有限雷诺数情况下微槽道可压缩流动滑移流模型稳定性的数值模拟

Numerical Simulation for the Stability of Slip Flow Model Applied to Compressible Flows in a Micro-channel with Finite Reynolds Number

通过对微槽道一阶滑移流模型稳定性的理论研究,发现在不可压缩流和雷诺数趋于零的情况下,当Knudsen数Kn大于1 9时,会出现不稳定现象.这一理论结论在可压缩流和有限雷诺数情况下是否成立,尚不清楚.采用成熟的计算方法,用数值计算来研究可压缩流和有限雷诺数情况下一阶滑移流模型的稳定性,发现随着雷诺数的减小,不稳定的临界Knudsen数也不断减小,逐渐趋近于在不可压缩流和雷诺数趋于零的情况下得到的理论分析结果.

Through a theoretical study,it is found that the incompressible slip flow model for flows in a microchannel with vanishing Reynolds numbers is unstable when the Knudsen number is larger than 1/9.The effect of the finite Reynolds numbers on the stability is considered.Results show that the critical Knudsen number for instability is an increasing function of the Reynolds numbers.