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The viscosity of fluids varies according to changes in pressure, temperature, and shear rate. As a consequence, it is essential to look at specific qualities in the paper industry, plastics extrusion in Rayon and Nylon production, the textile sector, and other industries. In such a way, the model is more precisely anticipated when the flow configuration comprises the viscosity and thermal conductivity of the fluid as a function of temperature. Owing to the importance of variable viscosity and thermal conductivity, this article highlights the importance of the magnetohydrodynamic (MHD) flow of Maxwell fluid over a bidirectional stretched surface. Fluid is electrically conducting in the presence of an applied magnetic field. Heat transfer analysis is carried out in the presence of thermal radiation and heat generation/absorption. A system of ordinary differential equations is obtained by appropriate transformations. Numerical solutions are computed for the resulting nonlinear differential system by applying the shooting method with the RK-5 scheme. The impact of different parameters on the velocity, temperature, and concentration profiles is examined. Computations for surface drag force, heat, and mass transfer rates are presented and examined for the influences of pertinent parameters. It is observed that fluid velocity reduces for larger Maxwell fluid parameter. Increasing values of thermal radiation parameter correspond to the enhancement in temperature. Mass transfer rate enhances for larger Schmidt number while heat transfer rate is increasing function of Prandtl number.

Impact of magnetohydrodynamics in bidirectional slip flow of Maxwell fluid subject to stretching, radiation, and variable properties