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论流函数偶与涡函数偶及其相应的梯度
引用本文:张长高. 论流函数偶与涡函数偶及其相应的梯度[J]. 河海大学学报(自然科学版), 1993, 21(4): 7-15
作者姓名:张长高
作者单位:河海大学环境工程系
摘    要:

关 键 词:流函数偶 涡函数偶 梯度 流体力学

Stream-function Couple and Vortex-function Couple and Their Corresponding Gradients
Zhang Changgao,Dept.of Environmental Engineering,Hohai Univ.. Stream-function Couple and Vortex-function Couple and Their Corresponding Gradients[J]. Journal of Hohai University (Natural Sciences ), 1993, 21(4): 7-15
Authors:Zhang Changgao  Dept.of Environmental Engineering  Hohai Univ.
Abstract:In this paper,a new concept-stream-function couple and its corresponding gradient are proposed based upon the character of stream-function previously investigated in fluid mechanics.The relation between the gradient of Stream-function couple and the streamline,velocity distribution,discharge and vorticity is established.Furthermore,in this paper,a new concept-vortex function coupleand its corresponding gradient are proposed,and the relation between the gradient of the vortex-function couple and the vortex-line,vorticiy distribution and vortex-intensity is esteblished.Finally,a method is presented to determine the velocity distribution through these new concepts,when the vorticity distribution is given.
Keywords:stream function couple  stream function couple gradient  vortex function couple  vortex function couple gradient  streamline  vortex-line
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