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

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).

Automated summary

This study analyzes the flow of a two-dimensional incompressible magneto-hydrodynamic fluid on a linear stretching sheet in the presence of suction or injection and convective boundary conditions. The flow governing equations are solved using a scaling group transformation method and shooting technique. The computational results are validated and the effects of different parameters on friction and mass transfer rate are investigated.