Simulação do escoamento EMHD de um fluido micropolar em um duto quadrado utilizando a técnica da transformada integral generalizada

Abstract

This paper aims to perform the kinetic, microrotational and thermal analyses of an electromagnetohydrodynamic (EMHD) flow of a micropolar fluid within a quadratic section duct subjected to an external magnetic field, where the mathematical formulation takes into account a pulsatile pressure difference. The flow is transient, two-dimensional in laminar regime and has constant physical properties. The resulting nonlinear differential equations (Navier-Stokes Equation, Microrotation Equation and Energy Equation) were solved using the hybrid (analytic-numerical) GITT (Generalized Integral Transform Technique) technique and a computer code was synthesized in Wolfram Mathematica v. 11.3 software with the objective of numerically solving the proposed model. Aiming to analyze the consistency of the technique, the convergence analysis of the variables central velocity, central microrotation, central temperature, average velocity, average temperature, wall stress and Nusselt number was initially performed. Next, the numerical verification of the method is presented by comparing the results of GITT with that of the NDSolve routine of the software used. The analysis of the parameters involved in the flow (Strouhal number, Hartmann number, Prandtl number, Eckert number, electrical parameter, micropolarity parameter, mean pressure gradient, microrotation viscosity and pressure pulse frequency) and the physical interpretation of the variation of each of them is also performed.