<![CDATA[This investigation studies an unsteady squeezing magnetohydrodynamic flow of an Eyring–Powell fluid confined between two parallel plates with variable thermophysical properties, with an Arrhenius–type chemical reaction occurring simultaneously. The coupled nonlinear equations- the momentum one, then energy, and concentration too- are reshaped into dimensionless ordinary differential equations using similarity transformations, which kind of simplifies things, at least in the mathematical sense. After that, they craft a unified semi-numerical approach involving Chebyshev polynomials, a Galerkin weighted-residual framework, and Gauss–Legendre quadrature, so the numerical results can be obtained accurately without too much complication. They also provide a convergence analysis, which shows that stable solutions are reached at low polynomial order (N = 12), which is a good sign. Later, the authors cross-check the strategy against benchmark results reported by Ghadikolaei et al. (2017), and the matching outcomes support the methodis accuracy. In the results section, increasing electrical conductivity strengthens the Lorentz force and suppresses the velocity field, while higher thermal conductivity enhances the temperature distribution. Also, variable mass diffusivity thickens the concentration boundary layer, and if activation energy increases, the reaction rate slows, which then increases species concentration. Finally, they compute the skin friction coefficient, the Nusselt number, and the Sherwood number, which are used to quantify momentum, heat, and mass transfer, respectively. Overall, the Chebyshev–Galerkin scheme shows rapid convergence, reliable numerical stability, and good accuracy for nonlinear MHD non-Newtonian flow problems that include variable properties and reactive transport.]]>
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