Abstract
The chemical reaction effect on an unsteady magnetohydrodynamic (MHD) flow past a semi-infinite vertical porous plate with viscous dissipation is analyzed. The governing equations of motion, energy, and species are transformed into ordinary differential equations (ODEs) using the time dependent similarity parameter. The resultant ODEs are then solved numerically by a finite element method. The effects of various parameters on the velocity, temperature, and concentration profiles are presented graphically, and the values of the skin-friction, Nusselt number, and Sherwood number for various values of physical parameters are presented through tables.
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Chambre, P. L. and Young, J. D. On the diffusion of a chemically reactive species in a laminar boundary layer flow. The Physics of Fluids, 1(1), 48–54 (1958)
Dekha, R., Das, U. N., and Soundalgekar, V. M. Effects on mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forschungim Ingenieurwesen, 60(2), 284–309 (1994)
Muthecumaraswamy, R. Effects of a chemical reaction on a moving isothermal surface with suction. Acta Mechanica, 155, 65–72 (2002)
Muthucumaraswamy, R. and Meenakshisundaram, S. Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature. Theoretical Applied Mechanics, 33(3), 245–257 (2006)
Raptis, A., Massalas, A., and Tzivanidis, G. Hydromagnetic free convection flow through a porous medium between two parallel plates. Physics Letter, 90(A), 288–289 (1982)
Gribben, R. J. The magnetohydrodynamic boundary layer in the presence of a pressure gradient. Proceedings of the Royal Society of London, 287, 123–141 (1965)
Helmy, K. A. MHD unsteady free convection flow past a vertical porous plate. Zeitschrift für Angewandte Mathematik und Mechanik, 78, 255–270 (1998)
Gregantopoulos, G. A., Koullias, J., Goudas, C. L., and Courogenis, C. Free convection and mass transfer effects on the hydromagnetic oscillatory flow past an infinite vertical porous plate. Astrophysics and Space Science, 74, 357–389 (1981)
Hossain, M. A. and Takhar, H. S. Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Transfer, 31, 243–248 (1996)
Kim, Y. J. and Fedorov, A. G. Transient mixed radiative convection flow of a micro polar fluid past a moving semi-infinite vertical porous plate. International Journal of Heat and Mass Transfer, 46(9), 1751–1758 (2003)
Muthuraj, R. and Srinivas, S. Fully developed MHD flow of a micropolar and viscous fluid in a vertical porous space using HAM. International Journal of Applied Mathematics and Mechanics, 6(10), 79–97 (2010)
Seddeek, M. A. Finite-element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary-layer hydromagnetic flow with heat and mass transfer over a heat surface. Acta Mechanica, 177, 1–18 (2005)
Patil, P. M. and Kulkarni, P. S. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation. International Journal of Thermal Sciences, 48(4), 1043–1054 (2008)
Mohamad, M. Double diffusive convection-radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effect was studied. Applied Mathematical Sciences, 13, 629–651 (2009)
Ramachandra-Prasad, V. and Bhaskar-Reddy, N. Radiation effects on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium. Journal of Energy, Heat and Mass Transfer, 30, 57–68 (2008)
Satya-Narayana, P. V. and Venkataramana, S. Hall Current Effect on Magnetohydro Dynamics Free-Convection Flow Past a Semi-infinite Vertical Porous Plate with Mass Transfer, Ph. D. dissertation, Sri Venkateswara University, Tirupati (2007)
Sudheer-Babu, M. and Satya-Narayana, P. V. Effects of the chemical reaction and radiation absorption on free convection flow through porous medium with variable suction in the presence of uniform magnetic field. JP Journal of Heat and Mass Transfer, 3(3), 219–234 (2009)
Dulal, P., and Babulal, T. Perturbation analysis of unsteady magneto hydro dynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction. Communications in Nonlinear Science and Numerical Simulation, 15(6), 1813–1830 (2010)
Kim, Y. J. Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. International Journal of Engineering Science, 38(7), 833–845 (2000)
Kesavaiah, D. C., Satyanarayana, P. V., and Venkataramana, S. Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction. International Journal of Applied Mathematics and Mechanics, 7(1), 52–69 (2011)
Reddy, J. N. An Introduction to the Finite Element Method, McGraw-Hill, New York (1985)
Bathe, K. J. Finite Element Procedures, Prentice-Hall, New Jersey (1996) 1079–1090 (2011)
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Rao, J.A., Shivaiah, S. Chemical reaction effects on unsteady MHD flow past semi-infinite vertical porous plate with viscous dissipation. Appl. Math. Mech.-Engl. Ed. 32, 1065–1078 (2011). https://doi.org/10.1007/s10483-011-1481-6
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DOI: https://doi.org/10.1007/s10483-011-1481-6