Suction Vortices in a Pump Sump—Their Origin, Formation, and Dynamics

2020 ◽  
Vol 142 (3) ◽  
Author(s):  
Yoshinobu Yamade ◽  
Chisachi Kato ◽  
Takahide Nagahara ◽  
Jun Matsui

Abstract The origin, formation mechanism, and dynamics of suction vortices in a pump sump have been clarified by large eddy simulation (LES) applied to two different computational models. The first one is a pump-sump model with uniform flow entering a water channel of rectangular cross section and a vertical suction (outlet) pipe installed at its downstream end. LES with different wall boundary conditions have revealed that the origin of a submerged vortex is the mean shear of the approaching boundary layers that develop on the bottom and side walls of the sump. Detailed investigations have revealed that deviation of the mean flow triggers conversion of the vorticity axis to the vertical direction. The local acceleration of the vertical flow stretches the aforementioned vertical vortex, which results in the formation of a submerged vortex. The second one is a simplified computational model composed of a paraboloid of revolution and aims to accurately simulate the stretch of the viscous core of a submerged vortex that has appeared under the suction pipe of the pump-sump model. The differences between the models, especially predictions of the minimum pressure, imply that cavitation could have been initiated in the viscous core, if it had been taken into account, as is observed in the pump-sump experiment at the same condition. Parametric studies with different initial swirl numbers from 0.12 to 16.3 have clarified the behavior of the submerged vortex. It was found that a strong submerged vortex appears only at a relatively small range of the swirl numbers from 1.25 to 3.

2001 ◽  
Vol 442 ◽  
pp. 141-155 ◽  
Author(s):  
ALEXANDER A. NEPOMNYASHCHY ◽  
ILYA B. SIMANOVSKII ◽  
LEONID M. BRAVERMAN

The stability of a two-layer return thermocapillary flow in the presence of an inclined temperature gradient is investigated. Both a linear stability analysis and nonlinear simulations have been performed for an air–water system. It is found that a rather weak deviation of the mean temperature gradient from the vertical direction suppresses Pearson's instability mechanism and leads to the appearance of oblique hydrothermal waves. In a certain region of parameters, transverse convective rolls drifting with the mean flow appear.


2008 ◽  
Vol 38 (5) ◽  
pp. 1122-1130 ◽  
Author(s):  
Göran Broström ◽  
Kai Håkon Christensen ◽  
Jan Erik H. Weber

Abstract In this study the influence of surface waves on the mean flow in an ocean of arbitrary depth is examined. The wave-induced forcing on the mean flow is obtained by integrating the Eulerian equations for mass and momentum balance from the bottom to an undulating material surface within the water column. By using the mean position of the material surface as the vertical coordinate, the authors obtain the depth dependence of the mean flow and the wave-induced forcing. Substitution of the vertical coordinate makes the model Lagrangian in the vertical direction. The model is Eulerian in the horizontal direction, allowing one to model the effects of a spatially nonuniform wave field or varying depth in a straightforward way.


1992 ◽  
Vol 238 ◽  
pp. 699-722 ◽  
Author(s):  
P. A. Durbin ◽  
S. E. Belcher

An asymptotic analysis is developed for turbulent boundary layers in strong adverse pressure gradients. It is found that the boundary layer divides into three distinguishable regions: these are the wall layer, the wake layer and a transition layer. This structure has two key differences from the zero-pressure-gradient boundary layer: the wall layer is not exponentially thinner than the wake; and the wake has a large velocity deficit, and cannot be linearized. The mean velocity profile has a y½ behaviour in the overlap layer between the wall and transition regions.The analysis is done in the context of eddy viscosity closure modelling. It is found that k-ε-type models are suitable to the wall region, and have a power-law solution in the y½ layer. The outer-region scaling precludes the usual ε-equation. The Clauser, constant-viscosity model is used in that region. An asymptotic expansion of the mean flow and matching between the three regions is carried out in order to determine the relation between skin friction and pressure gradient. Numerical calculations are done for self-similar flow. It is found that the surface shear stress is a double-valued function of the pressure gradient in a small range of pressure gradients.


