Research ArticleOpen AccessGoogle Scholar indexed
MHD Mixed Convection Flow of a Casson Fluid over an Exponentially Stretching Surface with the Effects of Soret, Dufour, Thermal Radiation and Chemical Reaction
Department of Mathematics, Osmania University, Hyderabad, India
Department of Mathematics, Osmania University, Hyderabad, India
- 1 Department of Mathematics, Osmania University, Hyderabad, India
- 2 Department of Mathematics, Osmania University, Hyderabad, India
World Journal of Mechanics·Volume 05 (2015)·Pages 165–177·Published 29 September 2015·DOI10.4236/wjm.2015.59017
Copy link · social · email
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.
KeywordsCasson FluidMagneto HydrodynamicsMixed ConvectionExponentially Stretching SurfaceSoret and Dufour EffectsThermal RadiationChemical Reaction
- 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
- Sakiadas, B.C. (1961) Boundary-Layer Behavior on Continuous Solid Surfaces. AIChE Journal, 7, 26-28. http://dx.doi.org/10.1002/aic.690070108
- 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
- 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
- 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.
- 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
- 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.
- 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
- 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
- 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.
- 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
- 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
- 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