Investigation of flow and heat transfer of unsteady Maxwell-Micropolar fluid over a stretching surface by Chebyshev-collocation method

A micropolar Maxwell fluid's unsteady two-dimensional flow over a stretching surface embedded in a porous medium, subject to thermal radiation, heat generation/absorption, suction/injection, and microstructural parameters, is studied in this work. The governing nonlinear partial differential equations (PDEs) are subsequently converted into a system of coupled ordinary differential equations (ODEs) by means of appropriate similarity variables after being derived from considerations of momentum, energy, and micro-rotation. The highly efficient and robust Chebyshev-collocation method is used to solve these equations numerically, and a comprehensive parametric analysis is performed to examine the detailed effects of various physical parameters, such as the unsteadiness parameter, suction/injection, elasticity, material parameter, resistance of the porous medium, and radiation on the flow and thermal fields. Not only do the findings indicate how the temperature, velocity, and angular velocity profiles are controlled, but they also show how these factors influence the modified skin friction and the Nusselt number.