Abstract
The fully developed longitudinal slip-flow mixed convection between a periodic bunch of vertical microcylinders arranged in regular arrays is investigated in the present work. The two axially constant heat flux boundary conditions of H1 and H2 are considered in the analysis. The rarefaction effects are taken into consideration using first-order slip velocity and temperature jump boundary conditions. The method considered is mainly analytical, in that the governing equations and three of the boundary conditions are exactly satisfied. The remaining symmetry condition on the right-hand boundary of the typical element is applied to the solution through the point-matching technique. The results indicate that both the pressure drop and Nusselt number are not dependent on the type of the boundary conditions at small and moderate blockage ratios. At higher blockage ratios, the pressure drop is higher for the H2 case, whereas the opposite true for the Nusselt number. Furthermore, the pressure drop is an increasing function of the blockage ratio and a decreasing function of the Knudsen number. The same trend is observed for the Nusselt number, except at higher blockage ratios at which the functionality of this parameter on the blockage ratio may change.
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