Analysis of the MHD Oscillatory Flow and Its Effect on the Temperature and Concentration of Ree-Eyring Fluid Between Two Parallel Horizontal Porous Plates
DOI:
https://doi.org/10.29304/jqcsm.2025.17.22203Keywords:
Ree-Eyring fluid, Magnetohydrodynamic (MHD), parallel plate, perturbation techniqueAbstract
This work aims to examine the effects of magnetohydrodynamic (MHD) oscillatory flow on heat transfer and concentration in a Ree-Eyring fluid within a channel bounded by two parallel porous plates. The problem is formulated as a nonlinear, nonhomogeneous partial differential equation. The momentum equation is solved using the separation of variables method combined with the perturbation technique to determine the velocity, temperature, and concentration profiles. The obtained solutions are analyzed using MATHEMATICA 14.1, with graphical representations illustrating the results. The analysis is conducted using various parameter values to explore their influence on the system.
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Al-Shammari, I. S. S., & Al-Khafajy, D. G. S. Influence of Temperature on the Concentration and thus on the MHD Oscillatory Flow of a Tangent Hyperbolic Fluid through a Regular Permeable Channel. Journal of Al-Qadisiyah for Computer Science and Mathematics 16(2), 36–46 (2024). https://doi.org/10.29304/jqcsm.2024.16.21549
Çengel, Y. A., & Cimbala, J. M. Fluid Mechanics: Fundamentals and Applications (3rd ed.). McGraw-Hill. . (2013). ISBN: 978-0073380322.
Soundalgekar VM and Bhat J. Oscillatory MHD channel flow and heat transfer, Indian Journal of Pure and Applied Mathematics, 15(7), p. 819-828; (1984), ISSN 0019-5588.
Attia, H.A. and Kotb, N.A., MHD flow between two parallel plates with heat transfer, Acta Mechanica, 117, 215–220, (1996). https://doi.org/10.1007/BF01181049
Khudair, W. S. and Dheia, G. Salih Al-khafajy., Influence of heat transfer on Magneto hydrodynamics oscillatory flow for Williamson fluid through a porous medium, Iraqi Journal of Science, 59(1B), 389–397, (2018).
Chhabra, R. P., & Richardson, J. F. Non-Newtonian Flow and Applied Rheology. Engineering Applications Book, Second Edition, (2008). https://doi.org/10.1016/B978-0-7506-8532-0.X0001-7
Bird, R. B., Armstrong, R. C., & Hassager, O. Dynamics of Polymeric Liquids, Volume 1: Fluid Mechanics. Wiley, (1987). https://doi.org/10.1063/5.0196272
Ghosh, S. K. MHD Oscillatory Flow of a Non-Newtonian Fluid in a Porous Medium. International Journal of Heat and Mass Transfer, Volume 108, Pages 1-10, (2017).
Shenoy, A. V. Non-Newtonian Fluid Heat Transfer in Porous Media. Advances in Heat Transfer, Volume 34, Pages 1-50, (1999). https://doi.org/10.1016/S00652717(08)70289-5
Prathiksha Sanil, Rajashekhar Choudhari, Manjunatha Gudekote, Hanumesh Vaidya, Kerehalli Vinayaka Prasad. Impact of Chemical Reactions and Convective Conditions on Peristaltic Mechanism of Ree-Eyring Fluid in a Porous Medium–A Mathematical Model. International Journal of Thermofluids, Volume 26, 101086, March (2025). https://doi.org/10.1016/j.ijft.2025.101086
Ijaz, N., Zeeshan, A., & Bhatti, M. M. Peristaltic propulsion of particulate non-Newtonian Ree-Eyring fluid in a duct through constant magnetic field. Alexandria Engineering Journal, Volume 57, Issue 2, Pages 1055-1060, June (2018). https://doi.org/10.1016/j.aej.2017.02.009
Hayat, T., Akram, J., Alsaedi, A., & Zahir, H. Endoscopy and homogeneous-heterogeneous reactions in MHD radiative peristaltic activity of Ree-Eyring fluid. Results in Physics, Volume 8, Pages 481-488, March (2018). https://doi.org/10.1016/j.rinp.2017.12.056
Haider, I., Jabeen, U., Hussain, A., Mohsin, M. A., Younis, J., Shaaban, I. A., & Assiri, M. A. Viscous dissipation and variable density impact on heat-mass transmission in magneto Ree-Eyring nanofluid across stretched sheet with multiple slips. Case Studies in Thermal Engineering, In Press, Journal Pre-proof, 105871, 13 February (2025). https://doi.org/10.1016/j.csite.2025.105871.
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Copyright (c) 2025 Sadiq A. Mohammad AL-Husainy, Dheia G. Salih Al-Khafajy
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