管道热边界层理论的研究

Study on the Theory of Temperature Boundary Layer in Pipeline

研究了高粘性液体管道流动的热边界层理论。利用圆柱坐标粘性流运动基本微分方程，提出了管道热边界层方程，推导出边界层中的温度分布以及层流和紊流时热边界层厚度的常微分方程和解析解计算表达式，并通过Matlab编程实例，给出了热边界层厚度解析解与数值解的比较。计算结果表明：1）粘性的影响将使得热边界层的发展加快，随着粘性和流量的增大，其影响将更加显著；2）紊流时热边界层的发展比层流时要慢。

Wholly the theory of temperature boundary layer in pipeline is studied by the paper. It puts forward the equation of temperature boundary layer of pipeline, temperature distribution in temperature boundary layer. It is given the calculation expression of boundary layer thickness about laminar and turbulent flow. The calculated results are demonstrated by： 1 ） the influence of viscosity will accelerate the development of temperature boundary layer; 2） the thickness of temperature boundary layer in turbulent flow is slow as in laminar flow.