Begell House Inc.
Multiphase Science and Technology
MST
0276-1459
16
1-3
2004
Editorial
i
10.1615/MultScienTechn.v16.i1-3.10
Geoffrey F.
Hewitt
Department of Chemical Engineering & Chemical Technology Imperial College of Science, Technology & Medicine Prince Consort Road, London SW7 2B Y, England
TEST-CASE NO 1: RISE OF A SPHERICAL CAP BUBBLE IN A STAGNANT LIQUID (PN)
1-5
10.1615/MultScienTechn.v16.i1-3.20
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
C.
Duquennoy
EDF-SEPTEN, 12-14 av. Dutrievoz, 69628 Villeurbanne Cedex, France
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
The test case concerns the simulation of a fluid inclusion rising in another stagnant fluid. The transient rise velocity, and the steady-state rise velocity and shape should be compared to the results obtained with an accurate numerical technique.
TEST-CASE NO 2: FREE RISE OF A LIQUID INCLUSION IN A STAGNANT LIQUID (PN, PE)
7-16
10.1615/MultScienTechn.v16.i1-3.30
Herve
Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France
E.
Hervieu
Comissariat a l’Energie Atomique, Laboratoire d’Etude Fondamentales, Service de Thermohydraulique pour les Applications Industrielles, Centre d'etudes Nucleaire de Grenoble, 38041, Grenoble Cedex, France
It is proposed to calculate the evolution of the shape of a viscous fluid ellipsoid initially at rest rising in another viscous fluid. The comparisons should be performed against numerical simulations obtained with a boundary element method and against experimental data.
TEST-CASE NO 3: PROPAGATION OF PURE CAPILLARY STANDING WAVES (PA)
17-21
10.1615/MultScienTechn.v16.i1-3.40
Pierre
Lubin
TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607, Pessac Cedex, France
E.
Canot
IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France
Analytical solutions for small amplitude capillary waves are first recalled. It is then proposed to evaluate the numerical diffusion by simulating two-dimensional standing capillary waves at the interface between two viscous fluids and by comparing the numerical results with the analytical solutions.
TEST-CASE NO 4: RAYLEIGH-TAYLOR INSTABILITY FOR ISOTHERMAL, INCOMPRESSIBLE AND NON-VISCOUS FLUIDS (PA)
23-29
10.1615/MultScienTechn.v16.i1-3.50
E.
Canot
IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
One considers a closed box with vertical boundaries containing two immiscible liquids. The heaviest liquid is above the other one and the interface between them is nearly flat. Gravity is perpendicular to the interface. The initial shape of the interface corresponds to the most unstable mode. The time evolution of the interface should be predicted.
TEST-CASE NO 5: OSCILLATION OF AN INCLUSION IMMERSED IN A QUIESCENT FLUID (PA)
31-38
10.1615/MultScienTechn.v16.i1-3.60
Herve
Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France
Didier
Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
This test case deals with the oscillation of an inclusion, i.e. a bubble or a droplet, immersed in a quiescent fluid. The two fluids are immiscible and inviscid. The objective of this test-case is to provide a verification of the balance between surface tension and inertial effects which are the only effects that control the fluid motion.
TEST-CASE NO 6: TWO-DIMENSIONAL DROPLET PINNING ON AN INCLINED WALL (PC)
39-42
10.1615/MultScienTechn.v16.i1-3.70
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
C.
Duquennoy
EDF-SEPTEN, 12-14 av. Dutrievoz, 69628 Villeurbanne Cedex, France
Didier
Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
Francois
Feuillebois
LIMSI-CNRS, BP 133, F-91403 Orsay Cedex, France
This test case is primarily dedicated to check the ability of a numerical method to simulate contact line effects, in particular the contact line hysteresis. It consists in computing the conditions for which a two-dimensional droplet sticks or slides on an inclined wall.
TEST-CASE NO 7A: ONE-DIMENSIONAL PHASE CHANGE OF A VAPOR PHASE IN CONTACT WITH A WALL (PA)
43-60
10.1615/MultScienTechn.v16.i1-3.80
Didier
Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
C.
