Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

Vellaboyina Nagendramma, Putta Durgaprasad, Narsu Sivakumar, Battina Madhusudhana Rao, Chakravarthula Siva Krishnam Raju, Nehad Ali Shah and Se-Jin Yook
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Vellaboyina Nagendramma: Department of Mathematics, Presidency University, Bangalore 560064, Karnataka, India
Putta Durgaprasad: Division of Mathematics, Vellore Institute of Technology, Chennai Campus, Chennai 600127, Tamil Nadu, India
Narsu Sivakumar: Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur 603203, Tamil Nadu, India
Battina Madhusudhana Rao: Faculty Mathematics, Department of Information Technology, University of Technology and Applied Sciences, Muscat 133, Oman
Chakravarthula Siva Krishnam Raju: School of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Se-Jin Yook: School of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea

Mathematics, 2022, vol. 10, issue 14, 1-31

Abstract: This analysis is interested in the dynamic flow of incompressible triple diffusive fluid flowing through a linear stretched surface. The current study simulates when Boussinesq approximation and MHD are significant. As for originality, a comparative study of all the results for opposing and assisting flow cases is provided. Lie-group transformation is utilized to determine symmetry depletions of partial differential equations. The transformed system of ordinary differential equations is solved using the Runge-Kutta shooting technique. The impacts of magnetic parameter, buoyancy ratio parameter of temperature and concentration, and Lewis number on velocity, temperature, and concentration are depicted through graphs. We observed that the magnetic field parameter decelerates in velocity distribution for both fluid flow cases. Additionally, the same phenomenon was noticed with the buoyancy ratio parameters on both salt concentration distributions. Finally, the influence of heat and mass transfer rates decreases for both fluid flow cases with an increase in Lewis number.

Keywords: lie group transformations; triple diffusive convection; buoyancy forces; MHD (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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