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This paper analyzes compressible gaseous slip flow through a three-dimensional straight uniform rectangular microchannel, and reports a set of asymptotic solutions. By comparing the magnitudes of different forces in the compressible gas flow, we obtain a proper criteria to estimate the Reynolds and Mach numbers at the channel exit. We select two sets of Mach and Reynolds numbers and obtain asymptotic analytical solutions of velocities and pressure distributions; first order velocity slip anddoi:10.1063/1.3562735 fatcat:bcafs636n5aajbtzkww4tj3k2a