A two-dimensional flow and heat transfer model is used to study gas compressibility and rarefaction in microchannels assuming slip flow regime. The compressible forms of momentum and energy equations are sloved with slipo velocity and temperature jump boundary conditions in a parallel plate channel for both uniform wall temperature and uniform wall heat flux boundary conditions. The numerical methodology is based on a control volume finite difference numnerical methodology is baed on a control volume finite difference scheme. To verify the model, the mass flow rate was compared with the experimental results of helijm through a microchannel. Also, the normalized friction coefficient was compared with the experiments for nitrogen and helium flow in a microchannel, Finally, the axial pressure distribution was compared with the experimental results for nitrogen flow in a microchannel. The computations were performed for a wide range of Kn_(in), Re, dimensionless distance from the entrance, and for the wall parameters, q and T, to study the effects of rarefaction and compressibility. It was found that Nusselt number and friction coefficient were substantially reduced for slip flows compared with the continuum flows. The velocity and temperature distributions were flattened compared with continuum flows and the axial variation of pressure became nonlinear. It was shown that the effect of compressibility was important for higher Reynolds numbers and for lower Reynolds numbers, the effect of rarefaction was significant.
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