Thermal effects of magnetohydrodynamic micropolar fluid embedded in porous medium with Fourier sine transform technique

Abstract

This paper investigates the thermal effects of magnetohydrodynamic micropolar fluid with hidden phenomenon of heat and mass transfer via Caputo–Fabrizio fractional derivative. Analytical solutions are obtained for velocity field, mass concentration, microrotation and temperature distribution by implementing Fourier Sine and Laplace transform. The general solutions have been expressed in terms of simple elementary functions involving the convolution theorem for the Laplace transform. The graphical illustration is depicted in order to explore the influence of rheological parameters, i.e., Grashof, Prandtl, Schmidt numbers, transverse magnetic field, microrotation parameter, porosity and few other parameters on micropolar fluid flow.