Zy. Guo et Xb. Wu, FURTHER STUDY ON COMPRESSIBILITY EFFECTS ON THE GAS-FLOW AND HEAT-TRANSFER IN A MICROTUBE, Microscale thermophysical engineering, 2(2), 1998, pp. 111-120
Both analytical results and numerical simulations for the compressible
flow in a circular microtube show that the flow compressibility affec
ts the velocity profile nor only in amount, but also in shape. The lat
ter depends on the ratio of characteristic times of diffusion and acce
leration, which is a function of local Mach number only. Consequently,
the fully der eloped or locally fully developed approximation no long
er holds even at very large value of l/(d Re) if the Mach number is su
fficient large, and the local friction factor and Nusselt number incre
ases with increasing local Mach number.