Thermal and Mass Stratification Effects on Unsteady MHD Parabolic Flow Past an Infinite Vertical Plate with Variable Temperature and Mass Diffusion Through Porous Medium
Abstract
This study examines how thermal and mass stratification affect unsteady MHD parabolic flow past an infinite vertical plate through porous medium with variable heat and mass diffusion. Analytical solutions are derived for unitary Prandtl and Schmidt numbers using Laplace transform technique to simulate the the flow's physical process. The investigation takes into account how the flow field is impacted by thermal and mass stratification. Following that, the outcomes of the stratification case are then comapared with the scenario in which the flow field has no stratification. The finding of this study can help us comprehend more about the unsteady MHD parabolic flow and provide insightful information for stratified systems.
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References
J. S. Park, and J. M. Hyun, Transient behavior of vertical buoyancy layer in a stratified fluid, Intl. J. Heat Mass Transfer, 41, 4393-4397 (1998). https://doi.org/10.1016/S0017-9310(98)00175-6
J. S. Park, Transient buoyant flows of a stratified fluid in a vertical channel, KSME. Intl. J. , 15, 656-664 (2001). https://doi.org/10.1007/BF03184382
A. Shapiro, and E. Fedorovich, Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid, J. Fluid Mech. 498, 333-352 (2004). https://doi.org/10.1017/S0022112003006803
E. Magyari, I. Pop, 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). https://doi.org/10.1007/s11242-005-1292-6
B. C. Neog, and R. K. Deka, Unsteady natural convection flow past an accelerated vertical plate in a thermally stratified fluid, Theoret. Appl. Mech. 36(4), 261-274 (2009). https://doi.org/10.2298/TAM0904261D
R. K. Deka, and A. Bhattacharya, Magneto-Hydrodynamic (MHD) flow past an infinite vertical plate immersed in a stably stratified fluid, International Journal of the Physical Sciences, 6(24), 5831-5836 (2011). https://doi.org/10.5897/IJPS11.011
S. Gurminder, P. R. Sharma, and A. J. Chamkha, Effect of thermally stratified ambient fluid on MHD convective flow along a moving non-isothermal vertical plate, Intl. J. Phy. Sci. 5(3), 208-215 (2010). https://doi.org/10.5897/IJPS.9000199
R. C. Chaudhary, and A. Jain, MHD heat and mass diffusion flow by natural convection past a surface embedded in a porous medium, Theoret. Appl. Mech. 36(1), 1-27 (2009). http://dx.doi.org/10.2298/TAM0901001C
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). https://doi.org/10.26565/2312-4334-2023-4-09
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). https://doi.org/10.26565/2312-4334-2023-4-08
A. Selvaraj, S. D. Jose, R. Muthucumaraswamy, and S. Karthikeyan, MHD-parabolic flow past an accelerated isothermal vertical plate with heat and mass diffusion in the presence of rotation, Materials Today: Proceedings, 46, 3546–3549 (2021). https://doi.org/10.1016/j.matpr.2020.12.499
R. Muthucumaraswamy, and P. Sivakumar, Hydro magnetic effects on parabolic flow past an infinite vertical plate with variable mass diffusion in the presence of thermal radiation and chemical reaction, ARPN Journal of Engineering and Applied Sciences, 10(12), (2015). http://dx.doi.org/10.13140/RG.2.2.13011.84008
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). https://doi.org/10.1007/BF01591514
M. Abramowitz, 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). https://doi.org/10.1119/1.15378
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