Entropy assessment in nonlinear mixed convection of magneto-Ellis fluid in vertical porous microchannel: Application to efficiency management in microfluidic channels

The nonlinear mixed convection of thermal and solutal distributions through porous microchannels is a critical area of investigation due to its significant applications in the cooling of microchips, drug delivery systems, and solar thermal collectors. A non-Newtonian magneto-Ellis fluid is employed in the channel flow, highlighting the sophisticated dynamics and advanced control mechanisms within the system. This entropy-optimized reactive flow study examines the effects of nonlinear radiative heat flux, applied magnetic fields, and temperature-dependent heat sources on energy distribution. The concentration equation incorporates thermo-diffusion and reaction parameters. Our study reveals that as permeability K˜ grows, the Bejan number (Be) suggests a predominance of heat conduction over convection near the right wall. Furthermore, the contour lines indicate that the heat transfer rate is more responsive to the variations of the conduction-radiation parameter compared to the frictional heating effect. However, the conduction-radiation parameter shows a negative correlation with the mass transfer rate.