Free surface flow under gravity and surface tension due to an applied pressure distribution: I Bond number greater than one-third

2005 ◽  
Vol 19 (4) ◽  
pp. 237-252 ◽  
Author(s):  
Montri Maleewong ◽  
Jack Asavanant ◽  
Roger Grimshaw
2018 ◽  
Vol 86 ◽  
pp. 236-242 ◽  
Author(s):  
Kirill D. Nikitin ◽  
Kirill M. Terekhov ◽  
Yuri V. Vassilevski

1983 ◽  
Vol 10 (3) ◽  
pp. 369-383
Author(s):  
Tilena Kougnima ◽  
René Kahawita

The purpose of the laboratory investigation reported here has been to study the conditions under which vortices appear in the free surface flow upstream of a vertically inverted intake in a circular sump. The influence of geometry, approach conditions, size, and relative position of the intake in the sump has been studied. The effect of viscosity, surface tension, and inertia forces on the formation of vortices has been examined. A discussion of the results and the principal conclusions drawn permit certain recommendations to be made at the conceptual stage of pumping pits.


2017 ◽  
Vol 156 ◽  
pp. 526-533
Author(s):  
G.C. Hocking ◽  
H.H.N. Nguyen ◽  
T.E. Stokes ◽  
L.K. Forbes

2016 ◽  
Vol 64 (3) ◽  
pp. 281-288
Author(s):  
Yebegaeshet T. Zerihun

Abstract This study addresses a particular phenomenon in open channel flows for which the basic assumption of hydrostatic pressure distribution is essentially invalid, and expands previous suggestions to flows where streamline curvature is significant. The proposed model incorporates the effects of the vertical curvature of the streamline and steep slope, in making the pressure distribution non-hydrostatic, and overcomes the accuracy problem of the Saint-Venant equations when simulating curvilinear free surface flow problems. Furthermore, the model is demonstrated to be a higher-order one-dimensional model that includes terms accounting for wave-like variations of the free surface on a constant slope channel. Test results of predicted flow surface and pressure profiles for flow in a channel transition from mild to steep slopes, transcritical flow over a short-crested weir and flow with dual free surfaces are compared with experimental data and previous numerical results. A good agreement is attained between the experimental and computed results. The overall simulation results reveal the satisfactory performance of the proposed model in simulating rapidly varied gravity-driven flows with predominant non-hydrostatic pressure distribution effects. This study suggests that a higher-order pressure equation should be used for modelling the pressure distribution of a curvilinear flow in a steeply sloping channel.


1996 ◽  
Vol 24 (1) ◽  
pp. 39-49 ◽  
Author(s):  
H. Grogger ◽  
M. Weiss

Abstract The 3D flow around a 195/65R15 automobile tire is calculated. To describe the free surface behavior with the usual conservation equations for mass and momentum, an additional equation for the water mass fraction is solved. For modeling the effects of turbulence, the well-known k,ε-model is used. The resulting fluid mechanics equation system is solved by a finite volume method. A finite element calculation considering inflation pressure and tire deflection gives the surface for the flow calculation. The goal is to determine the lift force of the tire at a certain velocity to predict the tendency of the tire to hydroplane. For a slick tire, the calculated pressure distribution in the water is presented. The lift and drag forces are evaluated from the pressure acting directly on the tire surface. The calculation is performed at three different velocities, 30, 60, and 90 km/h. A comparison with experimental data shows good agreement regarding the pressure distribution on the road in front of the tire.


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