Semi-Numerical Method For Solving Unsteady Squeezing Magnetohydrodynamic Eyring-Powell Fluid Model With Variable Thermophysical Properties
Keywords:
Magneto-hydrodynamic, Eyring-Powell Fluid Model, Squeezing Flow, Variable Thermo physical Properties, Orthogonal PolynomialAbstract
This study investigates the unsteady squeezing magnetohydrodynamic flow of an Eyring–Powell fluid between two parallel plates with variable thermophysical properties and Arrhenius chemical reaction effects. The governing continuity, momentum, energy, and concentration equations are transformed into dimensionless form and solved using a hybrid semi numerical approach based on Chebyshev polynomials combined with the Galerkin weighted residual technique,Gaussian quadrature ensures accurate evaluation of integral terms. The effects of electrical conductivity, thermal conductivity, mass diffusivity, magnetic field strength, and activation energy on velocity, temperature, and concentration are analyzed. Results show increase in electrical conductivity strengthens magnetic, producing a resistive Lorentz force that suppresses fluid velocity. Thermal conductivity improves heat transport within the channel, leading to higher temperature distribution and better thermal performance. Increasing Arrhenius activation energy reduces the chemical reaction rate, thereby increasing species concentration within the boundary layer due to reduced consumption of reacting particles. Variable mass diffusivity enhances species transport and enlarges the concentration boundary layer thickness. Quantities including skin friction coefficient, Nusselt number, and Sherwood number are evaluated to characterize momentum, heat, and mass transfer at the surfaces. Proposed Chebyshev–Galerkin demonstrates convergence and high accuracy, confirming its effectiveness for solving nonlinear fluid flow problems with variable properties.
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