Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations

作     者：Mamatha, S. U. Devi, R. L. V. Renuka Ahammad, N. Ameer Shah, Nehad Ali Rao, B. Madhusudhan Raju, C. S. K. Khan, M. Ijaz Guedri, Kamel 

作者机构：Kristu Jayanti Coll Dept Math Kothanur PO Bengaluru 560077 Karnataka India Sri Venkateswara Univ Dept Math Tirupati Andhra Pradesh India Univ Tabuk Fac Sci Dept Math POB 741 Tabuk 71491 Saudi Arabia Sejong Univ Dept Mech Engn Seoul 05006 South Korea Univ Technol & Appl Sci Fac Math Dept Informat Technol Muscat Oman GITAM Sch Sci GSS Dept Math Bengaluru Karnataka India Riphah Int Univ I14 Dept Math & Stat Islamabad 44000 Pakistan Lebanese Amer Univ Dept Mech Engn Beirut Lebanon Umm Al Qura Univ Coll Engn & Islamic Architecture Mech Engn Dept POB 5555 Mecca 21955 Saudi Arabia 

出 版 物：《INTERNATIONAL JOURNAL OF MODERN PHYSICS B》 (国际现代物理学杂志，B：凝聚态物理、统计物理、应用物理)

年 卷 期：2023年第37卷第1期

页      面：2350007-2350007页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Deanship of Scientific Research at the Umm AlQura University [22UQU4331317DSR43] 

主　　题：Lie group suction/injection triple diffusive convection convective boundary magneto-hydrodynamic multi-linear regression 

摘      要：This work analyzes the two-dimensional flow of an incompressible magneto-hydrodynamic fluid over linear stretching sheet in the presence of suction or injection and convective boundary conditions. A scaling group transformation method is applied to the flow governing equations. The system remains invariant due to the relation between the transformation parameters. Upon finding three absolute invariants, third-order ordinary differential equations (ODEs) corresponding to momentum equation and second-order ODEs corresponding to energy and diffusion equations are derived. Shooting technique (R-K fourth-order) is applied to work out the flow equations numerically. MATLAB is used for the simulation and the results are exhibited through graphs. The computational results are validated with the published research work and a modest concurrence was found. The main outcome of this study is found to be that raising values of f(si) and Gamma(1) decline the friction, whereas Gamma(1) and Gamma(2) show the opposite (increasing). The rising values of f(si) and M in addition to M and Gamma(2) show a decline in friction factor. The Nusselt number values are improved as raising values of Pr versus f(si) and Pr versus M. It is very clear the monotonically increasing M versus f(si) and strictly increasing f(si )versus M cases. It is very clear the mass-transfer rate is smoothly improved Le(1) versus Le(2) and strictly increased Le(1) versus Gamma(1).