升潜条件下矩形窄缝通道绝热层流流动解析解

Analytical Solution of Adiabatic Laminar Flow-in Narrow Rectangular Gap under Heaving Condition

摘要: 本文采用数学分析方法对矩形窄缝通道内绝热层流流动进行了研究。通过合理简化得到了分析对象的控制方程，基于固定流量和固定通道压降两种不同的边界条件，求解得出方程的解析解，从而可定量分析升潜条件对速度分布、压降、摩阻系数等的影响规律。

Abstract: Adiabatic laminar flow in narrow rectangular gap under heaving condition was analytically studied in this paper. First of all, reasonable assumptions were made and the governing equations of flow were hence simplified. Then analytical solutions were derived based on fixed inlet flow rate and fixed pressure drop boundary conditions. Thus the influences of heaving condition on velocity profile, pressure drop and frictional coefficient can be studied quantitatively.