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ORCID

Jonas A. James, https://orcid.org/0009-0001-8151-1202

Makungu J. Ng’oga,

Augustino I. Msigwa,

Ahmada O. Ali

Abstract

The study examines a steady convective boundary layer flow model influenced by magnetic fields and variable fluid properties over the inclined plate. The governing model system of non-linear partial differential equations is transformed into a system of coupled non-linear ordinary differential equations through similarity transformations. These transformed equations are then solved numerically using the fourth-order Runge-Kutta method combined with the shooting techniques using MATLAB package because it is efficiency, stable and converge to the expected solutions compared with other methods. The numerical results detail the fluid velocity, temperature, concentration, and the local Sherwood number, Nusselt number, and skin friction coefficient at the inclined plate which are quantitatively discussed. It was found that increasing the magnetic field strength enhances the fluid velocity, temperature, and concentration. Additionally, an increase in the thermal conductivity variation parameter within the boundary layer leads to higher temperature and concentration while reducing velocity. Conversely, the fluid concentration decreases as the chemical reaction parameter in the boundary layer rises. Furthermore, an increase in the magnetic parameter results in decrease in the heat transfer rate while simultaneously increases the skin friction and mass transfer rates.

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