中文摘要：

从可压缩黏性流体的一般控制方程出发,通过数值模拟,研究管内可压缩层流交变流动传热现象,重点关注贝克利数对于传热的影响。采用离散傅立叶级数的形式表征管内交变流动传热特性,研究表明采用五阶级数拟合值与原始数据的相对误差可小于10%。给出了贝克利数为2和300时,一个周期内交变流动传热过程的计算结果,并进行了对比分析。根据模拟计算结果,分析了时均努塞尔数（即0阶努塞尔数）随贝克利数的变化关系。

英文摘要：

Numerical computations towards compressible oscillatory flow in a circular channel were conducted,the emphasis was focused on the impact of Peclet number on the heat transfer.Multiple-order Nusselt numbers were used to describe the heat transfer characteristics.The computed results indicate that the relative deviation between the fitted data and the raw data was less than 10%,when the fifth-order series was used.The temperatures and heat fluxes in an oscillation period for Peω=2 and Peω=300 were compared.The dependence of time-averaged Nusselt number（i.e.,the 0th Nusselt number） on Peclet number is also presented and analyzed.