Soret and chemical reaction effects on a three-dimensional MHD convective flow of dissipative fluid along an infinite vertical porous plate

Prakash, J.; Balamurugan, K. S.; Vijaya Kumar Varma, S.

doi:10.22061/jcarme.2014.70

Document Type : Research Paper

Authors

¹ Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana

² Department of Mathematics, R V R & J C College of Engineering, Guntur, A. P., India

³ Department of Mathematics, Sri Venkateswara University, Tirupati – 517502, A. P., India

https://doi.org/10.22061/jcarme.2014.70

Abstract

An analytical study was performed to study effects of thermo-diffusion and chemical reactions on a three-dimensional MHD mixed convective flow of dissipative fluid along an infinite vertical porous plate with transverse sinusoidal suction velocity. The parabolic partial differential equations governing the fluid flow, heat transfer, and mass transfer were solved using perturbation technique and the expressions for velocity, temperature, and concentration distributions were obtained. Expressions for skin friction at the plate in the direction of the main flow, rate of heat transfer, and mass transfer from the plate to the fluid were derived in a non-dimensional form. Velocity, temperature, concentration, amplitudes of the perturbed parts of skin friction, rate of heat transfer, rate of mass transfer, and skin friction at the plate are presented in graphs and effects of various physical parameters like Hartmann number M, Prandtl number Pr, Reynolds number Re, Schmidt number Sc, Soret number So, Grashof number for heat transfer Gr, Grashof number for mass transfer Gm, and chemical reaction parameter Kr on the above flow quantities were analyzed and then the obtained results were physically interpreted.

Keywords

20.1001.1.22287922.2014.4.1.2.5

Main Subjects

Heat and Mass Transfer

References

[1] V. C. A. Ferraro and C. Plumpton, “An Introduction to Magneto Fluid Mechanics”, Oxford, Clarendon Press, pp. 254-304, (1966).

[2] K. R. Cramer and S. I. Pai, “Magneto Fluid Dynamics for Engineers and Applied Physicists”, McGraw-Hill Book Company, New York, p. 205, (1973).

[3] D. C. Sanyal and S. Bhattacharya, “Similarity solutions of an unsteady incompressible thermal MHD boundary layer flow by group theoretic approach”, International Journal of Engineering Science, Vol. 30, No. 5, pp. 561-569, (1992).

[4] D. Nikodijevic, Z. Boricic, D. Milenkovic and Z. Stamenkovic, “Generalized similarity method in unsteady two dimensional MHD boundary layer on the body which temperature varies with time”, International Journal of Engineering Science and Technology, Vol. 1, No. 1, pp. 206-215, (2009).

[5] A. Raptis and N. Kafoussias, “Magneto hydrodynamic free
convective flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant heat flux”, Canadian Journal of Physics, Vol. 60, No. 12, pp. 1725-1729, (1982).

[6] A. Bejan and K. R. Khair, “Mass transfer to natural convection boundary layer flow driven by heat transfer”, ASME, Journal of Heat Transfer, Vol. 107, pp. 979-981, (1985).

[7] N. P. Singh and A. K. Singh, “MHD effects on heat and mass transfer in flow of a viscous fluid with induced magnetic field”, Indian Journal of Pure Applied Physics, Vol. 38, No. 3, pp. 182-189, (2000).

[8] M. Acharya, G. C. Dash and L. P. Singh, “Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux”, Indian Journal of Pure and Applied Mathematics, Vol. 31, No. 1, pp. 1-18, (2000).

[9] D. C. Babu and D. R. V. Prasad Rao, “Free convective flow of heat and mass transfer past a vertical porous Plate”, Acta Cienica Indica, Vol. 32M, No. 2, pp. 673-684, (2006).

[10] N. P. Singh, A. K. Singh and K. Ajay, “MHD free convection MHD mass transfer flow past a flat plate”, The Arabian Journal for Science and Engineering, Vol. 32, No. 1A, pp. 93-112, (2007).

