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

AIMS Mathematics

article

T. Mahesh Kumar¹  Nehad Ali Shah²  V. Nagendramma³  P. Durgaprasad⁴  Narsu Sivakumar⁵  B. Madhusudhana Rao⁶  C. S. K. Raju⁷  Se-Jin Yook⁷ 

[1] Department of Mathematics, Sri Venkateswara University;Department of Mechanical Engineering, Sejong University;Department of Mathematics, Presidency University;Division of Mathematics, SAS, Vellore Institute of Technology, Chennai Campus;Department of Mathematics;Faculty Mathematics, Department of Information Technology, University of Technology and Applied Sciences;School of Mechanical Engineering, Hanyang University

关键词: thermal slip;    momentum slip;    Lie group transformations;    triple diffusive convection;    buoyancy forces;    magnetohydrodynamic;   

DOI  :  10.3934/math.2023300

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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 $M = 1$.

【 授权许可】

CC BY