CHEMICAL REACTION EFFECT ON AN UNSTEADY MHD CONVECTIVE FLOW PAST AN INFINITE VERTICAL MOVING PLATE EMBEDDED IN A POROUS MEDIUM WITH HEAT SOURCE

Article Sidebar

PDF
Published: Jun 19, 2013

Main Article Content

Sarada -

Abstract

Numerical solutions for heat and mass transfer by laminar flow of a Newtonian, viscous, electrically conducting fluid on a continuously vertical permeable surface in the presence of a heat source, a first – order homogeneous chemical reaction and the mass flux are reported. The plate is assumed to move with a constant velocity in the direction of fluid flow. A uniform magnetic field acts perpendicular to the porous surface, which absorbs the fluid with a suction velocity varying with time. The dimensionless governing equations for this investigation are solved numerically by Finite difference method. Graphical results for velocity, temperature and concentration profiles of both phases based on the numerical solutions are presented and discussed.

Keywords: Chemical reaction, Unsteady, MHD, Heat and mass transfer, Vertical porous plate, Heat source, Finite difference method.

Downloads

Download data is not yet available.

Article Details

How to Cite
-, S. (2013). CHEMICAL REACTION EFFECT ON AN UNSTEADY MHD CONVECTIVE FLOW PAST AN INFINITE VERTICAL MOVING PLATE EMBEDDED IN A POROUS MEDIUM WITH HEAT SOURCE. Journal of Global Research in Mathematical Archives(JGRMA), 1(5), 63–81. Retrieved from https://jgrma.com/index.php/jgrma/article/view/66
Issue
Vol. 1 No. 5 (2013): May-2013
Section
Research Paper
Download Copyright

References

AbdurSattar, Md. and Kh. Abdul Maleque, 2005. The Effects of Variable properties and Hall current on steady MHD laminar convective fluid flow due to a porous rotating disk, Int. Journal of Heat and Mass Transfer, Vol. 48, pp. 4460 – 4466.

Anjali Devi, S. P. and J. Wilfred Samuel Raj,2011. Thermo diffusion effects on unsteady hydromagnetic free convection flow with heat and mass transfer past a moving vertical plate with time dependent suction and heat source in a slip flow regime,Int. J. of Appl. Math. and Mech., Vol. 7, No. 21, pp. 20 – 51.

Dulal Pal and BabulalTalukdar, 2010. Perturbation analysis of unsteady magnetohydro 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,pp.1813 – 1830.

Ibrahim, F. S., A. M. Elaiw and A. A. Bakr, 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, Communications Nonlinear Science Numerical Simulation, Vol. 13, No. 6, pp. 1056 – 1066.

Kesavaiah, D., Ch. P. V.Satyanarayana and S. Venkataramana, 2011. 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,Int. J. of Appl. Math. and Mech., Vol. 7, No. 1, pp. 52 – 69.

Loganathan, P., T, Kulandaivel and R. Muthucumaraswamy, 2008. First order chemical reaction on moving semi – infinite vertical plate in the presence of optically thin gray gas,Int. J. of Appl. Math. and Mech., Vol. 4, No. 5, pp. 26 – 41.

Mansour, M. A., N. F. El – Anssary and A. M. Aly, 2008. Effect of chemical reaction and viscous dissipation on MHD natural convection flows saturated in porous media with suction or injection, Int. J. of Appl. Math. and Mech., Vol. 4, No. 2, pp. 60 – 76.

Mohamad, 2009. 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, Vol. 13, pp. 629 – 651.

Muthucumaraswamy, R. and A. Vijayalakshmi, 2008. Effects of heat and mass transfer on flow past an Oscillating vertical plate with variable temperature, Int. J. of Appl. Math. and Mech., Vol. 4, No. 1, pp. 59 – 65.

Muthucumaraswamy, R. and S. Meenakshisundaram, 2006. Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature, Theoret. Appl. Mech., Vol. 33, No. 3, pp. 245 – 257.

Muthuraj, R. and S. Srinivas, 2010. Fully developed MHD flow of a micropolar and viscous fluid in a vertical porous space using HAM, Int. J. Appl. Mathematics and Mechanics, Vol. 6, No. 11, pp. 79 – 97.

Ogulu, A., A. R. C. Amakiri. andI. U. Mbeledogu, 2007. Unsteady MHD free convective flow of a compressible fluid past a moving vertical plate in the presence of radiative heat transfer, Int. Journal of Heat and Mass Transfer, Vol. 50, pp. 1668 – 1674.

Patil, P. M. and P. S. Kulkarni, 2008. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation, Int. J. Therm. Sci.,Vol. 4, pp. 1043 – 1054.

Ramachandra Prasad, V. and N. Bhaskar Reddy, 2008. 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, Journals of Energy Heat and mass transfer,Vol. 30, pp.57 – 68.

Ramana Reddy, G. V., Ch. V. Ramana Murthy and N. Bhaskar Reddy, 2010. Mass transfer and radiation effects of unsteady MHD free convective fluid flow embedded in porous medium with heat generation/absorption, Journal of Applied Mathematics and Fluid Mechanics, Vol. 2, No. 1, pp. 85 – 98.

Samad, Sk. A., G. C. Layek and S. Mukhopadhyaya, 2005. MHD boundary layer flow over a heated stretching sheet with variable Viscosity, Int. Journal of Heat and Mass Transfer, Vol. 48, pp. 4460 – 4466.

Sarada, K. and B. Shanker, 2013. The effect of chemical reaction on an unsteady MHD free convection flow past an infinite vertical porous plate with variable suction, International Journal of Engineering Modern Research(IJMER), Vol. 3, Issue. 2, pp. 725 – 735.

Satyanarayana, P. V. and S. Venkataramana, 2007. Hall current effect on magnetohydro dynamics freeconvection flow past a semi – infinite vertical porous plate with mass transfer. S.V.University, Ph.D thesis.

Seddeek, M. A., A. A. Darwish and M. S.Abdelmeguid, 2007. Effects of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media with radiation, Communications in Nonlinear Science and Numerical Simulation, Vol. 12, No. 2, pp. 195 – 213.

Seethamahalakshmi, G. V. Ramana Reddy and B. D. C. N. Prasad, 2011. Effects of the chemical reaction and radiation Absorption on an unsteady MHD convective heat and mass transfer flow past a semi – infinite vertical moving in a porous medium with heat source and suction, IOSR Journal of Engineering, Vol. 1, Issue. 1, pp. 028 – 036, DOI: 10.9790/3021 – 0112836.

Sharma, P. R. and G. Singh, 2008.Unsteady MHD free convective flow and heat transfer along a vertical porous plate with variable suction and internal heat generation,Int. J. of Appl. Math. and Mech., Vol. 4, No. 5, pp. 1 – 8.

SudheerBabu, M. and P. V. Satyanarayana, 2009. 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, J. P. Journal of Heat and mass transfer, Vol. 3, pp. 219 – 234.

Venkateswalu, S., K. V. SuryanarayanaRao and B. Rambupal Reddy, 2011. Finite difference analysis on convective heat transfer flow through a porous medium in a vertical channel with magnetic field,Int. J. of Appl. Math. and Mech., Vol. 7, No. 7, pp. 74 – 94.

Zueco, J., 2007. Network simulation method applied to radiation and viscous dissipationeffects on MHD unsteady free convection over vertical porous plate,Applied Mathematical Modelling, Vol. 31,No. 9, pp. 2019 – 2033.