变壁温平板空气强迫对流边界层扩展方程及相似解

从控制真实流体流动的NS方程出发，在一种新的近似假设基础上，推得了变壁温平板空气强迫对流边界层扩展方程的数学模型，对其中的动量方程和能量方程进行了相似性生理和数值求解，给出了壁面温度呈指数规律变化时的无量纲速度，温度分布曲线。该结果在中，小雷诺数范围内较传统边界层方程的计算结果具有较好的准确性。

Approximate Solution of Expanded Boundary Layer Equations of Forced Convection Airflow Along a Flat Plate with Changeable Wall Temperature

Starting from the NS equations which control the flow of fluid, this paper presented the expanded boundary layer equations of forced convection airflow along a flat plate with changeable wall temperature on the basis of a new and more reasonable approximate hypothesis. Similarity treatment of the motion and energy equations was made while a numerical solution was reached. The profiles of dimensionless velocity and temperature with wall temperature changing as an exponential function were given. The approximate solution developed in this way is more accurate in contrast with that from the traditional boundary layer equations.