Induced magnetic field effect on MHD free convection flow in nonconducting and conducting vertical microchannel walls

The current examination employs a numerical analysis to ascertain the effect of the Eckert number along with the Prandtl number on a magnetohydrodynamic natural convection flow of an incompressible viscous fluid in which it is electrically conducting, passing through a perpendicular microchannel. Conduction along with nonconducting immeasurable perpendicular walls within the existence of temperature and velocity slip at the microchannel is analyzed. The induced magnetic field (IMF) generated by the motion of an electrically conducting fluid in the presence of a transverse magnetic field is considered. The momentum and induction equations are coupled in the presence of an induced magnetic field. A set of similar variables are used to convert the governing set of equations to nonlinear-coupled ordinary differential equations. With the aid of MATLAB in built solver is carried out to get the numerical solutions. The influences of Hartman number, Prandtl number, and Eckert number along with some physical parameters are explained through graphs. The results indicate that increasing the Hartmann and magnetic Prandtl numbers results in a significant decrease in volume flow rate.

Automated summary

The study focuses on the numerical analysis of magnetohydrodynamic natural convection flow of an incompressible viscous fluid in a perpendicular microchannel, considering the effects of the Eckert number along with the Prandtl number. The study explains the influence of physical parameters such as the Hartman number, Prandtl number, and Eckert number on the flow characteristics through graphs. The results show a significant decrease in volume flow rate with increasing Hartmann and magnetic Prandtl numbers.