论流函数偶与涡函数偶及其相应的梯度

Stream-function Couple and Vortex-function Couple and Their Corresponding Gradients

对流体力学中有关流函数等的研究成果进行了慨括,提出流函数偶及其梯度的新概念,指出它与流线、流速、流量和旋度的关系.提出涡函数偶及其梯度的新概念,指出它与涡线、旋度、涡旋强度的关系.利用这些新概念对已知旋度分布求流速分布的经典命题提出了解法.

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.