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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Soret-driven influence on unsteady magnetohydrodynamic mixed oscillatory flow in a two-phase channel : Exploring the thermal effects

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pp. 1053–1065Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1932XML
Received:
07 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1932
Pages:
1053–1065

Abstract

This research delves deeply into the intricate dynamics of the Soret effect within an unstable magnetohydrodynamic (MHD) mixed oscillatory flow occurring in a two-phase channel. The investigation spans a comprehensive spectrum of influences, including thermal, electrical, and chemical aspects. A pivotal aspect of this study involves the transformation of the governing equations into a dimensionless system, allowing for a nuanced examination of various media types, temperatures, and humidity levels within the specified research parameters. Subsequently, a rigorous analysis is conducted by applying the perturbation method to solve the equations. Through the utilization of illustrative charts, this study facilitates the computation of essential variables such as density and temperature. Furthermore, it delves into key parameters such as Gr, Gc, Sc, Sr, and others that characterize the flowing water.

Keywords

Subject Classifications

76-1035G1534A3476D5576E25

References

[1] Muthucumaraswamy. R and Meenakshi Sundaram. S. Appl. Mech., vol. 33, No. 3, pp.245-257 (2006).
[2] Mohammed Almakki, Hiranmoy Mondal, Precious Sibanda, “ Entropy Generation in MHD Flow of Viscoelastic Nanofluids with Homogeneous-Heterogeneous Reaction, Partial Slip and Nonlinear Thermal Radiation”, Journal of Thermal Engineering, April, Year: 2020, Volume: 6, Issue: 3, pp : 327-34 (APR 2020).
[3] Rehab Ali Shaban, Enas Yahya Abdullah & Athraa Neamah Albukhuttar, “Study unsteady flow of synovial fluid in the elastic porosity of layers using double ZZ transformation”, Journal of Interdisciplinary Mathematics, Volume 25, Issue 6 2022 ().
[4] Debasish Dey, O. D. Makinde & Rupjyoti Borah. “Analysis of Dual Solutions in MHD Fluid Flow with Heat and Mass Transfer Past an Exponentially Shrinking/Stretching Surface in a Porous Medium”, International Journal of Applied and Computational Mathematics, Volume 8, article number 66, (2022).
[5] Y. Khan, Afraz Hussain Majeed, Muhammad Afraz Rasheed, A. Alameer, “Dual solutions for double diffusion and MHD flow analysis of micropolar nanofluids with slip boundary condition”, Statistical and Computational Physics Volume 10 published in the year 2022 |https://doi.org/10.3389/fphy 2022.956737 .
[6] Amar B. Patil, Vishwambhar S. Patil, Pooja P. Humane, MD. Shamshuddin & Mehul A. Jadhav, “Double diffusive time-dependent MHD Prandtl nanofluid flow due to linear stretching sheet with convective boundary conditions”, All Journals International Journal of Modelling and Simulation List of Issues, Volume 43, Issue 1, published on February 10th 2022 https://doi.org/10.1080/02286203.2022.2033499. 
[7] Sushil Yadav, Mukesh Kumar, Virendra Kumar, “Analysis of Resonant Curve and Phase Portrait Due to Earth’s Equatorial Ellipticity in the Earth-Moon System Using Perturbation Technique”, Pages 275-298, Published online: 13 Nov 2022, Taru Publications. https://doi.org/10.1080/1726037X.2022.2120272. 
[8] Medisetty Padma Devi, Suripeddi Srinivas, “Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids”, Nonlinear Analysis: Modelling and Control Vol. 28 No. 3 (2023).
[9] Afaque Ahmed Bhutto, Iftikhar Ahmed, Saeed Ahmed Rajput, “The effect of oscillating streams on heat transfer in viscous magnetohydrodynamic MHD fluid flow”, VFAST Transactions on Mathematics, 11(1), 1-16. https://doi.org/10.21015/vem.v11/1.1386.  
[10] Wei Zeng, Qian Wang, “A Locally Divergence-Free Oscillation-Eliminating Discontinuous Galerkin Method for Ideal Magnetohydrodynamic Equations”, arXiv:2404.14274, https://doi.org/10 48550/arXiv 240414274 (2024).
[11] Kirti Malviya, Hanumagowda Bannihalli Naganagowda, Pavithra Kalluhole Matada, Sibbyala Vijay Kumar Varma, Chakravarthula SK Raju, Rohit Sharma, “Heat transfer analysis of MHD oscillatory SWCNT/MWCNT-H2O hybrid nanofluid flow in a channel”, Journal of Applied Mathematics and Mechanics, (2024). https://doi.org/10.1002/zamm.202300366. 
[12] Naufal Shyma Hussein, Rao Ganga Rama Koteswara, Velmurugan V, Sengan Sudhakar, Bommisetti Ravikumar, Dhadheech Pankaj, “Advancing viscoelastic material modeling: Tackling time-dependent behavior with fractional calculus”, Journal of Interdisciplinary Mathematics, Volume 27, Issue 2, Pages 307 – 3162024 (2024). Taru Publications.

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