Abstract
This paper investigates the effect of chemical reaction and viscous dissipation on MHD mixed convective heat and mass transfer flow of a viscous, incompressible, electrically conducting second grade fluid past a semi-infinite stretching sheet in the presence of thermal diffusion and thermal radiation with Rosseland approximation. The governing boundary layer equations are written into a dimensionless form by similarity transformations. Numerical results for the dimensionless velocity, temperature, concentration profiles as well as for the skin friction coefficient, Nusselt number and Sherwood number are obtained and displayed through graphs and tables for pertinent parameters to show interesting aspects of the solution.
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References
B. C. Sakiadis, Boundary layer behavior on continuous solid surface: I Boundary layer on a continuous flat surface, American Institute of Chemical Engineers Journal, 7 (1961) 213–215.
L. J. Crane, Flow past a stretching sheet, Zeitschrift für angewandte Mathematik und Physik ZAMP, 21 (1970) 645–647.
K. Vajravelu and D. Rollins, Hydromagnetic flow of a second grade fluid over a stretching sheet, Applied Mathematics and Computation, 148 (2004) 783–791.
I-Chung. Liu, Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field, Internatioal Journal of Heat and Mass Transfer, 47 (2004) 4427–4437.
R. Cortell, Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field, Internatioal Journal of Heat and Mass Transfer, 49 (2006) 1851–1856.
T. Hayat, S. Saif and Z. Abbas, The influence of heat transfer in anMHD second grade fluid film over an unsteady stretching sheet, Physics Letters A, 372 (2008) 5037–5045.
M. S. Abel, M. M. Nandeppanavar and S. B. Malipatil, Heat transfer in a second grade fluid through a porous medium from a permeable stretching sheet with non-uniform heat source/sink, Internatioal Journal of Heat and Mass Transfer, 53 (2010) 1788–1795.
A. Malekzadeh1, A. Heydarinasab1 and B. Dabir, Magnetic field effect on fluid flow characteristics in a pipe for laminar flow, Journal of Mechanical Science and Technology, 25(2) (2011) 333–339.
A. Raptis and C. Perdikis, Viscoelastic flow by the presence of radiation, Journal of Applied Mathematics and Mechanics, 78 (1998) 277–279.
M. A. Seddeek and F. M. Aboeldahab, Radiation effects on unsteady MHD free convection with Hall current near an infinite vertical porous plate, International Journal of Mathematics and Mathematical Sciences, 26 (2001) 249–255.
T. Hayat, Z. Abbas, I. Pop and S. Asghar, Effects of radiation and magnetic field on the mixed convection stagnationpoint flow over a vertical stretching sheet in a porous medium, Internatioal Journal of Heat and Mass Transfer, 53 (2010) 466–474.
J. Zhu, L. Zheng and X. Zhang, Hydrodynamic plane and axisymmetric slip stagnation-point flow with thermal radiation and temperature jump, Journal of Mechanical Science and Technology, 25(7) (2011) 1837–1844.
B. I. Olajuwon, Convection heat and mass transfer in a hydromagnetic flow of a second grade fluid in the presence of thermal radiation and thermal diffusion, International Communications in Heat and Mass Transfer, 38 (2011) 377–382.
O. D. Makinde, Effect of variable viscosity on thermal boundary layer over a permeable flat plate with radiation and a convective surface boundary condition, Journal of Mechanical Science and Technology, 26(5) (2012) 1615–1622.
A. J. Chamkha, MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction, International Communications in Heat and Mass Transfer, 30 (2003) 413–422.
B. M. Mitrovic and D. V. Papavassiliou, Effects of a firstorder chemical reaction on turbulent mass transfer, Internatioal Journal of Heat and Mass Transfer, 47 (2004) 34–61.
R. Kandasamy, K. Periasamy and K. K. S. Prabhu, Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects, Internatioal Journal of Heat and Mass Transfer, 48 (2005) 4557–4561.
R. Cortell, Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelactic fluid over a porous stretching sheet, Chemical Engineering and Processing: Process Intensification, 46(10) (2007) 982–989.
P. M. Patil and P. S. Kulkarni, Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation, International Journal of Thermal Sciences, 47 (2008) 1043–1054.
M. A. Mansour, N. F. El-Anssary and A. M. Aly, Effect of chemical reaction and viscous dissipation on MHD natural convection flows saturated in porous medium with suction or injection, International Journal of Applied Mathematics and Mechanics, 4(2) (2008) 60–76.
M. E. M. Khedr, A. J. Chamkha and M. Bayomi, MHD flow of a micropolar fluid past a stretched permeable surface with heat generation or absorption, Nonlinear Analysis: Modelling and Control, 14 (2009) 27–40.
E. Magyari and A. J. Chamkha, Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface: The full analytical solution, International Journal of Thermal Sciences, 49 (2010) 1821–1828.
K. Das, Effect of chemical reaction and thermal radiation on heat and mass transfer flow of MHD micropolar fluid in a rotating frame of reference, Internatioal Journal of Heat and Mass Transfer, 54 (2011) 3505–3513.
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Recommended by Associate Editor Jun Sang Park
Kalidas Das has completed his Ph.D. in Fluid Mechanics (MHD) from the University of Kalyani in 1997. He is now in the position of Assistant Professor (senior) of Mathematics and Head, Dept. of Mathematics, Kalyani Government Engineering college, West Bengal, India. So far he had 65 research papers published in National and International journals to his credit in the fields of fluid mechanics (MHD, CFD and nanofluids) and bio-mechanics. Two students have completed their research work and two students are still being guided by him at the moment. He is the author and also co-author of many books on graduate (Hons.) and under graduate level.
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Das, K. Influence of chemical reaction and viscous dissipation on MHD mixed convection flow. J Mech Sci Technol 28, 1881–1885 (2014). https://doi.org/10.1007/s12206-014-0335-8
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DOI: https://doi.org/10.1007/s12206-014-0335-8