Chemical Reaction Effects on MHD Convective Flow of a Couple-Stress Fluid Past a Porous Plate Embedded in a Porous Medium
Abstract
The present paper examines the heat and mass transfer characteristics of convective magnetohydrodynamic (MHD) flow of a couple-stress fluid past a vertical porous plate within a porous medium. The analysis incorporates time-dependent oscillatory suction and permeability, together with the effects of an internal heat source and a first-order chemical reaction. The governing nonlinear partial differential equations are formulated in dimensionless form and separated into steady and oscillatory components. The differential equations are solved numerically, and the variations in velocity, temperature, and concentration distributions are depicted graphically. Additionally, skin friction, the Nusselt number, and the Sherwood number are presented in tables. The study presents the influence of key parameters, including the chemical reaction rate, magnetic field strength, couple-stress parameter, oscillation amplitude of permeability, Prandtl number, Schmidt number, and heat source intensity, to analyse the fluid behaviour.
Keywords
Porous medium, Magnetohydrodynamic (MHD) flow, Couple-stress fluid, Oscillatory permeability
References
- A. J. Chamkha, Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption, Internat. J. Engrg. Sci., 42(2) (2004), 217–230.
- R. V. Prasad, B. N. Reddy, Radiation and mass transfer effects on an unsteady MHD free convection flow past a heated vertical plate in a porous medium with viscous dissipation, Theor. Appl. Mech., 34(2) (2007), 135–160. https://doi.org/10.2298/TAM0702135P
- S. S. Das, A. Satapathy, J. K. Das, et al., Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source, Int. J. Heat Mass Transf., 52(25-26) (2009), 5962–5969. https://doi.org/10.1016/j.ijheatmasstransfer.2009.04.038
- P. Ram, A. Kumar, H. Singh, The effect of chemical reaction and heat transfer on MHD flow of viscous fluid past a moving isothermal vertical porous plate with time-dependent suction, Int. J. Theor. Appl. Mech., 6(3) (2011), 241–254.
- J. G. Kumar, P. V. Satyanarayana, Mass transfer effect on MHD unsteady free convective Walter’s memory flow with constant suction and heat sink, Int. J. Appl. Math. Mech., 7(19) (2011), 97–109.
- J. A. Rao, S. Sivaiah, R. S. Raju, Chemical reaction effects on an unsteady MHD free convection fluid flow past a semi-infinite vertical plate embedded in a porous medium with heat absorption, J. Appl. Fluid Mech., 5(3) (2012), 63–72. https://doi.org/10.36884/jafm.5.03.19446
- S. Shivaiah, A. J. Rao, Chemical reaction effect on an unsteady MHD free convection flow past a vertical porous plate in the presence of suction or injection, Theor. Appl. Mech., 39(2) (2012), 185–208.
- K. Sarada, B. Shanker, The effect of chemical reaction on an unsteady MHD free convection flow past an infinite vertical porous plate with variable suction, Int. J. Mod. Eng. Res., 3(2) (2013), 725–735.
- S. R. Mishra, G. C. Dash, M. Acharya, Mass and heat transfer effect on MHD flow of a visco-elastic fluid through porous medium with oscillatory suction and heat source, Int. J. Heat Mass Transf., 57(2) (2013), 433–438. https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.053
- N. A. Khan, F. Riaz, F. Sultan, Effects of chemical reaction and magnetic field on a couple stress fluid over a non-linearly stretching sheet, Eur. Phys. J. Plus, 129(1) (2014), Article ID 18. https://doi.org/10.1140/epjp/i2014-14018-2
