英语词汇“velocity potential”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

velocity potential n. [translating German geschwindigkeitspotential (H. von Helmholtz 1858, in Jrnl. f. die reine u. angewandte Math. LV. 25)] a scalar function of position such that its space derivatives at any point are the components of the fluid velocity at that point.

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velocity potential1867

1867 P. G. Tait tr. Helmholtz in London, Edinb. & Dublin Philos. Mag. 33 485 In integrating the hydrodynamical equations, the assumption has been made that the components of the velocity of each element of the fluid in three directions at right angles to each other are the differential coefficients, with reference to the coordinates, of a definite function which we shall call the velocity-potential.

1878 W. K. Clifford Elem. Dynamic iii. 203 The circulation along any path from o to p..is called the velocity-potential at p.

1882 G. M. Minchin Uniplanar Kinematics 160 If..the velocity potential has at each point of the curve an assigned value.

1907 F. W. Lanchester Aerodynamics iii. 91 Fluid in irrotational motion has a velocity potential.

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.

1980 Bober & Kenyon Fluid Mech. ix. 417 The velocity potential, Φ, or the stream function, Ψ, are often introduced into fluid-flow problems because they frequently reduce the difficulty in obtaining a solution to a particular problem.

单词	velocity potential
释义	> as lemmas velocity potential velocity potential n. [translating German geschwindigkeitspotential (H. von Helmholtz 1858, in Jrnl. f. die reine u. angewandte Math. LV. 25)] a scalar function of position such that its space derivatives at any point are the components of the fluid velocity at that point. ΘΚΠ the world > matter > physics > mechanics > dynamics > fluid dynamics > [noun] > irrotational flow > function velocity potential1867 1867 P. G. Tait tr. Helmholtz in London, Edinb. & Dublin Philos. Mag. 33 485 In integrating the hydrodynamical equations, the assumption has been made that the components of the velocity of each element of the fluid in three directions at right angles to each other are the differential coefficients, with reference to the coordinates, of a definite function which we shall call the velocity-potential. 1878 W. K. Clifford Elem. Dynamic iii. 203 The circulation along any path from o to p..is called the velocity-potential at p. 1882 G. M. Minchin Uniplanar Kinematics 160 If..the velocity potential has at each point of the curve an assigned value. 1907 F. W. Lanchester Aerodynamics iii. 91 Fluid in irrotational motion has a velocity potential. 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. 1980 Bober & Kenyon Fluid Mech. ix. 417 The velocity potential, Φ, or the stream function, Ψ, are often introduced into fluid-flow problems because they frequently reduce the difficulty in obtaining a solution to a particular problem. extracted from velocityn. < as lemmas
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