Water hammer prediction and control:the Green's function method  

作　　者：Li-Jun Xuan Feng Mao Jie-Zhi Wu 

机构地区：[1]State Key Laboratory of Turbulence and Complex System,College of Engineering,Peking University,100871 Beijing,China

出　　处：《Acta Mechanica Sinica》2012年第2期266-273,共8页力学学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China,Key Project (10532010);the Ministry of Science and Technology of China’s Turbulence Program(2009CB724101);the National Basic Research Program of China(2007CB714600);the Foundation for Innovative Research Groups of the National Natural Science Foundation of China(10921202/A0204)

摘　　要：By Green＇s function method we show that the water hammer （WH） can be analytically predicted for both laminar and turbulent flows （for the latter, with an eddy vis- cosity depending solely on the space coordinates）, and thus its hazardous effect can be rationally controlled and mini- mized. To this end, we generalize a laminar water hammer equation of Wang et al. （J. Hydrodynamics, B2, 51, 1995） to include arbitrary initial condition and variable viscosity, and obtain its solution by Green＇s function method. The pre- dicted characteristic WH behaviors by the solutions are in excellent agreement with both direct numerical simulation of the original governing equations and, by adjusting the eddy viscosity coefficient, experimentally measured turbulent flow data. Optimal WH control principle is thereby constructed and demonstrated.By Green＇s function method we show that the water hammer （WH） can be analytically predicted for both laminar and turbulent flows （for the latter, with an eddy vis- cosity depending solely on the space coordinates）, and thus its hazardous effect can be rationally controlled and mini- mized. To this end, we generalize a laminar water hammer equation of Wang et al. （J. Hydrodynamics, B2, 51, 1995） to include arbitrary initial condition and variable viscosity, and obtain its solution by Green＇s function method. The pre- dicted characteristic WH behaviors by the solutions are in excellent agreement with both direct numerical simulation of the original governing equations and, by adjusting the eddy viscosity coefficient, experimentally measured turbulent flow data. Optimal WH control principle is thereby constructed and demonstrated.

关 键 词：Water hammer Two-dimensional analytical theory - Pressure transients Pipe-valve flow control 

分 类 号：O357.5[理学—流体力学] TN303[理学—力学]