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Heat and Mass Transfer for Viscous Flow with Radiation Effect past a Nonlinearly Stretching Sheet

Authors: Kai-Long Hsiao


In this study, an analysis has been performed for heat and mass transfer of a steady laminar boundary-layer flow of a viscous flow past a nonlinearly stretching sheet. Parameters n, Ec, k0, Sc represent the dominance of the nonlinearly effect, viscous effect, radiation effect and mass transfer effect which have presented in governing equations, respectively. The similarity transformation and the finite-difference method have been used to analyze the present problem.

Keywords: Nonlinearly stretching sheet, heat and mass transfer, radiation effect, viscous effect.

Digital Object Identifier (DOI):

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[1] J.P. Hartnett, Viscoelastic fluids: a new challenge in heat transfer, Transactions of ASME, 296-303, (1992).
[2] K.R. Rajagopal, A.S. Gupta and T.Y. Na, A note on the Falkner-Skan flows of a non-Newtonian fluid, Int. J. Non-linear Mech., 313-320, (1983).
[3] M. Massoudi and M. Ramezan, Effect of injection or suction on the Falkner-Skan flows of second grade fluids, Int. J. Non-linear Mech., 221-227, (1989).
[4] K. R. Rajagopal, Boundary Layers in Non-linear Fluids, Pitman Monographs and Surveys in Pure and Applied Mathematics, 209-218, (1995).
[5] K. Vajravelu and E. Soewono, Fourth order non-Linear systems arising in combined free and forced convection flow of a second order fluid, Int. J. Non-Linear Mech. Vol. 29, No. 6, 861-869 (1994).
[6] A.A. Raptis, Heat Transfer From Flow of an Elastico Viscous Fluid, Int. Comm. Heat Mass Transfer Vol. 16, 193-197, (1989).
[7] Sujit Kumar Khan, Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation, International Journal of Heat and Mass Transfer, Volume 49, Issues 3-4, February 2006, Pages 628-639.
[8] Rafael 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, Corrected Proof, Available online 19 November 2007.
[10] Rafael 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, Corrected Proof, Available online 22 October 2007.
[11] Rafael 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] Sanjayanand, Emmanuel; Khan, Sujit Kumar, On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet, International Journal of Thermal Sciences Volume: 45, Issue: 8, August, 2006, pp. 819-828.
[14] Cortell, Rafael, MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species, Chemical Engineering & Processing Volume: 46, Issue: 8, August, 2007, pp. 721-728.
[15] Seddeek, M.A., Heat and mass transfer on a stretching sheet with a magnetic field in a visco-elastic fluid flow through a porous medium with heat source or sink, Computational Materials Science Volume: 38, Issue: 4, February, 2007, pp. 781-787.
[16] R. S. Rivlin and J. L. Ericksen, Stress deformation relation for isotropic materials, J. Rat. Mech. Analysis, 323-425, (1955).
[17] T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, (1984).
[18] Kai-Long Hsiao and Guan-Bang 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.
[19] Kai-Long 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).
[20] 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).
[21] 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).
[22] 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.
[23] 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.
[24] K. Vajravelu, Convection Heat Transfer at a Stretching Sheet with Suction and Blowing, J. of Mathematical Analysis and Application, 188, 1002-1011(1994).
[25] Chapra and Canale, Numerical Methods for Engineers, McGRAW-HILL, 2ed, 1990.