Mixed Convection on MHD Flow with Thermal Radiation, Chemical Reaction and Viscous Dissipation Embedded in a Porous Medium
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Debreberhan University, College of Natural and Computational Science, Department of Mathematics, P.O. Box 445, Ethiopia
Online publication date: 2020-03-12
Publication date: 2020-03-01
International Journal of Applied Mechanics and Engineering 2020;25(1):219-235
In this paper, a theoretical analysis has been made to study the effect of mixed convection MHD oscillatory Couette flow in a vertical parallel channel walls embedded in a porous medium in the presence of thermal radiation, chemical reaction and viscous dissipation. The channel walls are subjected to a constant suction velocity and free stream velocity is oscillating with time. The channel walls are embedded vertically in a porous medium. A magnetic field of uniform strength is applied normal to the vertical channel walls. The nonlinear and coupled partial differential equations are solved using multi parameter perturbation techniques. The effects of physical parameters, viz., the radiation absorption parameter, Prandtl number, Eckert number, dynamic viscosity, kinematic viscosity, permeability of porous medium, suction velocity, Schmidt number and chemical reaction parameter on flow variables viz., temperature, concentration and velocity profile have been studied. MATLAB code is used to analyze theoretical facts. The important results show that an increment in the radiation absorption parameter and permeability of porous medium results in an increment of the temperature profile. Moreover, an increment in the Prandtl number, Eckert number and dynamic viscosity results in a decrement of the temperature profile. An increment in suction velocity results in a decrement of the velocity profile. An increment in the Schmidt number, chemical reaction parameter and kinematic viscosity results in a decrement of the concentration profile.
Vighnesam N.V. and Soundalgekar V.M. (1998): Combined free and force convection flow of water at 4 0 C from a vertical plate with variable temperature. – Int. J. of Engineering and Material Sciences, vol.5, pp.124-126.
Combarnous M.A. and Bia P. (1971): Combined free and forced convection in porous media. – Sot. Petrol. Engng JI vol.11, pp.399-405.
Sahoo P.K., Datta N. and Biswal S. (2003): MHD unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. – IJPAM, vol.34, pp.145-55.
Hossain M.A. and Takhar H.S. (1996): Radiative effects on mixed convection along a vertical plate with uniform surface temperature. – J. Heat and Mass Transfer, vol.31, No.4, pp.243-248.
Zigta B. and Koya P.R. (2017): The effect of MHD on free convection with periodic temperature and concentration in the presence of thermal radiation and chemical reaction. – International Journal of Applied Mechanics and Engineering, vol.22, No.4, pp.1059-1073. DOI: 10.1515/ijame-2017-0068.
Zigta B. (2018): The effect of thermal radiation, chemical reaction and viscous dissipation on MHD flow. – International Journal of Applied Mechanics and Engineering, vol.23, No.3, pp.787-801. DOI: 10.2478/ijame-2018-0043.
Chamkha A.J. (2002): On laminar hydromagnetic mixed convection flow in a vertical channel with symmetric and asymmetric wall heating conditions. – Int. J. Heat Mass Transfer, vol.45, pp.2509-2525.
Jha B.K. (2001): Natural convection in unsteady MHD Couette flow. Heat and Mass Transfer, vol.37, pp.329-331.
Olanrewaju P.O., Alao F.I. and Adeniyan A. (2013): Effects of thermal diffusion, diffusion thermo, magnetic field and viscous dissipation on unsteady mixed convection flow past a porous plate moving through a binary mixture of chemically reacting fluid. – Thermo Energy Power Eng, vol.2, pp.134–46.
Siddiqa S., Asghar S. and Hossain M.A. (2012): Radiation effect on mixed convection flow of viscous fluid having temperature dependent density along permeable vertical plate. – Journal of Engineering Physics and Thermo Physics, vol.85, No.2, pp.339-348. Doi: 10.1007/s10891-012-0658-1.
Salomatov V.V. and Puzyrev E.M. (1971): Influence of thermal radiation on the laminar boundary layer of a non-absorbing fluid. – Inzhenerno-Fizicheskii Zhurnal, vol.20, pp.1008-1014.
Bakier A.Y (2001): Thermal radiation effect on mixed convection from vertical surfaces in saturated porous media. – Int. Comm. Heat Mass Transf., vol.28, pp.119-126.
Hossain A. and Munir S. (2000): Mixed convection flow from a vertical flat plate with temperature dependent viscosity. – Int. J. Thermal Sci., vol.39, pp.173-183. DOI: 10.1016/81290-0729(00)00237-4.
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, vol.55, pp.744.
Turkyilmazoglu M. and Pop I. (2013): Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid. – International Journal of Heat and Mass Transfer, vol.57, No.1, pp.82-88.
Subhas Abel M. and Mahantesh M. Nandeppanavar (2009): Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink. – Communications in Nonlinear Science and Numerical Simulation, vol.14, No.5, pp.2120-2131.
Liancun Zheng, Lijuan Wang and Xinxin Zhang (2011): Analytic solutions of unsteady boundary flow and heat transfer on a permeable stretching sheet with non-uniform heat source/sink. – Communications in Nonlinear Science and Numerical Simulation, vol.16, No.2, pp.731-740.
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