Duquennoy
EDF-SEPTEN, 12-14 av. Dutrievoz, 69628 Villeurbanne Cedex, France
The proposed test case gives one-dimensional analytical solutions, which may be compared to numerical results and may test the ability of a numerical method to account for interfacial liquid-vapor phase change dominated by thermal effects. Two different solutions are provided. The first one is a steady state solution in the reference frame linked to the interface, whereas the second one corresponds to an unsteady problem for which one of the phases is initially superheated or subcooled.
TEST-CASE NO 7B: ISOTHERMAL VAPORIZATION DUE TO PISTON ASPIRATION (PA)
61-67
10.1615/MultScienTechn.v16.i1-3.90
Didier
Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
The assessment of the consistency of a numerical method for surface tension modeling is proposed by comparison to analytical results. The first test case consists in verifying the equilibrium shape of a cylindrical drop. In the second test case, an initially square cylindrical drop oscillates under the effect of surface tension forces. The objective of the two test cases is to estimate whether the discretization error on the curvature of an interface may generate numerical parasitic currents.
TEST-CASE NO 10: PARASITIC CURRENTS INDUCED BY SURFACE TENSION (PC)
69-74
10.1615/MultScienTechn.v16.i1-3.100
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
The assessment of the consistency of a numerical method for surface tension modeling is proposed by comparison to analytical results. The first test case consists in verifying the equilibrium shape of a cylindrical drop. In the second test case, an initially square cylindrical drop oscillates under the effect of surface tension forces. The objective of the two test cases is to estimate whether the discretization error on the curvature of an interface may generate numerical parasitic currents.
TEST-CASE NO 11A: TRANSLATION AND ROTATION OF A CONCENTRATION DISK (N)
75-78
10.1615/MultScienTechn.v16.i1-3.110
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
The objective of this test case is to validate the advection volume fraction algorithm for a vortex velocity field. Two initial shapes are proposed: a circular concentration field and an severed circular concentration field. The numerical diffusion, the mass conservation and the advection accuracy can be estimated to demonstrate the quality of an interface tracking technique.
TEST-CASE NO 11B: STRETCHING OF A CIRCLE IN A VORTEX VELOCITY FIELD (N)
79-82
10.1615/MultScienTechn.v16.i1-3.120
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
D.
Juric
CNRS/LIMSI, BP 133, 91403 Orsay Cedex, France
Two advection numerical tests dedicated to strong interface stretching are proposed. The first test case considers a single vortex centered in a square box, whereas in the second one a periodic multi-vortex velocity field is generated in a square cavity. An initially circular concentration shape is distorted during n time iterations. Then, the flow is reversed during n time iterations to recover the initial shape. After 2n iterations, the theoretical solution of the scalar advection problem should be identical to the initial interface shape.
TEST-CASE NO 12: FILLING OF A CUBIC MOULD BY A VISCOUS JET (PN, PE)
83-86
10.1615/MultScienTechn.v16.i1-3.130
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
A cubic cavity initially full of air is filled with a viscous fluid through a circular injector centered on the upper boundary of the cavity. During the injection the jet is unstable. Two-dimensional or three-dimensional oscillations may appear depending on the injection conditions. The numerical results may be compared with analytical and experimental results of the literature.
TEST-CASE NO 13: SHOCK TUBES (PA)
87-96
10.1615/MultScienTechn.v16.i1-3.150
S.
Rouy
CIG Ecole des Mines de Paris, 35 rue Saint-Honore, 77305 Fontainebleau Cedex, France
P.
Helluy
ANAM, ISITV, BP 56, 83162 La Valette du Var Cedex, France
S.
Kokh
DEN/DM2S/SFME/LETR, CEA/Saclay, 91191 Gif-sur-Yvette, France
Four shock tube test cases are proposed: three for gas-gas flows and one for a gas-liquid flow. Both fluids are inviscid and separated by a flat contact discontinuity. The flow is one-dimensional. The analytical solutions of the corresponding Riemann problems are given.
TEST-CASE NO 14: POISEUILLE TWO-PHASE FLOW (PA)
97-100
10.1615/MultScienTechn.v16.i1-3.140
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
The two-layer laminar Poiseuille flow is suggested as a case test. Two superimposed layers of viscous fluids separated by a flat interface are flowing in a horizontal channels. The analytical solution is provided.
