Investigation of asymmetric wall temperature and concentration on free convection of conducting fluid in a microchannel

Abstract

AbstractIt is of great practical interest to study the fluid flow phenomena using buoyancy‐induced flow in a microchannel. The present problem is concerned with the natural convection in a vertical microchannel within electrically nonconducting surfaces with asymmetric wall temperature and concentration distributions. The interplay of velocity slip, temperature, and concentration jump at the walls contribute to salient features of the analysis. The governing equations of the fully developed flow are solved analytically as well as numerically. The results of both methods are in good agreement, providing the consistency and reliability of the applied numerical method. The striking outcome of the present study is that temperature, as well as concentration jump conditions at the walls, lead to flow reversal and non‐laminarity distributions of the induced current intensity and magnetic field. The higher rarefaction parameter, which ascribes the microchannel flow characteristics, prevents the growth of negative current intensity, whereas it favors the growth of velocity with induced magnetization.