ABSTRACT This study investigates steady two‐dimensional flow of a viscous, electrically conducting fluid over a vertical permeable surface under a transverse magnetic field. The analysis incorporates induced magnetic field effects corresponding to a high magnetic Reynolds number, along with viscous dissipation, chemical reaction, and internal heat generation or absorption. Using suitable similarity transformations, the governing nonlinear partial differential equations are reduced to a system of coupled ordinary differential equations, which are solved numerically. The effects of key parameters such as magnetic parameter, permeability, Prandtl number, Schmidt number, Eckert number, magnetic Reynolds number, chemical reaction parameter, and heat source or sink parameters on velocity, temperature, concentration, and induced magnetic field profiles are investigated. The results reveal that magnetic effects tend to slow down the fluid motion, while viscous dissipation enhances the temperature distribution. Increasing chemical reaction and Schmidt number reduces concentration, whereas heat generation and absorption exhibit opposite influences on thermal behavior. The numerical results show strong agreement with available benchmark solutions under limiting conditions, confirming the accuracy and reliability of the present analysis. The novelty of the present study lies in incorporating induced magnetic field effects at finite magnetic Reynolds number along with viscous dissipation, chemical reaction, and heat source or sink mechanisms in a unified model. The results reveal that the magnetic parameter significantly reduces velocity while enhancing temperature, whereas chemical reaction reduces concentration profiles. These findings provide useful insights for applications in thermal management and energy systems.
Tamuli et al. (2026) studied this question.