L. Hsiao and G.-B. Chen, Conjugate Heat Transfer of Mixed Convection for Viscoelastic Fluid Past A Stretching Sheet, Mathematical Problems in Engineering, Volume 2007, Article ID 17058, 21 pages doi:10.1155/2007/17058.
[16] K.-L. Hsiao, Conjugate Heat Transfer of Magnetic Mixed Convection with Radiative and Viscous Dissipation Effects for Second Grade Viscoelastic Fluid past a Stretching Sheet, Applied Thermal Engineering, 27/11-12 pp. 1895-1903 (2007).
[17] Kai-Long Hsiao, Heat and Mass Transfer for Electrical Conducting Mixed Convection with Radiation Effect for Viscoelastic Fluid past a Stretching Sheet, Journal of Mechanics, Vol.24, No.2, June 2008, (pp.N21-N27).
[18] Kai-Long Hsiao, MHD Mixed Convection of Viscoelastic Fluid over a Stretching Sheet with Ohmic Dissipation, Journal of Mechanics, Vol.24, No.3, September 2008, (pp.N29-N34).
[19] K. Vajravelu, Convection Heat Transfer at a Stretching Sheet with Suction and Blowing, J. of Mathematical Analysis and Application, 188, 1002-1011(1994).
[20] Kai-Long Hsiao and C.H. Hsu, Conjugate heat transfer of mixed convection for viscoelastic fluid past a horizontal flat-plate fin, Applied Thermal Engineering, 29/1, pp 28-36, January 2009.
[21] Kai-Long Hsiao and C.H. Hsu, Conjugate heat transfer of mixed convection for visco-elastic fluid past a triangular fin, Nonlinear Analysis (Series B: Real World Applications), Vol.10/1, pp 130-143, February 2009.
[22] Chapra and Canale, Numerical Methods for Engineers, McGRAW-HILL, 2ed, 1990.