TEST-CASE NO 15: PHASE INVERSION IN A CLOSED BOX (PC)
101-104
10.1615/MultScienTechn.v16.i1-3.160
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
Didier
Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
The flow induced by buoyancy forces on an oil inclusion in a cavity full of water is considered. While the density difference effect is counteracted by viscosity and surface tension, an unsteady turbulent flow develops leading to strong interface shearing and stretching with drop extraction and collapse. The final stage is a stratified configuration with the oil on top of water which should be predicted by the numerical simulation.
TEST-CASE NO 16: IMPACT OF A DROP ON A THIN FILM OF THE SAME LIQUID (PE, PA)
105-109
10.1615/MultScienTechn.v16.i1-3.170
F.
Pigeonneau
Saint-Gobain Recherche, BP 135 - 39 quai Lucien Lefranc, 93303 Aubervilliers Cedex, France
Francois
Feuillebois
LIMSI-CNRS, BP 133, F-91403 Orsay Cedex, France
This test case concerns the impact of a drop on a thin liquid film. After the impact a crown forms whose diameter and height should be compared with experimental data.
TEST-CASE NO 17: DAM-BREAK FLOWS ON DRY AND WET SURFACES (PN, PA, PE)
111-115
10.1615/MultScienTechn.v16.i1-3.180
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
Jean-Paul
Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France
Two configurations of the two-dimensional dam-break problem are considered: the dam-break on a wet ground and the dam break on a dry ground. Accurate experimental data are available as well as a theoretical solution under certain conditions.
TEST-CASE NO 19: SHOCK-BUBBLE INTERACTION (PN)
117-120
10.1615/MultScienTechn.v16.i1-3.190
S.
Kokh
DEN/DM2S/SFME/LETR, CEA/Saclay, 91191 Gif-sur-Yvette, France
G.
Allaire
CMAP, Ecole Poly technique, 91128 Palaiseau Cedex, France
This test case concerns the propagation of a shock through a helium gas bubble in air. The shape of the helium bubble and the pressure downstream from its position should be compared with available experimental data.
TEST-CASE NO 21: GAS BUBBLE BURSTING AT A FREE SURFACE, WITH JET FORMATION (PN-PE)
121-127
10.1615/MultScienTechn.v16.i1-3.200
S.-C.
Georgescu
Hydraulic Dept., Polytechnical University of Bucharest, 313 Spl. Independentei, S6, code 060032, Bucharest, Romania
E.
Canot
IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
The bursting of a gas bubble, initially in equilibrium under a gas-liquid interface can be studied in an axisymmetric geometry. Gravity and surface tension forces tend to focus the surface waves into a rising jet of liquid. The jet apex velocity, the interface shape and the radius of the first ejected droplet should be compared with available accurate numerical simulations or experimental data.
TEST-CASE NO 22: AXISYMMETRIC BODY EMERGING THROUGH A FREE SURFACE(PE)
129-133
10.1615/MultScienTechn.v16.i1-3.210
E.
Canot
IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France
E.
Hervieu
Comissariat a l’Energie Atomique, Laboratoire d’Etude Fondamentales, Service de Thermohydraulique pour les Applications Industrielles, Centre d'etudes Nucleaire de Grenoble, 38041, Grenoble Cedex, France
A.
Cartellier
LEGI, BP 53, 38041 Grenoble Cedex 9, France
This test case concerns the deformation of a free surface by the approach of a cylindrical rod topped by a hemispherical apex. The position of the interface may be compared with available experimental data.
TEST-CASE NO 23: RELATIVE TRAJECTORIES AND COLLISION OF TWO DROPS IN A SIMPLE SHEAR FLOW (PA)
135-142
10.1615/MultScienTechn.v16.i1-3.220
F.
Pigeonneau
Saint-Gobain Recherche, BP 135 - 39 quai Lucien Lefranc, 93303 Aubervilliers Cedex, France
Francois
Feuillebois
LIMSI-CNRS, BP 133, F-91403 Orsay Cedex, France
N.
Coutris
INPG/ENSPG and DER/SSTH/LMDL CEA/Grenoble, 38054 Grenoble Cedex 9, France
The problem is restricted to the motion of two spherical drops of equal size embedded in a simple shear flow. The challenge is to predict the trajectories of the drops and the time when they collide. An analytical solution is available under certain conditions.
