Effect of Variable permeability, concentration and viscous dissipation with Chemical reaction and Oscillating temperature on Unsteady MHD Walter’s-B viscoelastic dusty fluid past over inclined porous

Nidhi Pandya¹ , Mohammad Suleman Quraishi²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.33-43, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.3343

Online published on Aug 31, 2018

Copyright © Nidhi Pandya, Mohammad Suleman Quraishi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

603 Views    370 Downloads    200 Downloads

Abstract :
In this paper we have investigated the effects of radiation, chemical reaction, viscous dissipation and variable permeability for an unsteady MHD (Magnetohydrodynamic) Walter’s-B viscoelastic dusty flow of an incompressible viscous and electrically conducting dusty fluid past a continuously moving inclined porous plate with mass transfer and oscillating temperature. The Governing partial differential equations of fluid profiles are solved numerically by Crank-Nicolson method and results are discussed with graphs.

Key-Words / Index Term :
MHD, Chemical reaction, thermal radiation, porous medium, Heat and mass transfer, Crank-Nicolson Method

References :
[1] S. N. Bastia, R.S. Rath, “Steady flow and heat transfer in a viscoelastic fluid between two coaxial rotating disk”, Proc. Mathematical Sciences. Vol.87, Issue9, pp.227–236, 1978.
[2] A. A. Raptis, H. S. Takhar, “Heat transfer fromflow of an elastico-viscous fluid”, Int Comm. Heat and Mass Transfer, Vol.16, Issue.2, pp.193–197, 1989.
[3] R. C. Chaudhary, P. Jain, “Hall effect on MHD mixed convection flow of a viscoelastic fluid past an infinite vertical porous plate with mass transfer and radiation”, Theoretical and Applied Mechanics, Vol.33, Issue.4, pp.281–309, 2006.
[4] K. Rajgopal, P. H. Veena, V. K. Pravin, “Non similar solutions for heat and mass transfer flow in an electrically conducting viscoelastic fluid over a stretching sheet saturated in a porous medium with suction/blowing”, J. Porous Media, Vol.11, Issue.2, pp.219–230, 2008.
[5] S. Dholey, A. S. Gupta, T. R. Mahapatra, “Momentum and heat transfer in the magnetohydrodynamic stagnation point flow of a viscoelastic fluid towards a stretching surface”, Mechanica. Vol.42, Issue.3, pp.263–272, 2007.
[6] P. Ganesan, V. M. Soundalgekar, “Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate”, Int. J. of Engng. Sciences. Vol.19, Issue.6, pp.757–770, 1981.
[7] N. Pandya, A. K. Shukla, “Soret-Dufour and radiation effects on unsteady MHD flow past an impulsively started inclined porous plate with variable temperature and mass diffusion, Int. J. of Math. and Sci. Comp. Vol.3, Issue.2, pp.41–48, 2013.
[8] N. Pandya, A. K. Shukla, “Soret-Dufour and radiation effects on unsteady MHD flow over an inclined porous plate embedded in porous medium with viscous dissipation”, Int. J. Adv. Appl. Math. And Mech. Vol.2, Issue1, pp.107–119, 2014.
[9] U. R. Rao, V. R. Prasad, G. Vishwanath, B. Vasu “Radiation effects on unsteady free convection heat and mass transfer in a Walter’s-B viscoelastic flow past an impulsively started vertical plate”, Int. J. of Scientific & Engineering Research, Vol. 3, Issue.8, pp.1–9, 2012.
[10] N. Pandya and R. K. Yadav “Numerical Simulation of Soret-Dufour and Radiation effects on Unsteady MHD flow of Viscoelastic Dusty fluid over Inclined Porous Plate”, International Journal of Computer Sciences and Engineering, Vol. 6, Issue 6, pp. 898-908, 2018
[11] T. G. Cowling, “Magnetohydrodynamic”, Intersicence Publisher, New York, 1957.
[12] Brice Carnahan, H. A. Luthor, J. O. Wilkes, “Applied Numerical Methods”, John Wiley and Sons, New York, 1969.