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guan nei ceng liu shun tai fen xi
Author(s): Wang Xiu-qing
Pages: 218-
225
Year: 1981
Issue:
3
Journal: Chinese Journal of Theoretical and Applied Mechanics
Keyword: 瞬态分析; 本征函数; 齐次边界条件; 压力波形; 波动方程; 初始条件; Bessel函数; 精确解; 瞬态压力; 计算曲线;
Abstract: The present paper makes use of eigenfuctions to analyse transient two dimensional lamiar flow problems in circular pipes. A wave equation of the pressure is derived which contains a damping coefficient equal to the square of a root of Bessel functions. On this basis, we obtain an exact solution of the pressure wave. By means of Duhamel 's-theorem, one can solve the general problem where, at one end of the pipe, the pressure varies arbitrarily with time. As an example, the pressure wave in a pipe terminatia by a container at one end and the pressure wave for water-hammer of Laminar flow in pipe is calculated. In addition, relationship between the distortion of traveling wave and transmisson number K is also studied.
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