Effects of Thermal Diffusion and Chemical Reaction on MHD Flow of Dusty Visco-Elastic (Walter’s Liquid Model-B) Fluid


The present note consists, the effects of thermal diffusion and chemical reaction on MHD flow of dusty viscous incom-pressible, electrically conducting fluid between two vertical heated, porous, parallel plates with heat source/sink. The plate temperature is raised linearly with time and concentration level near the plate to Cw. The variable temperature and uniform mass diffusion taking into account the chemical reaction of first order. The series solution method is used to solve the mathematical equations. Effects of various parameters like chemical reaction (K), thermal diffusion (ST) and magnetic field (M) etc. on velocity profile, skin friction, concentration profile and temperature field are displayed graphically and discussed numerically for different physical parameters. The analysis developed here for thermal diffusion, bears good agreement with real life problems.

Share and Cite:

O. Prakash, D. Kumar and Y. Dwivedi, "Effects of Thermal Diffusion and Chemical Reaction on MHD Flow of Dusty Visco-Elastic (Walter’s Liquid Model-B) Fluid," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 10, 2010, pp. 581-587. doi: 10.4236/jemaa.2010.210075.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] P. L. Chambre and J. D. Young, “On Diffusion of a Chemically Reactive Species in a Laminar Boundary Layer Flow,” Physics of fluids, Vol. 1, 1958, pp. 40-54.
[2] P. G. Saffman, “On the Stability of Laminar Flow of a Dusty Gas,” Journal of fluid mechanics, Vol. 13, No. 1, 1962, pp. 120-129.
[3] D. H. Michael and P. W. Norey, “The Laminar Flow of a Dusty Gas between Rotating Cylinders,” The Quar- terly Journal of Mechanics and Applied Mathematics, Vol. 21, 1968, pp. 375-388.
[4] A. Raptis and C. P. Perdikis, “Oscillatory Flow through a Porous Medium by the Presence of Free Convective Flow,” International Journal of Engineering Science, Vol. 23, 1985, pp. 51-55.
[5] N. P. Singh, A. K. Singh, M. K. Yadav and A. K. Singh, Acta Ciencia Indica. Vol. XXVIII M, No. 1, 2002, pp. 089.
[6] I. U. Mbeledogu and A. Ogulu, “Heat and Mass Transfer of an Unsteady MHD Natural Convection Flow of a Ro-tating Fluid Past a Vertical Porous Flat Plate in the Pres-ence of Radiative Heat Transfer,” International Journal of Heat and Mass Transfer, Vol. 50, No. 9-10, 2007, pp. 1902-1908.
[7] P. M. Patil and P. S. Kulkarni, “Effects of Chemical Reaction on Free Convective Flow of a Polar Fluid through a Porous Medium in the Presence of Internal Heat Genera- tion,” International Journal of Thermal Sciences, Vol. 47, No. 8, 2008, pp. 1043-1054.
[8] E. Osalusi, J. Side and R. Harris, “Thermal Diffusion and Thermo Effect on Combined Heat and Mass Transfer of a Steady MHD Convective and Slip Flow due to a Rotating Disk with Viscous Dissipation and Ohmic Heating,” In-ternational Communications in Heat and Mass Transfer, Vol. 35, No. 8, 2008, pp. 908-915.
[9] A. A. Afify, “Similarity Solution in MHD: Effects of Thermal Diffusion and Diffusion Thermo on Free Con-vective Heat and Mass Transfer over a Stretching Surface Considering Suction or Injection,” Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, 2009, pp. 2202-2214.
[10] O. A. Bég, A. Y. Bakier and V. R. Prasad, “Numerical Study of Free Convection Magnetohydrodynamic Heat and Mass Transfer from a Stretching Surface to a Saturated Porous Medium with Soret and Dufour Effects,” Computational Materials Science, Vol. 46, No. 1, 2009, pp. 57-65.
[11] M. M. Nandeppanavar, M. S. Abel and J. Tawade, “Heat Transfer in a Walter’s Liquid B Fluid over an Impermeable Stretching Sheet with Non-Uniform Heat Source/ Sink and Elastic Deformation”, Communications in Non- linear Science and Numerical Simulation, Vol. 15, No. 7, 2010, pp. 1791-1802.
[12] R. Sharma, R. Bhargava and P. Bhargava, “A Numerical Solution of Steady MHD Convection Heat and Mass Tran- sfer on a Semi Infinite Vertical Porous Moving Plate Us-ing Element Free Galerkin Method.” Computational Ma-terials Science, Vol. 48, No. 3, 2010, pp. 537-543.
[13] D. Kumar and R. K. Srivastava, “Effects of Chemical Reaction on MHD Flow of Dusty Visco-Elastic (Walter’s Liquid model-B) Liquid with Heat Source/Sink,” Pro-ceeding of National Seminar on Mathematics and Com-puter Science, Meerut, 2005, pp. 105-112.
[14] I. Pop, Rev. Roum. Physics, Vol. 13, 1968, pp. 41.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.