TEST-CASE NO 24: GROWTH OF A SMALL BUBBLE IMMERSED IN A SUPERHEATED LIQUID AND ITS COLLAPSE IN A SUBCOOLED LIQUID (PE,PA)
143-158
10.1615/MultScienTechn.v16.i1-3.230
Herve
Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
This test case describes the theoretical solutions of three simple free boundary problems: the collapse of a vapor bubble in a subcooled liquid, the initial stage of the growth of a vapor bubble in a superheated liquid, and finally, the thermally controlled growth of a vapor bubble. It is requested to compute the bubble radius as well as the interface temperature and speed of displacement.
TEST-CASE NO 26: DROPLET IMPACT ON HOT WALLS (PA)
159-164
10.1615/MultScienTechn.v16.i1-3.240
Olivier
Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France
Jean-Luc
Estivalezes
ONERA, the French Aerospace Lab, Toulouse, France
A generator shoots droplets onto a heated plate inclined with respect to the trajectory of the droplets. The droplets rebound and evaporate. Given the physical properties of the liquid, the velocity, the diameter and the temperature of the impacting droplet, as well as the inclination and the temperature of the plate, the numerical simulation should predict the diameter and the surface temperature of the droplet after rebound.
TEST-CASE NO 27: INTERFACE TRACKING BASED ON AN IMPOSED VELOCITY FIELD IN A CONVERGENT-DIVERGENT CHANNEL (PN)
165-170
10.1615/MultScienTechn.v16.i1-3.250
Stephane
Vincent
Laboratoire de Modélisations et Simulations Multi-Echelle, Université Paris-Est Marne-la-Vallée, France.
D.
Lakehal
ASCOMP GmbH, Technoparkstrasse 1, CH-8005 Zurich, Switzerland
H.
Friess
Institute of Energy Technology, ETH-Zentrum/CLT, CH-8092 Zürich, Switzerland
A solenoidal velocity field is imposed in a two-dimensional converging-diverging channel. An initially circular bubble passing through the throat is strongly deformed. The numerical simulation should predict the shape of the distorted bubble in the throat and downstream from the throat.
TEST-CASE NO 28: THE LOCK-EXCHANGE FLOW (N, PA)
171-175
10.1615/MultScienTechn.v16.i1-3.260
Herve
Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France
D.
Lakehal
ASCOMP GmbH, Technoparkstrasse 1, CH-8005 Zurich, Switzerland
The lock flow consists of two immiscible fluids initially stagnant in a two-dimensional rectangular channel, and separated by a gate. Mutual penetration develops after the gate is suddenly withdrawn and two gravity driven fronts propagate along the upper and lower surfaces of the channel. It is proposed to calculate the front propagation velocities and run-out lengths as functions of time.
TEST-CASE NO 29A: THE VELOCITY AND SHAPE OF 2D LONG BUBBLES IN INCLINED CHANNELS OR IN VERTICAL TUBES (PA, PN) PART I: IN A STAGNANT LIQUID
177-189
10.1615/MultScienTechn.v16.i1-3.270
Ha-Ngoc
Hien
Institute of Mechanics, 264 Doi Can, Hanoi, Vietnam
J.
Fabre
Insitut National Polytechnique de Toulouse, Institut de Mechanique des Fluides (UA CNRS 005), Av. C. Soula 31400, Toulouse, France
It is proposed to determine the velocity and shape of a two-dimensional long bubble moving in an inclined channel or in a vertical tube filled up with a stagnant liquid. The results may be compared to analytical or numerical solutions and to experimental data.
TEST-CASE NO 29B: THE VELOCITY AND SHAPE OF 2D LONG BUBBLES IN INCLINED CHANNELS OR IN VERTICAL TUBES (PA, PN) PART II: IN A FLOWING LIQUID
191-206
10.1615/MultScienTechn.v16.i1-3.280
Ha-Ngoc
Hien
Institute of Mechanics, 264 Doi Can, Hanoi, Vietnam
J.
Fabre
Insitut National Polytechnique de Toulouse, Institut de Mechanique des Fluides (UA CNRS 005), Av. C. Soula 31400, Toulouse, France
It is proposed to determine the velocity and shape of a two-dimensional long bubble moving in an inclined channel or in a vertical tube. In this test case a liquid moves with a uniform velocity within the tube. The results may be compared to analytical or numerical solutions and to experimental data.
TEST CASE NO 30: UNSTEADY CAVITATION IN A VENTURI TYPE SECTION (PN)
207-218
10.1615/MultScienTechn.v16.i1-3.290
B.
