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An unsteady, two dimensional, free convection flow with heat and mass transfer of a viscous, incompressible, electrically conducting fluid past an infinite vertical porous plate of time dependent permeability with oscillatory suction velocity and chemical reaction in the presence of Hall current effect and Soret effect is investigated. A uniform magnetic field is applied normal to the direction of flow. The dimensionless governing equations are solved using perturbation technique in Eckert number. Numerical evaluation of the analytical solutions is carried out for the velocity field, temperature distribution and concentration distribution. The results obtained are discussed for various emerging parameters such as Prandtl number (Pr), Grashof number (Gr), Modified Grashof number (Gm), Soret number (Sr), Schmidt number (Sc), Sink strength parameter (S), Eckert number (Ec), and Hall parameter (m) encountered in the problem under investigation.
oscillatory suction velocity, uniform magnetic field, Eckert number, hall effect, Soret effect
[1] Alam MM, Sattar MA. (2000). Unsteady MHD free convection and mass transfer flow in a rotating system with Hall current, viscous dissipation and Joule heating. J. Energy Heat Mass Transf. 22: 31-39.
[2] Barik RN, Dash GC, Kar M. (2014). Unsteady free convective MHD flow and mass transfer through porous medium in a rotating system with fluctuating heat source/sink and chemical reaction. J. Appl. Analys. Comput. 4(3): 231-244.
[3] Bejan A, Khair KR. (1985). Mass transfer to natural convection boundary layer flow driven by heat transfer. Journal of Heat Transfer 107(4): 979-981.
[4] Chamkha AJ, Khaled ARA. (2001). Similarity solutions for hydro magnetic simultaneous Heat and Mass Transfer by natural convection from an inclined plate with heat generation or absorption. Heat Mass Transfer 37: 117-123.
[5] Elbashbeshy EMA. (1997). Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of magnetic field. International Journal of Engineering Science 34(5): 515-522.
[6] Yang GM, Ma DL, Liu L, Rong J, Yu XH. (2017). Thermal diffusion bonding of pure titanium to 304 stainless steel using aluminum interlayer. Chemical Engineering Transactions 59. https://doi.org/10.3303/CET1759175
[7] Ibrahim FS, Elaiw AM, Bakr AA. (2008). Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction. Comm. Nonlinear Sci. Numer. Simulat. 13(6): 1056-1066.
[8] Jashim Uddin Md, Fazlul Hoque AKM. (2018). Convective heat transfer flow of nanofluid in an isosceles triangular shaped enclosure with an uneven bottom wall. Chemical Engineering Transactions 66: 403-408. https://doi.org/10.3303/CET1866068
[9] Jha BK, Singh AK. (1970). Soret effects on free-convection and mass transfer flow in the Stokes problem for an infinite vertical plate. Astrophys. Space Sci. 173(2): 251-255.
[10] Kafoussias NG. (1992). MHD thermal-diffusion effects on free-convective and mass-transfer flow over an infinite vertical moving plate. Astrophys. Space Sci. 192(1): 11-19
[11] Lai FC, Kulachi FA. (1990). The effects of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium. Int. J. Heat and Mass Transfer 33: 1028-1031.
[12] Mohamed RA, Abo-Dahab SM. (2009). Influence of chemical reaction and thermal radiation on the heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium with heat generation. Int. J. Thermal Sci. 48(9): 1800-1813.
[13] Osman ANA, Abo-Dahab SM, Mohamed RA. (2011). Analytical solution of thermal radiation and chemical reaction effects on unsteady MHD convection through porous media with heat source/sink. Math Prob. Eng. 1-18. https://doi.org/10.1155/2011/205181
[14] Pal D, Talukdar B. (2011). Combined effects of Joule heating and chemical reaction on unsteady Magnetohydrodynamic mixed convection of a viscous dissipating fluid over a vertical plate in porous media with thermal radiation. Math. Comput Modell. 54: 3016-3036.
[15] Seth GS, Sarkar S, Hussain SM. (2014). Effects of Hall current, radiation and rotation on natural convection heat and mass transfer flow past a moving vertical plate. Ain Shams Eng. J. 5(2): 489-503.
[16] Singh KD, Kumar R. (2010). Effects of chemical reactions on unsteady MHD free convection and mass transfer for flow past a hot vertical porous plate with heat generation/absorption through porous medium. Ind. J. Phys. 84(1): 93-106.
[17] Soundalgekar VM. (1972). Unsteady MHD free convection flow past an infinite vertical flat plate with variable suction. Indian J. Pure Appl. Math. 3: 426-436.
[18] Soundalgekar VM. (1979). Effects of Mass Transfer and free convection on the flow past an impulsively started vertical plate. ASME J. of Appl. Mechanics 46: 757-760.
[19] Soundalgekar VM, Vighnesam NV, Takhar HS. (1979). Hall and Ion – Slip effects in MHD Couette flow with heat transfer. IEEE Trans Plasma Sci. 7: 178-182.