The Effect of Thermal Stratification on Unsteady Parabolic Flow past an Infinite Vertical Plate with Chemical Reaction

Keywords: Thermal Stratification, Chemical Reaction, Parabolic Flow, Vertical plate, Schimdt Number

Abstract

This research paper investigates the effects of thermal stratification on unsteady parabolic flow past an infinite vertical plate with chemical reaction. Using the Laplace transform method, analytical solutions are derived to simulate the physical process of the flow. The study considers the effects of thermal stratification on the flow field, as well as the effects of chemical reaction on the velocity, and temperature field. The results of the stratification case are then compared to the case of no stratification of a similar flow field. The results of this research can be used to improve understanding of the unsteady parabolic flow in thermal stratified environments and provide valuable insight into the effects of chemical reactions on the temperature field.

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References

R. Muthucumaraswamy, and E. Geetha, ”Effects of parabolic motion on an isothermal vertical plate with constant mass flux,” Ain Shams Engineering Journal, 5(4), 1317–1323 (2014). https://doi.org/10.1016/j.asej.2014.05.011

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).

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

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). https://doi.org/10.1007/s11242-005-1292-6

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). https://maxwellsci.com/print/rjaset/v3-887-898.pdf

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). https://doi.org/10.1017/S0022112003006803

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). 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 International Journal, 15, 656–664 (2001). https://doi.org/10.1007/BF03184382

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). https://doi.org/10.1007/BF02601318

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). http://dx.doi.org/10.4236/jsemat.2012.22016

B.P. Reddy, and J. Peter, ”Effects of chemical reaction on mhd flow past an impulsively started infinite vertical plate with variable temperature and mass diffusion in the presence of hall current,” Journal of the Serbian Society for Computational Mechanics, 13(1), 92–108 (2019). http://doi.org/10.24874/jsscm.2019.13.01.06

M.A. Mansour, N.F. El-Anssary, and A.M. Aly, ”Effects of chemical reaction and thermal stratification on mhd free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering soret and dufour numbers,” Chemical engineering journal, 145(2), 340–345 (2008). https://doi.org/10.1016/j.cej.2008.08.016

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). https://doi.org/10.1016/j.ijheatmasstransfer.2005.05.006

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). https://doi.org/10.1016/j.csite.2021.101715

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, 23–232 (2023). https://doi.org/10.26565/2312-4334-2023-3-19

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). https://doi.org/10.26565/2312-4334-2023-3-49

K. Rafique, Z. Mahmood, U. Khan, S.M. Eldin, M. Oreijah, K. Guedri, and H.A. El-Wahed Khalifa, ”Investigation of thermal stratification with velocity slip and variable viscosity on MHD flow of Al2O3-Cu-TiO2/H2O nanofluid over disk,” Case Studies in Thermal Engineering, 49, 103292 (2023). https://doi.org/10.1016/j.csite.2023.103292

M. Abramowitz, and I.A. Stegun, editors, Handbook of mathematical functions with Formulas, Graphs, and Mathematical Tables, Ninth Printing, (Dover Publications Inc., NY, 1970).

R.B. Hetnarski, ”An algorithm for generating some inverse laplace transforms of exponential form,” Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, 26, 249–253 (1975). https://doi.org/10.1007/BF01591514

Published
2023-12-02
Cited
How to Cite
Nath, R. S., Deka, R. K., & Kumar, H. (2023). 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. https://doi.org/10.26565/2312-4334-2023-4-08