充分发展管流计算中的一种方法

卢志明; 刘宇陆

充分发展管流计算中的一种方法

上海大学, 上海市应用数学和力学研究所, 上海 200072

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出版历程
- 收稿日期: 1995-10-13
- 刊出日期: 1997-04-15

A Calculation Method for Fully Developed Flows in Curved Rectangular Tubes

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 本文结合摄动法、伽辽金法和有限差分法求解小曲率及小Dean数情形下充分发展的弯曲矩形管中的二次流流函数ψ、轴向速度w,该方法避免了直接求解N－S方程的巨大工作量,也克服了通常流函数法中构造高阶差分的困难.小曲率、小Dean数情形针对不同宽高比的计算结果与前人的计算与实验结果对比表明,该方法是成功的.
- 弯曲管 /
- 伽辽金法 /
- Dean数
Abstract: In this paper, A method, consisted of perturbation method, Garlerkin method andfinite-difference method, is designed to calculate fully developed flows in curved tubes ofrectangular cross-section. It costs less computation than that of direct solving N-Sequations, and prevents from building high-order difference equations and extra dealingwith the boundary conditions. Numerical results in the situation of small curvature and lowDean number is in accordance with former's numerical and experimental results in quality,and it shows the feasibility of this paper's method.
- curved tube /
- Galerkin method /
- Dean number

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参考文献(12)

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