Role of Micropolar Fluid on Vertical Microchannel with Induced Magnetic Field

This is a theoretical inspection of magnetohydrodynamic (MHD) natural convection in a vertical microchannel in the presence of a micropolar fluid. The motion is described by a system of simultaneous ordinary differential equations and solved numerically by spectral collocation techniques. The microchannel is shaped by two electrically nonconducting, vertical, and parallel plates. The objective of this research is to understand the effects of nondimensional parameters, such as the micropolar fluid material parameter (K), Knudsen number (Kn), Hartmann number (M), and rarefaction parameter ([Formula: see text]) on the velocity, induced magnetic field, induced current density, microrotation profile, and skin friction. These results are shown graphically, and we found that the impact of the micropolar fluid material parameter inhibits the velocity, induced magnetic field, and microrotation velocity. The Hartmann number and material parameters help decrease volume flow rate and skin friction. The point of inflection also appeared on the microrotation profile, and it is removed as the micropolar fluid material parameter [Formula: see text] increases. This investigation concludes that the micropolar fluid plays an important role in stabilizing the system.