| 单词 | stream function |
| 释义 | > as lemmasstream function stream function n. Physics a mathematical function of position defined so that lines along which it has a constant value are the streamlines of a flow or the lines of force of a field. ΘΚΠ the world > matter > physics > mechanics > dynamics > fluid dynamics > [noun] > path of particle when motion is steady > specific function stream function1879 1879 H. Lamb Treat. Math. Theory Motion Fluids iv. 67 If P move about in such a manner that the value of ψ does not alter, it will trace out a curve such that no fluid anywhere crosses it, i.e. a stream-line. Hence the curves ψ = const. are the stream-lines, and ψ is called the ‘stream-function’. 1937 S. L. Green Hydro- & Aero-dynamics ii. 19 When w = ϕ + iψ is a function of z = x + iy the conditions ϕx = ψy, ϕy = −ψx are satisfied, and these conditions are exactly the same as those satisfied by the velocity potential and the stream function for an irrotational motion in two dimensions. 1979 Bertin & Smith Aerodynamics for Engineers ii. 44 The existence of a stream function is a necessary condition for a physically possible flow. < as lemmas |
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