International Journal of Mathematics Trends and Technology
Volume 20 | Number 1 | Year 2015 | Article Id. IJMTT-V20P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V20P507
The present manuscript is extension of published work [18]. In which the Instability mechanism of Thermosolutal convection in a horizontal layer of viscoelastic Maxwell fluid through porous medium with internal linear heating is presented in this manuscript. The chemical reaction is taken into account in the mass transfer equation. Here the chemically reacting fluid flow is affected with temperature and concentration gradient. The Darcy model is introduce in the momentum equation. The onset as well as oscillatory instabilities of the viscolastic Maxwell fluid layer is discussed between free-free boundaries. The chemically reacting parameter is majorly targeted area during the flow study.
[1] Ajay Kumar Singh, Numerical solution of unsteady free convection flow of an incompressible micro-polar fluid past in infinite vertical plate with temperature gradient dependent heat source, Journal of Energy, Heat and Mass Transfer, 24, (2002), 185– 194.
[2] Ajay Kumar Singh, Effects of thermal diffusion on MHD free convection flow through a vertical channel, Journal of Energy, Heat and Mass Transfer, 27, (2005), 109 – 123.
[3] M. Acharya, L.P. Singh and G. C,Dash. Heat and mass transfer over an accelerating surface with heat source in presence of suction and injection, Int. J. Heat Mass Transfer, 37, (1999), 189 – 211.
[4] Atul Kumar Singh, Effects of mass transfer on free convection in MHD flow of a viscous fluid, Indian Journal of Pure and Applied Physics, 41 (2003), 262 – 274.
[5] R. Cortell, Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field, Int. J. Heat Mass Transfer, 49, (2006), 1851 – 1856.
[6] S.P. Anjalidevi and R. Kandasamy, Effect of a chemical reaction heat and mass transfer on MHD flow past a semi infinite plate, ZAMM, 80, (2000), 697- 701.
[7] M.A. Mansour, N.F. El-Anssary and A.M. Aly, 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, . (2008),
[8] S.Shivaiah , J. Anand Rao ,” Chemical reaction effect on an unsteady MHD free convection flow past a vertical porous plate in the presence of suction or injection”, Theoret. Appl. Mech., Vol.39, No.2, pp. 185–208, Belgrade 2012.
[9] B. R. Rout, S. K. Parida, S. Panda, “MHD Heat and Mass Transfer of Chemical Reaction Fluid Flow over a Moving Vertical Plate in Presence of Heat Source with Convective Surface Boundary Condition”, Hindawi Publishing Corporation, International Journal of Chemical Engineering ,Volume 2013
[10] D. Moalem, “Steady state heat transfer within porous medium with temperature dependent heat generation,” International Journal of Heat and Mass Transfer, vol. 19, no. 5, pp. 529–537, 1976.
[11] M. M. Rahman and M. A. Sattar, “Magnetohydrodynamic convective flow of a micropolar fluid past a continuously moving vertical porous plate in the presence of heat generation/ absorption,” Journal of Heat Transfer, vol. 128, no. 2, pp. 142–152, 2006.
[12] U. N. Das, R. Deka, and V. M. Soundalgekar, “Effects of mass transfer on flowpast an impulsively started infinite vertical plate with constant heat flux and chemical reaction,” Forschung im Ingenieurwesen/Engineering Research, vol. 60, no. 10, pp. 284– 287, 1994.
[13] S. P. Anjalidevi andR. Kandasamy, “Effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate,”Heat andMass Transfer, vol. 35,no. 6, pp. 465– 467, 1999.
[14] M. A. Seddeek, A. A. Darwish, and M. S. Abdelmeguid, “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, 2007.
[15] P. M. Patil and P. S. Kulkarni, “Effects of chemical reaction on free convective flowof a polar fluid through a porous mediumin the presence of internal heat generation,” International Journal of Thermal Sciences, vol. 47, no. 8, pp. 1043–1054, 2008.
[16] A. M. Salem and M. Abd El-Aziz, “Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption,” Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236–1254, 2008.
[17] J. Anand Rao, S. Sivaiah , R. Srinivasa Raju,” Chemical Reaction Effects on an Unsteady MHD Free Convection Fluid Flow past a Semi-Infinite Vertical Plate Embedded in a Porous Medium with Heat Absorption”, Journal of Applied Fluid Mechanics, Vol. 5, No. 3, pp. 63-70, 2012.
[18] Neetu Ram., Ashok Kumar., S.Kapoor., R.Bansal and P. Alam., Onset Instability of thermosolutal convective flow of viscoelastic Maxwell fluid through porous medium with linear heat source effect, vol 3, no3, pp. 493-499, 2015
Neetu Ram, Ashok Kumar, S.Kapoor, R.Bansal, V.Dabral, P.Alam, "Oscillatory Instability of Chemical Reacting Thermosolutal Convective Flow of Viscoelastic Maxwell Fluid Thorough Porous Medium With Linear Heat Source Effect," International Journal of Mathematics Trends and Technology (IJMTT), vol. 20, no. 1, pp. 55-61, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V20P507
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