scholarly journals Cumulative jet generation in a plane parallel potential flow of the perfect incompressible fluid

2017 ◽  
Vol 894 ◽  
pp. 012139
Author(s):  
N D Baykov ◽  
A G Petrov
Keyword(s):  
Incompressible Fluid ◽  
Potential Flow ◽  
Perfect Incompressible Fluid ◽  
Plane Parallel

scholarly journals Deformation of cylindrical cavities in plane-parallel potential flows with circulation and under the action of mass forces

2018 ◽  
pp. 207-214
Author(s):  
Н.Д. Байков ◽  
А.Г. Петров
Keyword(s):  
Boundary Element Method ◽  
Incompressible Fluid ◽  
Momentum Conservation ◽  
Quadrature Formulas ◽  
Heavy Fluid ◽  
Jet Formation ◽  
Perfect Incompressible Fluid ◽  
Plane Parallel ◽  
Potential Flows ◽  
Cylindrical Cavities

Рассматриваются задачи формирования кумулятивных струй в плоскопараллельных потенциальных течениях идеальной несжимаемой жидкости внутри цилиндрических полостей. На основе метода граничных элементов строится численный алгоритм решения. При аппроксимации используются квадратурные формулы без насыщения. Новизна работы заключается в исследовании потенциальных течений с ненулевой циркуляцией и выводе аналога закона сохранения импульса для таких течений. Кроме того, рассматривается задача всплытия полости в тяжелой жидкости. The problems of cumulative jet formation in plane-parallel potential flows of a perfect incompressible fluid within cylindrical cavities are considered. A new numerical algorithm is proposed on the basis of the boundary element method. The approximation is based on quadrature formulas without saturation. The novelty of this paper is to study the potential flows with nonzero circulation and to derive an analog of the momentum conservation law for such flows. The process of the cavity rise in a heavy fluid is also studied.

scholarly journals An Application of Hankel Transforms in Axially Symmetric Potential Flow

1956 ◽  
Vol 9 (3) ◽  
pp. 128-131
Author(s):  
A. G. Mackie
Keyword(s):  
New York ◽  
Incompressible Fluid ◽  
Circular Hole ◽  
Potential Flow ◽  
Fourier Transforms ◽  
The Other ◽  
Axially Symmetric ◽  
Symmetric Potential ◽  
Physical Interest ◽  
Hankel Transforms

In his book on Hydrodynamics, Lamb obtained a solution for the potential flow of an incompressible fluid through a circular hole in a plane wall. More recently Sneddon (Fourier Transforms, New York, 1951) obtained Lamb's solution by an elegant application of Hankel transforms.Since the streamlines in this solution are symmetric about the wall, it is not of particular physical interest. In this note, Sneddon's method is used to give a solution in which the fluid is infinite in extent on one side of the aperture but issues as a jet of finite diameter on the other side.

scholarly journals Gravitational and Dynamical Instabilities of a Decelerating Plane-Parallel Slab of Finite Thickness

1988 ◽  
Vol 101 ◽  
pp. 509-512
Author(s):  
G. Mark Voit
Keyword(s):  
Star Formation ◽  
Interstellar Medium ◽  
Incompressible Fluid ◽  
Gravity Wave ◽  
Finite Thickness ◽  
Blast Waves ◽  
Plane Parallel ◽  
The Stability ◽  
Dynamical Instabilities ◽  
Symmetric And Antisymmetric Modes

AbstractIn order to explore how supernova blast waves might catalyze star formation, we investigate the stability of a slab of decelerating gas of finite thickness. We examine the early work in the field by Elmegreen and Lada and Elmegreen and Elmegreen and demonstrate that it is flawed. Contrary to their claims, blast waves can indeed accelerate the rate of star formation in the interstellar medium. Also, we demonstrate that in an incompressible fluid, the symmetric and antisymmetric modes in the case of zero acceleration transform continuously into Rayleigh-Taylor and gravity-wave modes as acceleration grows more important.

Secondary circulation in fluid flow

1951 ◽  
Vol 206 (1086) ◽  
pp. 374-387 ◽  
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Velocity Distribution ◽  
Secondary Flow ◽  
General Expression ◽  
Total Pressure ◽  
Secondary Circulation ◽  
Perfect Incompressible Fluid ◽  
Uniform Velocity ◽  
Circular Pipes

Secondary circulation appears after fluid with a non-uniform velocity distribution passes round a bend. It alters the character of the flow and is a source of loss. A general expression is developed for its change along a streamline in a perfect, incompressible fluid. The flow in bent circular pipes is analyzed and the theory is compared with experiments on bent pipes and rectangular ducts. In bends the secondary flow is not spiral but oscillatory, the direction of the circulation changing periodically. The theory shows that secondary circulation remains unchanged if streamlines are geodesics on surfaces of constant total pressure.

scholarly journals Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers

2019 ◽  
Vol 873 ◽  
pp. 856-888 ◽  
Author(s):  
C. A. Galeano-Rios ◽  
P. A. Milewski ◽  
J.-M. Vanden-Broeck
Keyword(s):  
Free Surface ◽  
Incompressible Fluid ◽  
Wave Field ◽  
Potential Flow ◽  
Droplet Surface ◽  
Time Dependent ◽  
Bath Surface ◽  
Normal Impact ◽  
Droplet Impacts ◽  
Axisymmetric Impact

We present a model for capillary-scale objects that bounce on a fluid bath as they also translate horizontally. The rebounding objects are hydrophobic spheres that impact the interface of a bath of incompressible fluid whose motion is described by linearised quasi-potential flow. Under a quasi-normal impact assumption, we demonstrate that the problem can be decomposed into an axisymmetric impact onto a quiescent bath surface, and the unforced evolution of the surface waves. We obtain a walking model that is free of impact parametrisation and we apply this formulation to model droplets walking on a vibrating bath. We show that this model accurately reproduces experimental reports of bouncing modes, impact phases and time-dependent wave field topography for bouncing and walking droplets. Moreover, we revisit the modelling of horizontal drag during droplet impacts to incorporate the effects of the changes in the pressed area during droplet–surface contacts. Finally, we show that this model captures the recently discovered phenomenon of superwalkers.

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