# Local nonsimilarity solutions for mixed convective flow over a stretching sheet in the presence of chemical reaction and hall current

## Abstract

This paper presents the combined eects of buoyancy forces, pressure gradient, heat source, thermal radiation, chemical reaction and Hall current on the heat and mass transfer of Newtonian uid over a stretching sheet subjected to a non-linear stretching velocity. The governing nonlinear partial differential equations were reduced to a system of coupled nonlinear ordinary differential equations by using an established local non-similarity transformation. The resulting equations are then solved numerically using the Midpoint Method with Richardson Extrapolation Enhancement scheme and implemented on the MAPLE 18 platform. The result reveals that axial and transverse velocity proles increase as Hall current parameter increases; though the increase is more pronounced for the transverse velocity. The magnetic eld strength was observed to reduce concentration, axial and transverse velocity proles but increases the temperature proles. It was also observed that increasing the nonlinear velocity parameter led to increases in the axial and transverse velocity proles whereas it reduces the temperature and concentration proles. In line with the physics of the problem, an increase in chemical reaction parameter reduces the concentration and the in uence of Hall current parameter on both axial and transverse velocities are of great signicance. The study concluded that the combined eects of thermophysical parameters such as chemical reaction, Hall current, thermal radiation.

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