Magneto-hydrodynamics (MHD) flow analysis with mixed convection moves through a stretching surface

The objective of this work is to analyze the impact of magneto-hydrodynamics flow across a stretching layer in the existing magnetic sector. The classifying boundary layer equations are converted to a set of non-linear equations by taking advantage of similarity structures. The transformed scheme is mathematically resolved by the homotopy analysis method. Results are measured numerically and plotted graphically for velocity and temperature distribution. Furthermore, flow and heat transfer effects for different physical parameters such as the stretching parameter, mixed convection parameter, magnetic parameter, heat generation coefficient, and Prandtl number are analyzed. Some physical effects reveal that an increase in the Hartmann number raises the fluid's boundary layer that shows the reverse phenomena of Lorentz force because the speed of the free stream transcends the stretching surface. Upon verifying the homology of the current study with some past investigations, a good harmony is revealed. The velocity of the fluid flow was initially considered to be an increasing function of heat generation, buoyancy parameter, and magnetic field strength, but it later revealed as a decreasing function of the Prandtl number.

Automated summary

This study examines the impact of magneto-hydrodynamics flow through a stretching layer in an existing magnetic sector using the homotopy analysis method to mathematically analyze the set of non-linear equations derived from the classifying boundary layer equations. The results include numerical measurements and graphical representations of velocity and temperature distribution, as well as an analysis of the effects of various physical parameters on flow and heat transfer. Physical effects such as the increase in Hartmann number leading to a higher fluid boundary layer are observed, with the study showing good harmony with previous investigations. The velocity of the fluid flow is found to be influenced by factors such as heat generation, buoyancy, magnetic field strength, and Prandtl number.