SORET AND DUFOUR EFFECTS ON UNSTEADY MHD FREE CONVECTIVE FLOW OF MICROPOLAR FLUID WITH OSCILLATORY PLATE VELOCITY CONSIDERING VISCOUS DISSIPATION EFFECTS
DOI:
https://doi.org/10.11113/jt.v79.8359Keywords:
Soret effect, Dufour effect, viscous dissipation, chemical reaction, Micropolar fluidAbstract
The present paper deals with the study of micropolar fluid flow of an unsteady incompressible free convection heat and mass transfer flow past a semi-infinite vertical plate fixed firmly in porous medium with the influence of heat absorption, viscous dissipation, Soret, Dufour and chemical reaction has been analyzed. The governing partial differential equations are transformed into a set of coupled partial differential equations using suitable dimensionless quantities. The resulting non-dimensional boundary value problem is solved by the Galerkin finite element method. The effects of different pertinent parameters on translation velocity, microrotation, temperature and concentration distributions along boundary layer have been represented with the help of graphs. Under special case, comparison of the Skin friction, Wall couple stress, Nusselt number and Sherwood number are made with the Numerical results available from the literature obtained through analytical approach and found to be in good agreement. Â
References
Tsai, R. and J. Huang. 2009. Numerical Study of Soret and Dufour Effect on Heat and Mass Transfer from Natural Convection Flow Over a Vertical Porous Medium with Variable Wall Heat Fluxes. Computation Material Sci-ence. 47(1): 23-30.
Chamkha, A. and A. Ben-naki. 2008. MHD Mixed Con-vection-radiation Interaction along a Permeable Sur-face Immersed in Porous Medium in the Presence of So-ret and Dufour Effects. Heat Mass Transfer. 44: 845-856.
Olajuwon, B. and J. Oahimire. 2013. Unsteady Free Con-vection Heat and Mass Transfer in an MHD Micropolar Fluid in the Presence of Thermo Diffusion and Thermal Radiation. International Journal of Pure and Applied Mathematics. 84(2): 015-037.
Prabir Kumar, K., k. Das, and S. Jana. 2014. MHD Mi-cropolar Fluid Flow with Thermal Radiation and Thermal Diffusion in A Rotating Frame. Bulletin Malaysia Mathe-matical Sciences Society. 38: 1185-1205.
Eckert, E. and R. Drake. 1972. Analysis of Heat and Mass Transfer. New York: McGraw Hill Book co.
Bejan, A. 1994. Convection Heat Transfer. New Jersey: John Wiley.
Ingham, D. and I. Pop. 2005. Transport Phenomenon in Porous Media. Vol. III. New York: Elsevier.
Olanrewaju, P. and A. Adesanya, A. 2011. Effect of Ra-diation and Viscous Dissipation on Stagnation Flow of a Micropolar Fluid Towards a Vertical Permeable Surface. Australian Journal of Basic and Applied Sciences. 5: 2279-2289.
Chien-Hsin, Chen. 2004. Combined Heat and Mass Transfer in MHD Free Convection from a Vertical Surface with Ohmic Heating and Viscous Dissipation. Interna-tional Journal of Engineering Science. 42(7): 699-713.
Gebhart, B. 1962. Effect of Viscous Dissipation in Natural Convection. Journal of Fluid Mechanics. 14: 225-232.
Siva Reddy, S. and M. Shamshuddin. 2015. Heat and Mass Transfer on the MHD Flow of a Micropolar Fluid in the Presence of Viscous Dissipation and Chemical Reac-tion. International Conference on Computational Heat and Mass Transfer. Procedia Engineering. Elsevier. 127: 885-892.
Chamkha, A. 2004. Unsteady MHD Convective Heat and Mass Transfer Past a Semi-infinite Vertical Permeable Moving Plate With Heat Absorption. International Jour-nal of Engineering Science. 24: 217-230.
Rashidi, M. M., E. Momoniat, and B. Rostami. 2012. Ana-lytic Approximate Solutions for MHD Boundary-Layer Vis-coelastic Fluid Flow over Continuously Moving Stretch-ing Surface by Homotopy Analysis Method with Two Aux-iliary Parameters. J. of Applied Mathematics. Article ID 780415, 19 pages. doi:10.1155/2012/780415.
Bakr, A. 2011. Effects of Chemical Reaction on MHD Free Convection and Mass Transfer Flow of a Micropolar Fluid with Oscillatory Plate Velocity and Constant Heat Source in a Rotating Frame of Reference. Communica-tion Nonlinear Science Numerical Simulation. 16: 698-710.
Kamel, M. 2001. Unsteady MHD Convection Through Porous Medium with Combined Heat and Mass Transfer with Heat Source/Sink. Energy Conversion and Man-agement. 42: 393-405.
