Thermal Stratification and Chemical Reaction Effects on MHD Flow Through Oscillatory Vertical Plate in a Porous Medium with Temperature Variation and Exponential Mass Diffusion

Keywords: MHD flow, Chemical Reaction, Thermal Stratification, Porous Medium, Oscillatory Vertical Plate, Laplace Transform, Matlab


This research paper investigates the thermal stratification and chemical reaction effects on MHD Flow through oscillatory vertical plate in a porous medium with temperature variation and exponential mass diffusion. Through the application of the Laplace transform method, the paper derives analytical solutions that precisely depict the physical dynamics of the flow. The investigation utilizes sophisticated mathematical models to scrutinize the complex dynamics between Magnetohydrodynamics (MHD) and convective movements, considering a range of conditions involving temperature fluctuations and exponential rates of mass diffusion. A pivotal finding from this research is the detailed comparison between the outcomes of thermal stratification and those observed in environments lacking such stratification. It is observed that the implementation of stratification within the flow leads to a more rapid achievement of equilibrium or steady-state conditions.


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R. Siegel, ”Transient free convection from a vertical flat plate,” Transactions of the American Society of Mechanical Engineers, 80(2), 347-357 (1958).

E.R. Menold, and K.T. Yang, ”Asymptotic solutions for unsteady laminar free convection on a vertical plate,” Trans ASME: J. Appl. Mech., 29, 124-126 (1962).

J.A. Schetz, and R. Eichhorn, ”Unsteady natural convection in the vicinity of a doubly infinite vertical plate,” Trans ASME C: J. Heat Transfer, 84(4), 334-338 (1962).

U.N. Das, R.K. Deka, and V.M. Soundalgekar, ”Transient free convection flow past an infinite vertical plate with periodic temperature variation,” J. Heat Transfer, 121(4), 1091-1094 (1999).

J.S. Park, and J.M. Hyun, ”Technical Note Transient behavior of vertical buoyancy layer in a stratified fluid,” International journal of heat and mass transfer, 41(24), 4393-4397 (1998).

J.S. Park, ”Transient buoyant flows of a stratified fluid in a vertical channel,” KSME international journal, 15, 656-664 (2001).

A. Shapiro, and E. Fedorovich, ”Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid,” Journal of Fluid Mechanics, 498, 333-352 (2004).

E. Magyari, I. Pop, and B. Keller, ”Unsteady free convection along an infinite vertical flat plate embedded in a stably stratified fluid-saturated porous medium,” Transport in porous media, 62, 233-249 (2006).

R.C. Chaudhary, and A. Jain, ”MHD heat and mass diffusion flow by natural convection past a surface embedded in a porous medium,” Theoretical and Applied Mechanics, 36(1), 1-27 (2009).

Y.D. Reddy, B.S. Goud, and M.A. Kumar, ”Radiation and heat absorption effects on an unsteady MHD boundary layer flow along an accelerated infinite vertical plate with ramped plate temperature in the existence of slip condition,” Partial Differential Equations in Applied Mathematics, 4, 100166 (2021).

G.V.R. Reddy, C.V.R. Murthy, and N.B. Reddy, ”Unsteady MHD free convective mass transfer flow past an infinite vertical porous plate with variable suction and Soret effect,” Int. J. of Appl. Math. and Mech. 7(21), 70-84 (2011).

R. Muthucumaraswamy, and P. Sivakumar, ”Hydro magnetic effects on parabolic flow past an infinite isothermal vertical plate with variable mass diffusion in the presence of thermal radiation and chemical reaction,” International Journal of Recent Technology and Engineering, 4(2), 5–10 (2015).

F.M.N. El-Fayez, ”Effects of chemical reaction on the unsteady free convection flow past an infinite vertical permeable moving plate with variable temperature,” Journal of surface engineered materials and advanced technology, 2(2), 100- 109 (2012).

A. Bhattacharya, and R.K. Deka, ”Theoretical study of chemical reaction effects on vertical oscillating plate immersed in a stably stratified fluid,” Research Journal of Applied Sciences, Engineering and Technology, 3(9), 887–898 (2011).

U.N. Das, R. Deka, and V.M. Soundalgekar, ”Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction,” Forschung im Ingenieurwesen, 60(10), 284–287 (1994).

R. Kandasamy, K. Periasamy, and K.K.S. Prabhu, ”Chemical reaction, heat and mass transfer on mhd flow over a vertical stretching surface with heat source and thermal stratification effects,” International Journal of Heat and Mass Transfer, 48(21-22), 4557–4561 (2005).

N. Kalita, R.K. Deka, and R.S. Nath, ”Unsteady Flow Past an Accelerated Vertical Plate with Variable Temperature in Presence of Thermal Stratification and Chemical Reaction,” East European Journal of Physics, (3), 441-450 (2023).

R. S. Nath, and R.K. Deka, ”The Effects of Thermal Stratification on Flow Past an Infinite Vertical Plate in Presence of Chemical Reaction,” East European Journal of Physics, (3), 223-232 (2023).

R.S. Nath, R.K. Deka, and H. Kumar, ”The Effect of Thermal Stratification on Unsteady Parabolic Flow Past An Infinite Vertical Plate With Chemical Reaction,” East European Journal of Physics, (4), 77–86 (2023).

H. Kumar, and R.K. Deka, ”Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium,” East European Journal of Physics, (4), 87–97 (2023).

A.M. Megahed, and W. Abbas, ”Non-newtonian cross fluid flow through a porous medium with regard to the effect of chemical reaction and thermal stratification phenomenon,” Case Studies in Thermal Engineering, 29, 101715 (2022).

Abramowitz, Milton, I.A. Stegun, and R.H. Romer, ”Handbook of mathematical functions with formulas, graphs, and mathematical tables,” American Journal of Physics, 56(10), 958 (1988).

R.B. Hetnarski, ”An algorithm for generating some inverse Laplace transforms of exponential form,” Zeitschrift fur angewandte Mathematik und Physik ZAMP, 26, 249-253 (1975).

How to Cite
Sahu, D., & Deka, R. K. (2024). Thermal Stratification and Chemical Reaction Effects on MHD Flow Through Oscillatory Vertical Plate in a Porous Medium with Temperature Variation and Exponential Mass Diffusion. East European Journal of Physics, (2), 209-218.

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