Stability of gravity-driven free surface flow of surfactant-laden liquid film flowing down a flexible inclined plane

2017 ◽  
Vol 165 ◽  
pp. 216-228 ◽  
Author(s):  
Dharmendra S. Tomar ◽  
Mahendra Baingne ◽  
Gaurav Sharma
Keyword(s):  
Free Surface ◽  
Liquid Film ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Inclined Plane ◽  
Gravity Driven

COMPUTATION OF THE FREE SURFACE FLOW OF A THIN LIQUID FILM AT ZERO AND NORMAL GRAVITY

1990 ◽  
Vol 17 (1) ◽  
pp. 53-71 ◽  
Author(s):  
M. M. Rahman ◽  
A. Faghri ◽  
W. L. Hankey ◽  
T. D. Swanson
Keyword(s):  
Free Surface ◽  
Liquid Film ◽  
Normal Gravity ◽  
Thin Liquid Film ◽  
Free Surface Flow ◽  
Surface Flow

scholarly journals Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model

2016 ◽  
Vol 64 (3) ◽  
pp. 281-288
Author(s):  
Yebegaeshet T. Zerihun
Keyword(s):  
Free Surface ◽  
Hydrostatic Pressure ◽  
Pressure Distribution ◽  
Free Surface Flow ◽  
Higher Order ◽  
Surface Flow ◽  
Pressure Profiles ◽  
Proposed Model ◽  
Saint Venant Equations ◽  
Gravity Driven

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.

Steady Free Surface Flow of a Fluid-Solid Mixture Down an Inclined Plane

2004 ◽  
Vol 22 (3) ◽  
pp. 253-273 ◽  
Author(s):  
P. RAVINDRAN ◽  
N. K. ANAND ◽  
M. MASSOUDI
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Inclined Plane ◽  
Solid Mixture

Two-dimensional natural element analysis of double-free surface flow under a radial gate

2012 ◽  
Vol 39 (6) ◽  
pp. 643-653 ◽  
Author(s):  
Farhang Daneshmand ◽  
S.A. Samad Javanmard ◽  
Jan F. Adamowski ◽  
Tahereh Liaghat ◽  
Mohammad Mohsen Moshksar
Keyword(s):  
Free Surface ◽  
Surface Profile ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Element Analysis ◽  
Pressure Distributions ◽  
Free Surface Profile ◽  
Natural Element ◽  
Gravity Driven ◽  
Radial Gate

The gravity-driven free surface flow problems for which both the solid and free surface boundaries are highly curved are very difficult to solve. A computational scheme using a variable domain and a fixed domain natural element method (NEM) is developed in the present study for the computation of the free surface profile, velocity and pressure distributions, and the flow rate of a 2D gravity fluid flow through a conduit and under a radial gate. The problem involves two highly curved unknown free surfaces and arbitrary curved-shaped boundaries. These features make the problem more complicated than flow under a sluice gate or over a weir. The fluid is assumed to be inviscid and incompressible and the results obtained are confirmed by conducting a hydraulic model test. The results are in agreement with other flow solutions for free surface profiles and pressure distributions.

scholarly journals Gravity-driven granular free-surface flow around a circular cylinder

2013 ◽  
Vol 720 ◽  
pp. 314-337 ◽  
Author(s):  
X. Cui ◽  
J. M. N. T. Gray
Keyword(s):  
Free Surface ◽  
Circular Cylinder ◽  
Numerical Simulations ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Pyroclastic Flows ◽  
Small Scale ◽  
Shallow Water Flows ◽  
Free Region ◽  
Gravity Driven

AbstractSnow avalanches and other hazardous geophysical granular flows, such as debris flows, lahars and pyroclastic flows, often impact on obstacles as they flow down a slope, generating rapid changes in the flow height and velocity in their vicinity. It is important to understand how a granular material flows around such obstacles to improve the design of deflecting and catching dams, and to correctly interpret field observations. In this paper small-scale experiments and numerical simulations are used to investigate the supercritical gravity-driven free-surface flow of a granular avalanche around a circular cylinder. Our experiments show that a very sharp bow shock wave and a stagnation point are generated in front of the cylinder. The shock standoff distance is accurately reproduced by shock-capturing numerical simulations and is approximately equal to the reciprocal of the Froude number, consistent with previous approximate results for shallow-water flows. As the grains move around the cylinder the flow expands and the pressure gradients rapidly accelerate the particles up to supercritical speeds again. The internal pressure is not strong enough to immediately push the grains into the space behind the cylinder and instead a grain-free region, or granular vacuum, forms on the lee side. For moderate upstream Froude numbers and slope inclinations, the granular vacuum closes up rapidly to form a triangular region, but on steeper slopes both experiments and numerical simulations show that the pinch-off distance moves far downstream.

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