1991 ◽  
Vol 227 ◽  
pp. 667-688 ◽  
Author(s):  
J. C. R. Hunt ◽  
F. Tampieri ◽  
W. S. Weng ◽  
D. J. Carruthers

The third Euromech Colloquium on this topic was held at FISBAT in Bologna in August 1990, in succession to those in 1979 at Munich (No. 113) and 1983 at Delphi (No. 173). About 30 participants came from 10 countries. At the Colloquium it became clear that there have been some significant developments since 1983 in theoretical analysis, computational modelling and field experiments, with new kinds of measurement. As well as papers on improvements in the quantification and understanding of the main, well-known features of these flows, there were also papers on phenomena that had not previously been studied; for example new computations of flows over undulating surfaces driven by buoyancy forces, caused by heating the surface, showed that secondary flows are produced with vorticity parallel to the undulations, while wind tunnel experiments on flows perpendicular to the crests showed secondary flow with vorticity perpendicular to the crests, and with a scale consistent with Craik's (1982) theory which predicted these novel kinds of Langmuir cells. The magnitude of the net drag force on undulating surfaces in neutrally stratified turbulent flows now appears to be moderately well established by different methods, including computations, laboratory experiments, and theoretical analyses. These have clarified the relative magnitudes of a number of contributing mechanisms. The role of Coriolis accelerations (f) in atmospheric flow over simple terrain features (lengthscale L, height H) on the mesoscale (order 30 km upwards) is now better understood. For stratified air flow impinging onto hills rising from a flat plain the Rossby radius (lR = HN/f) is the relevant lengthscale (where N is the buoyancy frequency), but in neutral or convective conditions, such as those which occur when southerly winds are channelled down the Rhine valley, the turning of the wind on a scale of the terrain less than the Rossby radius can also be significantly influenced by Coriolis accelerations.The recent field measurements by Doppler-sodar (which are installed in several French power stations) produce useful data for comparing with computational models; they also emphasize the need to solve the theoretical question of how best to combine model calculations and measurements within the flow field that exceed the number required to specify the flow in the model. Models of the mean flow and the turbulence have improved to the extent that they can be used in other scientific and practical problems, such as being incorporated into models of dispersion of pollutants, or in models of microphysics and chemical processes in polluted clouds over hills.Following the Colloquium an ERCOFTACt Workshop was held in which the computer codes of such models were presented and compared in detail. It was decided that i t is necessary to have a systematic intercomparison of such codes, and also detailed comparisons with the extensive sets of data now available from recent field and laboratory experiments.The wide range of scales that occur in these complex atmospheric flows (10−2 m to 105 m) all have to be considered and calculated in detail, because simple assumptions about the flow (such as that the mean velocity has a logarithmic profile up to a significant height above the surface) are erroneous. Computational models were described that range in complexity from those based on analytical solutions (at low computational cost) to those based on solving discretized equations with large variations in grid sizes to accommodate the range of scales. Novel interactive software was used that enables graphs from different models to be requested and then rapidly displayed simultaneously on a screen for comparisons to be made. This software opens out significant new possibilities for scientific meetings and workshops involving computational fluid dynamics.


1985 ◽  
Vol 50 (11) ◽  
pp. 2396-2410
Author(s):  
Miloslav Hošťálek ◽  
Ivan Fořt

The study describes a method of modelling axial-radial circulation in a tank with an axial impeller and radial baffles. The proposed model is based on the analytical solution of the equation for vortex transport in the mean flow of turbulent liquid. The obtained vortex flow model is tested by the results of experiments carried out in a tank of diameter 1 m and with the bottom in the shape of truncated cone as well as by the data published for the vessel of diameter 0.29 m with flat bottom. Though the model equations are expressed in a simple form, good qualitative and even quantitative agreement of the model with reality is stated. Apart from its simplicity, the model has other advantages: minimum number of experimental data necessary for the completion of boundary conditions and integral nature of these data.


