Thermal Radiation Effects on MHD Boundary Layer Flow over an Exponentially Stretching Surface

Abstract

The steady two-dimensional laminar boundary layer flow and heat transfer of a viscous incompressible electrically conducting fluid over an exponentially stretching surface in the presence of a uniform magnetic field with thermal radiation are investigated. The governing boundary layer equations are transformed to ordinary differential equations by taking suitable similarity transformation and solved numerically by shooting method. The effects of various parameters such as magnetic parameter, radiation parameter, Prandtl number and Eckert number on local skin-friction coefficient, local Nusselt number, velocity and temperature distributions are computed and represented graphically.

Share and Cite:

Chaudhary, S. , Singh, S. and Chaudhary, S. (2015) Thermal Radiation Effects on MHD Boundary Layer Flow over an Exponentially Stretching Surface. Applied Mathematics, 6, 295-303. doi: 10.4236/am.2015.62027.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Sakiadis, B.C. (1961) Boundary-Layer Behavior on Continuous Solid Surfaces: I. Boundary-Layer Equations for Two-Dimensional and Axisymmetric Flow. American Institute of Chemical Engineers Journal, 7, 26-28.
http://dx.doi.org/10.1002/aic.690070108
[2] Crane, L.J. (1970) Flow past a Stretching Plate. Zeitschrift für Angewandte Mathematik und Physik, 21, 645-647.
http://dx.doi.org/10.1007/BF01587695
[3] Gupta, P.S. and Gupta, A.S. (1977) Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing. The Canadian Journal of Chemical Engineering, 55, 744-746.
http://dx.doi.org/10.1002/cjce.5450550619
[4] Carragher, P. and Crane, L.J. (1982) Heat Transfer on a Continuous Stretching Sheet. Zeitschrift für AngewandteMathematik und Mechanik, 62, 564-565.
http://dx.doi.org/10.1002/zamm.19820621009
[5] Grubka, L.J. and Bobba, K.M. (1985) Heat Transfer Characteristics of a Continuous, Stretching Surface with Variable Temperature. Journal of Heat Transfer, 107, 248-250.
http://dx.doi.org/10.1115/1.3247387
[6] Chen, C.K. and Char, M.I. (1988) Heat Transfer of a Continuous, Stretching Surface with Suction or Blowing. Journal of Mathematical Analysis and Applications, 135, 568-580.
http://dx.doi.org/10.1016/0022-247X(88)90172-2
[7] Ali, M.E. (1994) Heat Transfer Characteristics of a Continuous Stretching Surface. Heat and Mass Transfer, 29, 227-234.
[8] Andersson, H.I. (2002) Slip Flow past a Stretching Surface. Acta Mechanica, 158, 121-125.
http://dx.doi.org/10.1007/BF01463174
[9] Ariel, P.D., Hayat, T. and Asghar, S. (2006) The Flow of an Elastico-Viscous Fluid past a Stretching Sheet with Partial Slip. Acta Mechanica, 187, 29-35.
http://dx.doi.org/10.1007/s00707-006-0370-3
[10] Ishak, A., Nazar, R. and Pop, I. (2006) Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet. Meccanica, 41, 509-518.
http://dx.doi.org/10.1007/s11012-006-0009-4
[11] Jat, R.N. and Chaudhary, S. (2008) Magnetohydrodynamic Boundary Layer Flow Near the Stagnation Point of a Stretching Sheet. Il Nuovo Cimento della Società Italiana di Fisica B: General Physics, 123, 555-566.
[12] Jat, R.N. and Chaudhary, S. (2009) MHD Flow and Heat Transfer over a Stretching Sheet. Applied Mathematical Sciences, 3, 1285-1294.
[13] Wang, C.Y. (2009) Analysis of Viscous Flow Due to a Stretching Sheet with Surface Slip and Suction. Nonlinear Analysis: Real World Applications, 10, 375-380.
http://dx.doi.org/10.1016/j.nonrwa.2007.09.013
[14] Nadeem, S., Hussain, A. and Khan, M. (2010) HAM Solutions for Boundary Layer Flow in the Region of the Stagnation Point towards a Stretching Sheet. Communications in Nonlinear Science and Numerical Simulation, 15, 475-481.
http://dx.doi.org/10.1016/j.cnsns.2009.04.037
[15] Magyari, E. and Keller, B. (1999) Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface. Journal of Physics D: Applied Physics, 32, 577-585.
http://dx.doi.org/10.1088/0022-3727/32/5/012
[16] Elbashbeshy, E.M.A. (2001) Heat Transfer over an Exponentially Stretching Continuous Surface with Suction. Archives of Mechanics, 53, 643-651.
[17] Partha, M.K., Murthy, P.V.S.N. and Rajasekhar, G.P. (2005) Effect of Viscous Dissipation on the Mixed Convection Heat Transfer from an Exponentially Stretching Surface. Heat and Mass Transfer, 41, 360-366.
http://dx.doi.org/10.1007/s00231-004-0552-2
[18] Khan, S.K. (2006) Boundary Layer Viscoelastic Fluid Flow over an Exponentially Stretching Sheet. International Journal of Applied Mechanics and Engineering, 11, 321-335.
[19] Sanjayanand, E. and Khan, S.K. (2006) On Heat and Mass Transfer in a Viscoelastic Boundary Layer Flow over an Exponentially Stretching Sheet. International Journal of Thermal Sciences, 45, 819-828.
http://dx.doi.org/10.1016/j.ijthermalsci.2005.11.002
[20] El-Aziz, M.A. (2009) Viscous Dissipation Effect on Mixed Convection Flow of a Micropolar Fluid over an Exponentially Stretching Sheet. Canadian Journal of Physics, 87, 359-368.
http://dx.doi.org/10.1139/P09-047
[21] Elbashbeshy, E.M.A. (2000) Radiation Effect on Heat Transfer over a Stretching Surface. Canadian Journal of Physics, 78, 1107-1112.
http://dx.doi.org/10.1139/p00-085
[22] Sajid, M. and Hayat, T. (2008) Influence of Thermal Radiation on the Boundary Layer Flow Due to an Exponentially Stretching Sheet. International Communications in Heat and Mass Transfer, 35, 347-356.
http://dx.doi.org/10.1016/j.icheatmasstransfer.2007.08.006
[23] Bidin, B. and Nazar, R. (2009) Numerical Solution of the Boundary Layer Flow over an Exponentially Stretching Sheet with Thermal Radiation. European Journal of Scientific Research, 33, 710-717.
[24] Jat, R.N. and Chaudhary, S. (2010) Radiation Effects on the MHD Flow Near the Stagnation Point of a Stretching Sheet. Zeitschrift für angewandte Mathematik und Physik, 61, 1151-1154.
http://dx.doi.org/10.1007/s00033-010-0072-5
[25] Nadeem, S., Zaheer, S. and Fang, T. (2011) Effects of Thermal Radiation on the Boundary Layer Flow of a Jeffrey Fluid over an Exponentially Stretching Surface. Numerical Algorithms, 57, 187-205.
http://dx.doi.org/10.1007/s11075-010-9423-8
[26] Mukhopadhyay, S. and Gorla, R.S.R. (2012) Effects of Partial Slip on Boundary Layer Flow past a Permeable Exponential Stretching Sheet in Presence of Thermal Radiation. Heat and Mass Transfer, 48, 1773-1781.
http://dx.doi.org/10.1007/s00231-012-1024-8

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.