Rashidi, M. M., E. Erfani. 2012. Analytical Method for Solving Steady MHD Convective and Slip Flow due to a Rotating Disk with Viscous Dissipation and Ohmic Heat-ing. Engineering Computations. 29(6): 562-579.
Thirupathi T., O. Anwar Beg., and A. Kadir. 2017. Numeri-cal Study of Heat Source/Sink Effects on Dissipative Magnetic Nanofluid Flow from a Non-linear Inclined Stretching/Shrinking Sheet, J. of Mole. Liq., http://dx.doi.org/10.1016/j.molliq.2017.02.032.
Helmy, K. 1998. MHD Unsteady Free Convection Flow Past a Vertical Porous Plate. ZAMH. 98: 255-270.
Makinde, O. 2005. Free Convection Flow with Thermal Radiation and Mass Transfer Past a Moving Vertical Po-rous Plate. International Communications in Heat and Mass Transfer. 32(10): 1411-1414.
Sharma, R., R. Bhargava, and P. Bhargava. 2010. A Nu-merical Solution of Unsteady MHD Convection Heat and Mass Transfer Past a Semi-infinite Vertical Porous Plate Us-ing Element Free Galerkin Method. Computational Ma-terials Science. 48: 537-548.
Freidoonimehr, N., M. M. Rashidi, Md. Shohel. 2015. Un-steady MHD Free Convective Flow Past a Permeable Stretching Vertical Surface in a Nano-Fluid. International Journal of Thermal Sciences. 87: 136-145.
Dulal, P. and T. Babulal. 2012. Perturbation Technique for Unsteady MHD Mixed Convection Periodic Flow, Heat and Mass Transfer in Micropolar Fluid with Chemical Re-action in the Presence of Thermal Radiation. Central Eu-ropean Journal of Physics. 10(5): 1150-1167.
Abbasbandy, S., T. Hayat, A. Alsaedi, M. M. Rashidi, 2014. Numerical and Analytical Solutions for Falkner-Skan Flow of MHD Oldroyd-B Fluid. International Journal of Numerical Methods for Heat & Fluid Flow. 24(2): 390-401.
Das, K. 2011. Effect of Chemical Reaction and Thermal Radiation on Heat and Mass Transfer Flow of MHD Micro Polar Fluid in a Rotating Frame of Reference. Interna-tional Journal of Heat Mass Transfer. 54: 3505-3513.
Nandkeolyar, R., M. Das, and P. Sibanda. 2013. Unsteady Hydromagnetic Heat and Mass Transfer Flow of a Heat Radiating and Chemically Reactive Fluid Past a Flat Po-rous Plate with Ramped Wall Temperature. Mathemati-cal Problems in Engineering. Article ID 381806.
Seth, G., R. Sharma, and S. Hussain. 2014. Hall Effects on Unsteady MHD Natural Convection Flow of Heat Ab-sorbing Fluid Past an Accelerated Moving Vertical Plate with Ramped Temperature. Emirates Journal of Engineer-ing Research.19: 19-32.
Eringen, A. 1972. Theory of Micropolar Fluids. J. Math. Mech. 16: 1-18.
Eringen, A. 2001. Micro-continuum field theories II Fluent media. New York: Springer.
Ariman, T., M. Turk, and N. Sylvester. 1973. Micro-continuum fluid Mechanics-review. International Journal of Engineering Science. 11: 905-930.
Ariman, T., M. Turk, and N. Sylvester. 1974. Application of Micro-continuum Fluid Mechanics. International Journal of Engineering Science. 12: 273-293.
Lukaszewicz, G. 1999. Micropolar fluids-Theory and Ap-plications. Boston: Birkhauser.
Cowling, T. G. 1957. Magneto Hydrodynamics. Inter Science Publishers. New York.
Reddy, J. 1985. An Introduction to the Finite Element Method. New York: McGraw-Hill.
Siva Reddy, S. and T. Thirupathi. 2016. Numerical Study of Heat Transfer Enhancement in MHD Free Convection Flow Over Vertical Plate Utilizing Nanofluids. Ain Shams Engineering Journal. http://dx.doi.org/10.1016/j.asej.2016.06.015.
Siva Reddy, S. and T. Thirupathi. 2016. Heat and Mass Transfer Effects on Natural Convection Flow in the Pres-ence of Volume Fraction for Copper-Water Nanofluid. J. Nanofluids. 5(2): 220-230.
Siva Reddy, S. and T. Thirupathi. 2016. Double Diffusive Magnetohydrodynamic Free Convective Flow of Nanofluids Past an Inclined Porous Plate Employing Tiwari and Das Model: FEM. J. Nanofluids. 5(6): 802-816.
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