[11] G. V. Lachman, “Boundary layers and flow control, its principles and applications”, Vol. I, and Vol. II, Pergamon Press, (1961).

[12] P. Singh, V. P. Sharma and U. N. Misra, “Three dimensional free convection flow and heat transfer along a porous vertical plate”, Applied Scientific Research, Vol. 34, No. 1, pp. 105-115, (1978).

[13] N. Ahmed and D. Sharma, “Three dimensional free convective flow and heat transfer through a porous medium”, Indian Journal of Pure and Applied Mathematics, Vol. 28, No. 10, pp. 1345-1353, (1997).

[14] G. D. Gupta and R. Johari, “MHD three dimensional flow past a porous plate”, Indian Journal of Pure and Applied Mathematics, Vol. 32, No. 3, pp. 377-386, (2001).

[15] K. D. Singh and R. Sharma, “Three dimensional Couette flow through a porous medium with heat transfer”, Indian Journal of Pure and Applied Mathematics, Vol. 32, No. 12, pp. 1819-1829, (2001).

[16] N. Ahmed, D. Sharma and D. P. Barua, “Three dimensional free convective flow and mass transfer along a porous vertical plate”, Bulletin of the Allahabad Mathematical Society, Vol. 21, pp. 125-141, (2006).

[17] E. R. Eckert and R. M. Drake, “Analysis of heat and mass transfer”, Mc-Graw Hill, New York, (1971).

[18] 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”, International Journal of Engineering Science, Vol. 33, No. 9, 1369-1384, (1995).

[19] Postelnicu, “Influence of magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects”, International Journal of Heat and Mass Transfer, Vol. 47, pp. 1467-1472, (2004).

[20] L. Seungsoo, S. George and Dulikravich, “Magneto hydrodynamic steady flow computations in three dimensions”, International Journal for Numerical Methods in Fluids, Vol. 13, No. 7, pp. 917-936, (1991).

[21] U. N. Das, R. K. Deka and V. M. Soundelgekar, “Effects of mass transfer on flow past an impulsively started infinite vertical plate with chemical reaction”, The Bulletin of GUMA, Vol. 5, pp. 13-20, (1999).

[22] R. Muthucumaraswamy, J. Maheswari and J. Pandurangan, “Unsteady MHD flow past an impulsively started semi-infinite vertical plate in the presence of chemical reaction”, International Review of Pure and Applied Mathematics, Vol. 4, No. 1, pp. 119-133, (2008).

[23] M. S. Alam, M. Ferdows, M. Ota and M. A. Maleque, “ Dufour and soret effects on steady free convection and mass transfer flow past a semi-infinite vertical porous plate in a porous medium”, International Journal of Applied Mechanics and Engineering, Vol. 11, No.3, pp. 535-545, (2006).

[24] S.P. Anjali Devi and J. Wilfred Samuel Raj, “Thermodiffusion 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”, International Journal of Applied Mathematics and Mechanics, Vol. 7, No. 21, pp. 20-51, (2011).

[25] N. Ahmed, “Magnetic field effect on a three-dimensional mixed convective flow with mass transfer along an infinite vertical porous plate”, International Journal of Engineering, Science and Technology, Vol. 2, No. 2, pp. 117-135, (2010).

[26] H. Schlichting, “Boundary Layer Theory”, Mc Graw-Hill Book Company, New York.

Name *

Email Address *

Affiliation *

Comments *

Security Code *

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Soret and chemical reaction effects on a three-dimensional MHD convective flow of dissipative fluid along an infinite vertical porous plate

References

References

Send comment about this article

Volume 4, Issue 1 - Serial Number 1
December 2014
Pages 19-42

Soret and chemical reaction effects on a three-dimensional MHD convective flow of dissipative fluid along an infinite vertical porous plate

References

References

Send comment about this article

Volume 4, Issue 1 - Serial Number 1December 2014Pages 19-42

Volume 4, Issue 1 - Serial Number 1
December 2014
Pages 19-42