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Three-Dimensional Fields of Flow
1934The functions ϕ and ψ as hitherto employed and arising out of the development of some function of (x + iy) are not applicable to fields of flow in three-dimensional space. The definition of ψ, however, remains, as in Division A VII 1—a function whose derivative along any direction in space will give the velocity in that direction.
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Three-Dimensional Irrotational Flow
1967The general case of three-dimensional irrotational flow involves the determination of the velocity potential function which satisfies the boundary conditions and the Laplace equation $${\nabla ^2} = \frac{{{\partial ^2}\phi }}{{\partial {x^2}}} + \frac{{{\partial ^2}\phi }}{{\partial {y^2}}} + \frac{{{\partial ^2}\phi }}{{\partial {z^2}}} = 0$$ (
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Simulation of three-dimensional flows
1995Numerical investigation of three-dimensional flows requires, in general, a large amount of computations, which is caused, to a great extent, by more severe restrictions on the allowable value of time increment and the lower convergence rate of the iterative procedures as compared with one- and two-dimensional problems. For this reason, the well-founded
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A low‐dimensional Galerkin method for the three‐dimensional flow around a circular cylinder
Physics of Fluids, 1994Bernd R Noack +2 more
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A coupled three dimensional model of vanadium redox flow battery for flow field designs
Energy, 2014Cong Yin
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Stream Functions for Three‐Dimensional Flows
Journal of Mathematics and Physics, 1951openaire +1 more source