动脉内脉动流的温度、压强和速度的径向分布

RADIAL DISTRIBUTION OF TEMPERATURE, PRESSURE AND VELOCITIES FOR THE OSCILLATORY FLOW IN ARTERY

目的 动脉内脉动流的温度径向分布以及与力学量的关系。方法 在Boussinesq近似下 ,将脉动流作为一级小量对流体运动方程组作微扰处理。结果 导出了含温度的脉动流方程 ,并解出了动脉内温度、压强和速度的径向分布。结论 (1 )温度和速度分布都与脉动频率有密切关系 ,温度波动的幅值与脉动频率成反比 ;(2 )当脉动频率增加时 ,温度和速度剧烈变化的部分将局限在接近管壁的薄层中 ;(3 )温度和轴向速度分布的变化具有相似性。

Objective To investigate the radial distribution of temperature for the oscillatory flow in artery, and its relationship with other mechanical quantities. Methods Considering oscillatory flow as the first-order terms, the equations of motion on the basis of Boussinesq's approximation can be treated by perturbation theory. Results The equations of oscillatory flow including temperature are derived, and the radial distributions of temperature, pressure and velocities for the oscillatory flow in artery are obtained. Conclusion (1)The distributions of temperature and velocities are closely related to oscillatory frequency, the amplitude of the temperature fluctuation is inverse proportional to oscillatory frequency.(2) With the increasing of the oscillatory frequency, the gradient of temperature and velocities is mainly restricted in the near-wall layers. (3) The distributions of temperature and axial velocity are comparable.