Stutz
CETHIL/INSA, 9 rue de la Physique, 69621 Villeurbanne Cedex, France
O.
Coutier-Delgosha
ENSTA - UER de Mecanique, 91761 Palaiseau, France
R.
Fortes-Patella
LEGI/INPG, BP53, 38041 Grenoble Cedex 9, France
J.-L.
Reboud
LEMD/UJF, BP166, 38042 Grenoble Cedex 9, France
The challenge consists in simulating the unsteady behavior of cavitation pockets formed at the throat of a converging-diverging channel. Comparisons with existing numerical predictions and experimental data are suggested.
TEST-CASE NO 31: REORIENTATION OF A FREE LIQUID INTERFACE IN A PARTLY FILLED RIGHT CIRCULAR CYLINDER UPON GRAVITY STEP REDUCTION (PE)
219-238
10.1615/MultScienTechn.v16.i1-3.300
M.
Michaelis
EADS SPACE Transportation GmbH, P.O. Box 28 61 56, 28361 Bremen, Germany
M. E.
Dreyer
ZARM, University of Bremen, 28359 Bremen, Germany
A vertical cylinder of small diameter containing a gas and a liquid separated by a smooth interface is released from the top of a drop tower. It is suggested to determine the initial shape of the interface and its evolution during the fall of the cylinder. Wettability effects should be accounted for. Comparisons with experimental data are proposed.
TEST-CASE NO 33: PROPAGATION OF SOLITARY WAVES IN CONSTANT DEPTHS OVER HORIZONTAL BEDS (PA, PN, PE)
239-250
10.1615/MultScienTechn.v16.i1-3.310
Pierre
Lubin
TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607, Pessac Cedex, France
Herve
Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France
It is proposed to simulate the propagation of solitary waves in three different configurations. It is required to check that the solitary wave maintains its original shape when it propagates, and to plot the velocity profiles along the depth during the wave propagation. Comparisons with experimental data and accurate numerical simulations should be performed.
TEST-CASE NO 34: TWO-DIMENSIONAL SLOSHING IN CAVITY - AN EXACT SOLUTION (PA)
251-257
10.1615/MultScienTechn.v16.i1-3.320
Jean-Luc
Estivalezes
ONERA, the French Aerospace Lab, Toulouse, France
G.
Chanteperdrix
DTIM, ONERA, 2 Av Edouard Belin, BP 4025, 31055 Toulouse Cedex, France
Two layers of different fluids are superimposed in a two-dimensional rectangular cavity. The lighter fluid is above the heavier one. Initially both fluids are at rest. Then the cavity is submitted to an horizontal time dependent acceleration. Exact solutions are provided for Heaviside and square step accelerations.
TEST-CASE NO 35: FLOW RATE LIMITATION IN OPEN CAPILLARY CHANNELS (PE)
259-271
10.1615/MultScienTechn.v16.i1-3.330
A.
Ohlhoff
ZARM, University of Bremen, 28359 Bremen, Germany
U.
Rosendahl
ZARM, University of Bremen, 28359 Bremen, Germany
M. E.
Dreyer
ZARM, University of Bremen, 28359 Bremen, Germany
This test case concerns a liquid bridge flowing between two parallel plates in microgravity. It is proposed to determine the shape of the interface as a function of the liquid flow rate and the critical flow rate corresponding to the bridge collapse. Detailed and accurate experimental data are provided.
TEST-CASE NO 36: KELVIN-HELMHOLTZ INSTABILITY (PA)
273-280
10.1615/MultScienTechn.v16.i1-3.340
Iztok
Tiselj
Reactor Engineering Division, Institut Jozef Stefan, Slovenia
L.
Strubelj
"Jozef Stefan" Institute, Jamova 39, 1000 Ljubljana, Slovenia
Ivan
Bajsic
Laboratory of Measurements in Process Engineering, Faculty of Mechanical Engineering, Askerceva 6, Ljubljana, Slovenia
The geometry of the experiment proposed as a benchmark is a glass channel of rectangular cross section that contains two immiscible fluid of different densities. The channel is suddenly tilted at a small angle from the horizontal and a Kelvin-Helmholtz instability develops under certain conditions. It is suggested to compare the numerical simulation with the experimental values of the most unstable wave number, the starting time and the growth rate of the instability, and the wave speed.