Embedded converging surface microchannels for minimized friction and thermal irreversibilities

Embedded converging surface microchannels are developed as effective new ways of reducing entropy production in boundary layer flow with convective heat transfer. A similarity solution with slip-flow boundary conditions is developed to find the spatial distributions of velocity, temperature, wall shear stress and wall heat flux. Mixed Knudsen number conditions along the surface require both slip-flow and no-slip formulations to be combined in an integral solution. Predicted results from the method of EBSM (entropy based surface micro-profiling) are presented for the optimized microchannel aspect ratio, spacing between adjacent microchannels and the angles characterizing the converging microchannels.