Slip flow forced convection through microducts of arbitrary cross-section: Heat and momentum analogy

This work presents a theoretical approach, based on momentum and energy or Reynolds analogy, to investigate forced convection in microducts of arbitrary cross-section. H1 boundary condition is assumed for gas flow in the slip-flow regime with further complication of a temperature jump condition assumption. It is shown that applying an analogy concept, one can relate the slip-flow results to those of no-slip/no-jump ones available in the literature. Present results for slip flow in microchannels of parallel plate, circular, triangular, trapezoidal, polygonal, rhombic, and rectangular cross-sections are found to be in close agreement with those in the literature. A further modification, based on Chilton-Colburn analogy is applied to enable the Prandtl number variation effects when the Prandtl number is not equal to unity.