MHD Mixed Convection Flow over a Permeable Vertical Plate with Buoyancy and Soret Effects
Published 2012-07-15
Keywords
- Heat and mass transfer,
- MHD,
- mixed convection,
- buoyancy,
- Soret effect
Abstract
This study examines the problem of steady, MHD, mixed convection flow of an incompressible viscous fluid past a semi-infinite vertical permeable plate with slip condition at the boundary layer. The flow field is exposed to the influence of buoyancy, Ohmic heating and Soret effects. The governing equations include the continuity, linear momentum, energy and mass transfer equations which are solved analytically by using perturbation method. The results of this parametric study on the velocity, temperature and concentration distributions are shown graphically and the physical aspects of the problem are highlighted and discussed. The effect of shear stress, rate of heat and mass transfer coefficients at the channel walls are displayed in tables.
References
- A Barletta, S Lazzari, E Magyari and I Pop, Mixed convection with heating effects in a vertical porous annulus with a radially varying magnetic field, Int. J. Heat and Mass Transfer, vol. 51, pp. 5777–5784, 2008.
- A A Afify, 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, Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 2202–2214, 2009.
- K A Yih, The effect of transpiration on coupled heat and mass transfer in mixed convection over a vertical plate embedded in a saturated porous medium, Int. Communications in Heat and Mass Transfer, vol. 24, pp. 265–275, 1997.
- A Barletle, Combined forced and free convection with viscous dissipation in a vertical duct, Int. J. Heat and Mass Transfer, vol. 42, pp. 2243-2253, 1999.
- K E Chin, R Nazar, N M Arifin and I Pop, Effect of variable viscosity on mixed convection boundary layer flow over a vertical surface embedded in a porous medium, Int. Communications in Heat and Mass Transfer, vol. 34, pp. 464–473, 2007.
- S S Motsa, The effects of thermal radiation, hall currents, soret, and dufour on MHD flow by mixed convection over a vertical surface in porous media, SAMSA J. Pure and Applied Mathematics, vol. 3, pp. 58–65, 2008.
- D Pal and B Talukdar, Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction, Commun. Nonlinear Science and Numerical Simulation, vol. 15, pp. 1813–1830, 2010.
- N G Kafoussias and E W Williams, Thermal-diffusion and diffusion-thermo effects on mixed free forced convective and mass transfer boundary layer flow with temperature dependent viscosity, Int. J. Engineering Science, vol. 33, pp. 1369–1384, 1995.
- M Angel, H S Takhar and I Pop, Dofour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium, Studia universities- Bolyai, Mathematica, vol. 45, pp. 11-21, 2000.
- M S Alam and M M Rahman, Dufour and Soret effects on mixed convection flow past a vertical porous flat plate with variable suction, Nonlinear Analysis: Modelling and Control, vol. 11, pp. 3–12, 2006.
- R A Abreu, M F Alfradique and A S Telles, Boundary layer flows with Dufour and Soret effects: I: Forced and natural convection, Chemical Engineering Science, vol. 61, pp. 4282–4289, 2006.
- S N Gaikwad, M S Malashetty and K Rama-Prasad, An analytical study of linear and non-linear double diffusive convection with Soret and Dufour effects in couple stress fluid, Int. J. Non-Linear Mechanics, vol. 42, pp. 903–913, 2007.
- S El-Alimi, J Orfi and S Ben Nasrallah, Buoyancy effects on mixed convection heat and mass transfer in a duct with sudden expansions, Heat Mass Transfer, vol. 41, pp. 559–567, 2005.
- S Shateyi, Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing, J. Applied Mathematics, Article ID 414830, 2008.
- A S Elzubier, S Y C Thomas, S Y Sergie, N L Chin and O M Ibrahim, The effect of buoyancy force in computational fluid dynamics simulation of a two-dimensional continuous ohmic heating process, American Journal of Applied Sciences, vol. 6, pp. 1902-1908, 2009.
- E M Abo-Eldahab and M Abd El-Aziz, Hall current and Ohmic heating effects on mixed convection boundary layer flow of a micropolar fluid from a rotating cone with power-law variation in surface temperature, Int. Communications Heat Mass Transfer, vol. 31, pp. 751–62, 2004.
- J S Osalusi and R Harris, Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer of a steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating, Int. Communications in Heat and Mass Transfer, vol. 35, pp. 908–915, 2008.
- D Pal and B Talukdar, Buoyancy and chemical reaction effects on MHD mixed convection heat and mass transfer in a porous medium with thermal radiation and Ohmic heating, Communications in Nonlinear Science and Numerical Simulation, vol. 15, pp. 2878–2893, 2010.