The present investigation aims to study analytically the problem of free convective, unsteady MHD flow of a viscous, incompressible, and electrically conducting fluid past a semi-infinite vertical plate with uniform heat and mass transfer in presence of diffusion thermo effect. Exact solutions of the dimensionless governing partial differential equations are obtained by adopting the closed-form Laplace transformation technique. Expressions of field, temperature field, velocity field, plate concentration, plate temperature, Nusselt number, Sherwood number and skin friction are attained and the effects of various flow parameters on them are displayed graphically. The study reveals that Dufour effect accelerates both fluid temperature and plate temperature.

MHD, heat and mass transfer, free convection, Dufour effect.

Received: July 15, 2021; Accepted: August 28, 2021; Published: September 24, 2021

How to cite this article: Subhrajit Sarma, Nazibuddin Ahmed and Bijoy Krishna Taid, Diffusion thermo effect on unsteady MHD free convective flow past an impulsively started semi-infinite moving vertical plate with uniform heat and mass flux, JP Journal of Heat and Mass Transfer 24(1) (2021), 37-62. DOI: 10.17654/HM024010037

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] N. Ahmed, H. Kalita and D. P. Barua, Unsteady MHD free convective flow past a vertical porous plate immersed in a porous medium with Hall current, thermal diffusion and heat source, International Journal of Engineering, Science and Technology 2(6) (2010), 59-74.
[2] N. Ahmed, S. Sinha and S. Talukdar, Dufour effect on a transient MHD flow past a uniformly porous plate with heat sink, Advances and Applications in Fluid Mechanics 13(1) (2013), 1-24.
[3] H. Alfven, Discovery of Alfven waves, Nature 150 (1942), 405-406.
[4] R. Camargo, E. Luna and C. Trevino, Numerical study of the natural convective cooling of a vertical plate, Heat and Mass Transfer 32 (1996), 89-95.
[5] P. Chandrakala, Thermal radiation effects on moving infinite vertical plate with uniform heat flux, International Journal of Dynamics of Fluids 6(1) (2010), 49-55.
[6] T. G. Cowling, Magnetohydrodynamics, Wiley Interscience, New York, 1957.
[7] K. R. Crammer and S. I. Pai, Magneto Fluid Dynamics for Engineers and Applied Physicist, McGraw-Hill Book Co., New York, 1973.
[8] K. Das and S. Jana, Heat and mass transfer effects on unsteady MHD free convection flow near a moving vertical plate in porous medium, Bull. Soc. Math. Banja Luka 17 (2010), 15-32.
[9] E. R. G. Eckert and R. M. Drake, Analysis of Heat and Mass Transfer, McGraw-Hill Book Co., New York, 1972.
[10] H. Farrokhi, D. O. Otuya, A. Khimchenko and J. Dong, Magnetohydrodynamics in biomedical applications, Nanofluid Flow in Porous Media, IntechOpen, 2019.
[11] V. C. A. Ferraro and C. Plumpton, An Introduction to Magneto-fluid Mechanics, Clarendon Press, Oxford, 1966.
[12] N. J. Hazarika and S. Ahmed, Thermo-diffusive flow of chemically reacting fluid in a saturated porous medium for radiative heat flux, Journal of Scientific Research 13(2) (2021), 507-520.
[13] B. K. Jha and A. O. Ajibade, Diffusion-thermo effects on free convective heat and mass transfer flow in a vertical channel with symmetric boundary conditions, Journal of Heat Transfer 133(5) (2011), 1-8.
[14] 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, Internat. J. Engrg. Sci. 33(9) (1995), 1369-1384.
[15] A. K. Kolar and V. M. K. Sastri, Free convective transpiration over a vertical plate: a numerical study, Heat and Mass Transfer 23(6) (1988), 327-336.
[16] O. D. Makinde, Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate, International Communications in Heat and Mass Transfer 32(10) (2005), 1411-1419.
[17] O. G. Martynenko, A. Berezovsky and Y. A. Sokovishin, Laminar free convection from a vertical plate, International Journal of Heat and Mass Transfer 27(6) (1984), 869-881.
[18] I. U. Mbeledogu, A. R. C. Amakiri and A. Ogulu, Unsteady MHD free convection flow of a compressible fluid past a moving vertical plate in the presence of radiative heat transfer, International Journal of Heat and Mass Transfer 50(9-10) (2007), 326-331.
[19] A. Postelnicu, Influence of a magnetic field on heat and mass transfer by natural convection from vertical surface in porous media considering Soret and Dufour effects, International Journal of Heat and Mass Transfer 47(6-7) (2004), 1467-1472.
[20] V. R. Prasad, N. B. Reddy and R. Muthucumaraswamy, Radiation and mass transfer effects on two dimensional flow past an impulsively started infinite vertical plate, International J. Thermal Sciences 46(12) (2007), 1251-1258.
[21] G. Ramanaiah and G. Malarvizhi, Unified treatment of free convection adjacent to a vertical plate with three thermal boundary conditions, Heat and Mass Transfer 27(6) (1992), 393-396.
[22] S. Rashidi, J. A. Esfahani and M. Maskaniyan, Applications of magnetohydrodynamics in biological systems - a review on the numerical studies, Journal of Magnetism and Magnetic Materials 439 (2017), 358-372.
[23] M. A. Samad and M. M. Rahman, Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium, Journal of Naval Architecture and Marine Engineering 3(1) (2006), 7-14.
[24] J. A. Shercliff, A Text Book of Magnetohydrodynamics, Pergamon Press, London, 1965.
[25] D. Srinivasacharya, B. Mallikarjuna and R. Bhuvanavijaya, Soret and Dufour effects on mixed convection along a vertical wavy surface in a porous medium with variable properties, Ain Shams Engineering Journal 6(2) (2015), 553-564.
[26] I. Ullah, I. Khan and S. Shafie, Soret and Dufour effects on unsteady mixed convection slip flow of Casson fluid over a nonlinearly stretching sheet with convective boundary condition, Scientific Reports 7 (2017), 1-19.
[27] M. Vedhanayagam, R. A. Altenkirch and R. Eichhorn, A transformation of the boundary layer equations for free convection past a vertical flat plate with arbitrary blowing and wall temperature variations, International Journal of Heat and Mass Transfer 23(9) (1980), 1286-1288.