2019 ◽  
Vol 23 (10) ◽  
pp. 4323-4331 ◽  
Author(s):  
Wouter J. M. Knoben ◽  
Jim E. Freer ◽  
Ross A. Woods

Abstract. A traditional metric used in hydrology to summarize model performance is the Nash–Sutcliffe efficiency (NSE). Increasingly an alternative metric, the Kling–Gupta efficiency (KGE), is used instead. When NSE is used, NSE = 0 corresponds to using the mean flow as a benchmark predictor. The same reasoning is applied in various studies that use KGE as a metric: negative KGE values are viewed as bad model performance, and only positive values are seen as good model performance. Here we show that using the mean flow as a predictor does not result in KGE = 0, but instead KGE =1-√2≈-0.41. Thus, KGE values greater than −0.41 indicate that a model improves upon the mean flow benchmark – even if the model's KGE value is negative. NSE and KGE values cannot be directly compared, because their relationship is non-unique and depends in part on the coefficient of variation of the observed time series. Therefore, modellers who use the KGE metric should not let their understanding of NSE values guide them in interpreting KGE values and instead develop new understanding based on the constitutive parts of the KGE metric and the explicit use of benchmark values to compare KGE scores against. More generally, a strong case can be made for moving away from ad hoc use of aggregated efficiency metrics and towards a framework based on purpose-dependent evaluation metrics and benchmarks that allows for more robust model adequacy assessment.


2021 ◽  
Vol 108 ◽  
pp. 106377
Author(s):  
Mohammed Faheem ◽  
Aqib Khan ◽  
Rakesh Kumar ◽  
Sher Afghan Khan ◽  
Waqar Asrar ◽  
...  

Fluids ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 162 ◽  
Author(s):  
Thorben Helmers ◽  
Philip Kemper ◽  
Jorg Thöming ◽  
Ulrich Mießner

Microscopic multiphase flows have gained broad interest due to their capability to transfer processes into new operational windows and achieving significant process intensification. However, the hydrodynamic behavior of Taylor droplets is not yet entirely understood. In this work, we introduce a model to determine the excess velocity of Taylor droplets in square microchannels. This velocity difference between the droplet and the total superficial velocity of the flow has a direct influence on the droplet residence time and is linked to the pressure drop. Since the droplet does not occupy the entire channel cross-section, it enables the continuous phase to bypass the droplet through the corners. A consideration of the continuity equation generally relates the excess velocity to the mean flow velocity. We base the quantification of the bypass flow on a correlation for the droplet cap deformation from its static shape. The cap deformation reveals the forces of the flowing liquids exerted onto the interface and allows estimating the local driving pressure gradient for the bypass flow. The characterizing parameters are identified as the bypass length, the wall film thickness, the viscosity ratio between both phases and the C a number. The proposed model is adapted with a stochastic, metaheuristic optimization approach based on genetic algorithms. In addition, our model was successfully verified with high-speed camera measurements and published empirical data.


Energies ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3625
Author(s):  
Jon Hardwick ◽  
Ed B. L. Mackay ◽  
Ian G. C. Ashton ◽  
Helen C. M. Smith ◽  
Philipp R. Thies

Numerical modeling of currents and waves is used throughout the marine energy industry for resource assessment. This study compared the output of numerical flow simulations run both as a standalone model and as a two-way coupled wave–current simulation. A regional coupled flow-wave model was established covering the English Channel using the Delft D-Flow 2D model coupled with a SWAN spectral wave model. Outputs were analyzed at three tidal energy sites: Alderney Race, Big Roussel (Guernsey), and PTEC (Isle of Wight). The difference in the power in the tidal flow between coupled and standalone model runs was strongly correlated to the relative direction of the waves and currents. The net difference between the coupled and standalone runs was less than 2.5%. However, when wave and current directions were aligned, the mean flow power was increased by up to 7%, whereas, when the directions were opposed, the mean flow power was reduced by as much as 9.6%. The D-Flow Flexible Mesh model incorporates the effects of waves into the flow calculations in three areas: Stokes drift, forcing by radiation stress gradients, and enhancement of the bed shear stress. Each of these mechanisms is discussed. Forcing from radiation stress gradients is shown to be the dominant mechanism affecting the flow conditions at the sites considered, primarily caused by dissipation of wave energy due to white-capping. Wave action is an important consideration at tidal energy sites. Although the net impact on the flow power was found to be small for the present sites, the effect is site specific and may be significant at sites with large wave exposure or strong asymmetry in the flow conditions and should thus be considered for detailed resource and engineering assessments.


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