In this paper we propose an analytical and a numerical procedure for solving gaseous slip flow in microtubes. An isothermal flow assumption is needed for the analytical procedure. The analytical solutions are capable of predicting very low Reynolds number microtube flows and compare quite well with the numerical results. The numerical procedure solves the compressible boundary-layer equations using an implicit finite-difference scheme. The parabolic character of the boundary-layer equations renders the numerical procedure a very efficient, accurate and robust tool for studying gaseous slip flows. It takes less than 30 seconds for this numerical procedure to run a typical case on a Pentium IV 1.5G computer. It was observed from the numerical simulations that the fluid goes through a strong expansion process for larger Reynolds number flows and the fluid temperature drops well below the wall temperature. This is quite different from the available experimental data. A reasonable explanation has been offered.
關聯:
中國航空太空學會學刊=Transactions of the Aeronautical and Astronautical Society of the Republic of China 35(3)，頁257-266
