Determining The Role of Thermal Radiation on Hydromagnetic Flow in A Vertical Porous Superhydrophobic Microchannel

Abstract

The focus of this article is to scrutinize the performances of thermal radiation and superhydrophobicity on a free convection of an electrically conducting fluid across an upstanding microchannel affected by a transverse magnetic field. The plates were alternatively  heated and incorporated with suction/injection effect. The approximate expressions of the formulated differential equations have been  calculated. It is interesting to report that the heat gradient and fluid motion are significantly propelled for mounting values of thermal  radiation parameter in both case I: super-hydrophobic surface (SHS) is heated and case II: no slip surface (NSS) is heated. However, this  effect brought down the fluid temperature at the NSS, which is attributable to the direction of the heat flow. On the other hand, the  velocity deteriorates for mounting values of magnetic field factor by the Lorentz force attracting the molecules, consequently leading to  the fluid deterioration.