Abstract
Both analytical results and numerical simulations for the compressible flow in a circular microtube show that the flow compressibility affects the velocity profile not only in amount, but also in shape. The latter depends on the ratio of characteristic times of diffusion and acceleration, which is a function of local Mach number only. Consequently, the fully developed or locally fully developed approximation no longer holds even at very large value of l (dRe) if the Mach number is sufficient large, and the local friction factor and Nusselt number increases with increasing local Mach number.

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