WJM  Vol.5 No.9 , September 2015
MHD Mixed Convection Flow of a Casson Fluid over an Exponentially Stretching Surface with the Effects of Soret, Dufour, Thermal Radiation and Chemical Reaction
ABSTRACT
The present study deals with MHD (magneto hydrodynamics) mixed convection flow of a Casson fluid over an exponentially stretching sheet with the effects of Soret and Dufour, thermal radiation, chemical reaction. The governing partial differential equations are converted into ordinary differential equations by using similarity transformations. These equations are then solved numerically by applying finite difference scheme known as the Keller Box method. The effects of various parameters on velocity, temperature and concentration profiles are presented graphically to interpret and the results are discussed.

Cite this paper
Sharada, K. and Shankar, B. (2015) MHD Mixed Convection Flow of a Casson Fluid over an Exponentially Stretching Surface with the Effects of Soret, Dufour, Thermal Radiation and Chemical Reaction. World Journal of Mechanics, 5, 165-177. doi: 10.4236/wjm.2015.59017.
References
[1]   Garnier, M. (1962) Magneto Hydrodynamics in Materials Processing. Philosophical Transactions of the Royal Society A, 344, 249-263.
http://dx.doi.org/10.1098/rsta.1993.0090

[2]   Sakiadas, B.C. (1961) Boundary-Layer Behavior on Continuous Solid Surfaces. AIChE Journal, 7, 26-28.
http://dx.doi.org/10.1002/aic.690070108

[3]   Crane, L.J. (1970) Flow Past a Stretching Plate. Zeitschrift für Angewandte Mathematik und Physik, 21, 590-595.
http://dx.doi.org/10.1007/BF01587695

[4]   Magyari, E. and Keller, B. (1999) Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface. Journal of Physics D, 32, 577-585.
http://dx.doi.org/10.1088/0022-3727/32/5/012

[5]   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.

[6]   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

[7]   Merrill, F.W. (1965) Rheology of Human Blood and Some Speculations on Its Role in Vascular Homeostatics Biomechanical Mechanisms in Vascular Homeostatics and Intravascular Thrombosis. In: Sawyer, P.N., Ed., Appleton Century Crofts, New York, 127-137.

[8]   MacDonald, D.A. (1979) On Study Flow through Modelled Vascular Stenoses. Journal of Biomechanics, 12, 13-20.
http://dx.doi.org/10.1016/0021-9290(79)90004-6

[9]   Nadeem, S., Haq, R.U. and Lee, C. (2012) MHD Flow of a Casson Fluid over an Exponentially Shrinking Sheet. Scientia Iranica, 19, 1550-1553.
http://dx.doi.org/10.1016/j.scient.2012.10.021

[10]   Mukhopadhyay, S., De Ranjan, P., Bhattacharyya, K. and Layek, G.C. (2013) Casson Fluid Flow over an Unsteady Stretching Surface. Ain Shams Engineering Journal, 4, 933-938.

[11]   McGregor, J.L. (1970) The Application of the Minimal Energy Hypothesis to a Casson Fluid. Bulletin of Mathematical Bio Physics, 32, 249-262.
http://dx.doi.org/10.1007/BF02476889

[12]   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

[13]   Pal, D. (2010) Mixed Convection Heat Transfer in the Boundary Layers on an Exponentially Stretching Surface with Magnetic Field. Applied Mathematics and Computation, 217, 2356-2369.
http://dx.doi.org/10.1016/j.amc.2010.07.035

[14]   Kafoussias, N.G. and Williams, E.M. (1995) Thermal-Diffusion and Diffusion-Thermo Effects on Mixed Free-Forced Convective and Mass Transfer Boundary Layer Flow with Temperature Dependent Viscosity. International Journal of Engineering Science, 33, 1369-1384.

[15]   Dursunkaya, Z. and Worek, Z.W. (1992) Diffusion Thermo and Thermal Diffusion Effects in Transient and Steady Natural Convection from a Vertical Surface. International Journal of Heat and Mass Transfer, 35, 2060-2065.
http://dx.doi.org/10.1016/0017-9310(92)90208-A

[16]   Afify, A.A. (2009) Similarity Solution in MHD Effects of Thermal Diffusion and Diffusion-Thermo on Free Convective Heat and Mass Transfer over a Stretching Surface Considering Suction or Injection. Communication in Non-Linear Science and Numerical Simulation, 14, 2202-2214.

[17]   Hayat, T., Shehzad, S.A. and Alsaed, A. (2012) Soret and Dufour Effects on MHD Flow of Casson Fluid. Applied Mathematics and Mechanics, 33, 1301-1312.
http://dx.doi.org/10.1007/s10483-012-1623-6

[18]   Alam, M.S. and Rahman, M.M. (2006) Dufour and Soret Effects on Mixed Convection Flow Past a Vertical Porous Flat Plate with Variable Suction. Nonlinear Analysis, Modeling and Control, 11, 3-12.

[19]   Pramanik, S. (2014) Casson Fluid Flow and Heat Transfer Past an Exponentially Porous Stretching Surface in the Presence of Thermal Radiation. Ain Shams Engineering Journal, 5, 205-212.
http://dx.doi.org/10.1016/j.asej.2013.05.003

[20]   Shateyi, S. and Marewo, G.T. (2014) Numerical Analysis of MHD Stagnation Point Flow of Casson Fluid, Heat and Mass Transfer over a Stretching Sheet. Proceedings of the 7th International Conference on Finite Differences, Finite Elements, Finite Volumes, Boundary Elements, Gdansk, 15-17 May 2014, 128-132.

[21]   Ishak, A. (2011) MHD Boundary Layer Flow Due to an Exponentially Stretching Sheet with Radiation Effect. Sains Malaysiana, 40, 391-395.

[22]   Mukhopadhyay, S. (2013) Effects of Thermal Radiation on Casson Fluid Flow and Heat Transfer over an Unsteady Stretching Surface Subjected to Suction/Blowing, Chinese Physics B, 22, Article ID: 114702.
http://dx.doi.org/10.1088/1674-1056/22/11/114702

[23]   Shehzad, S.A. and Hayat, T. (2013) Effects of Mass Transfer on MHD Flow of Casson Fluid with Chemical Reaction. Brazilian Journal of chemical Engineering, 30, 187-195.
http://dx.doi.org/10.1590/S0104-66322013000100020

[24]   Cebeci, T. and Bradshaw, P. (1984) Physical and Computational Aspects of Convective Heat Transfer. Springer, Berlin Heidelberg.
http://dx.doi.org/10.1007/978-3-662-02411-9

 
 
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