Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow

T. Mahesh Kumar; Nehad Ali Shah; V. Nagendramma; P. Durgaprasad; Narsu Sivakumar; B. Madhusudhana Rao; C. S. K. Raju; Se-Jin Yook; T. Mahesh Kumar; Nehad Ali Shah; V. Nagendramma; P. Durgaprasad; Narsu Sivakumar; B. Madhusudhana Rao; C. S. K. Raju; Se-Jin Yook

doi:10.3934/math.2023300

AIMS Mathematics

2023, Volume 8, Issue 3: 5950-5979. doi: 10.3934/math.2023300

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Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow

1.
Department of Mathematics, Sri Venkateswara University, Tirupati, India-517502
2.
Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
3.
Department of Mathematics, Presidency University, Bangalore, Karnataka-India
4.
Division of Mathematics, SAS, Vellore Institute of Technology, Chennai Campus, Tamil Nadu, India
5.
Department of Mathematics, SRM IST-Kattankuluthur, Tamil Nadu, India- 603203
6.
Faculty Mathematics, Department of Information Technology, University of Technology and Applied Sciences, Muscat, Oman
7.
School of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul, 04763, Republic of Korea (CSKR)
^† These authors contributed equally to this work and are co-first authors

Received: 08 July 2022 Revised: 21 October 2022 Accepted: 24 October 2022 Published: 27 December 2022
MSC : 76–10, 76R10

This study examines the flow of an incompressible flow over a linear stretching surface with the inclusion of momentum and thermal slip conditions. A scaling set of alterations is applied to the governing system for both with and without magnetic field situations. The physical system being leftover invariant caused by some associations surrounded by the transformations. Later we find the absolute invariants 3^rd -order ODEs for the linear momentum equation and two 2^nd order ODEs consistent with the energy and concentration are obtained. The equations that coincide with the boundary circumstances are elucidated mathematically. The physical pertinent parameters as shown in graphs and the friction factor, Nusselt number and Salts 1 and 2 Sherwood numbers are shown in surface plots. We observed that the momentum slip parameter decelerates the skin friction coefficient in the presence of a magnetic field and enhances in the absence of the magnetic field parameter. The thermal slip parameter enhances the Nusselt number in both the presence and absence of magnetic field parameter. Finally, the thermal and concentration buoyancy ratio parameters are shown to upsurge the friction factor, Nusselt and Salts 1 and 2 Sherwood numbers in both cases of $M = 0$ and $M = 1$.
- thermal slip,
- momentum slip,
- Lie group transformations,
- triple diffusive convection,
- buoyancy forces,
- magnetohydrodynamic
Citation: T. Mahesh Kumar, Nehad Ali Shah, V. Nagendramma, P. Durgaprasad, Narsu Sivakumar, B. Madhusudhana Rao, C. S. K. Raju, Se-Jin Yook. Linear regression of triple diffusive and dual slip flow using Lie Group transformation with and without hydro-magnetic flow[J]. AIMS Mathematics, 2023, 8(3): 5950-5979. doi: 10.3934/math.2023300

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Abstract

This study examines the flow of an incompressible flow over a linear stretching surface with the inclusion of momentum and thermal slip conditions. A scaling set of alterations is applied to the governing system for both with and without magnetic field situations. The physical system being leftover invariant caused by some associations surrounded by the transformations. Later we find the absolute invariants 3^rd -order ODEs for the linear momentum equation and two 2^nd order ODEs consistent with the energy and concentration are obtained. The equations that coincide with the boundary circumstances are elucidated mathematically. The physical pertinent parameters as shown in graphs and the friction factor, Nusselt number and Salts 1 and 2 Sherwood numbers are shown in surface plots. We observed that the momentum slip parameter decelerates the skin friction coefficient in the presence of a magnetic field and enhances in the absence of the magnetic field parameter. The thermal slip parameter enhances the Nusselt number in both the presence and absence of magnetic field parameter. Finally, the thermal and concentration buoyancy ratio parameters are shown to upsurge the friction factor, Nusselt and Salts 1 and 2 Sherwood numbers in both cases of $M = 0$ and $M = 1$.

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