Hydrodynamics of the rivulet flow over corrugated sheet used in structured packings
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Singh, Rajesh K.↗
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Breakup of a liquid rivulet falling over an inclined plate: Identification of a critical Weber number
Here, we have numerically investigated the breakup of a rivulet falling over a smooth inclined plate using the volume of fluid method. The breakup the rivulet is a complex phenomenon that is dictated by many factors, such as solvent properties, contact angle, inertia, plate inclination, etc. An extensive simulation campaign was conducted wherein these factors were systematically investigated. Regimes for a stable rivulet and an unstable rivulet that leads to the breakup and formation of a droplet are examined in terms of a critical value of the Weber number (We cr ) that delineates these regimes. The effect of plate inclination on the breakup of the rivulet shows that the critical Weber number decreases with increased inclination angle (θ) owing to higher liquid velocity. However, the effect is negligible beyond θ > 60°. The impact of solvent properties is characterized using the Kapitza number (Ka). Variation of We cr with Ka shows two trends depending on the Ka value of the solvent. Solvents with lower Ka values, corresponding to high viscosities and/or low surface tensions, show smaller values of the critical Weber number and the variation is linear. While solvents with higher Ka values exhibit higher values of the We cr and the variation in We cr is steep. This behavior is more pronounced with increasing contact angle. Higher contact angles promote rivulet breakup so that inertia must be higher to the breakup. As a result, a phenomenological scaling for a critical Weber number with the Kapitza number and contact angle is presented that can offer insight into rivulet breakup.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Three-dimensional simulation of rivulet and film flows over an inclined plate: Effects of solvent properties and contact angle
This is the paper we drafted based on CCSI Task 3 work on wetted area prediction with volume of fluids method.
Singh, Rajesh K.↗
Extremely rapid, Lagrangian modeling of 2D flooding: A rivulet-based approach
Estimates of potential flood inundation areas and depths are critical to informing the preparedness, response, and investment decisions of many government agencies and private sector organizations, especially under a changing climate. The standard modeling approaches, however, are often either computationally intensive or constrained in their accuracy or applicability. A novel, rivulet-based, 2D model of pluvial flooding is described in this article that is 10,000 to 10 million times less computationally complex than the full solution of the shallow water equations, yet achieves inundation area hit rates of between 0.8 and 0.9 and relative absolute mean errors of 10%-20% across a wide range of flow depths. This combination of accuracy and efficiency will enable real-time depth estimates during flood events, detailed sensitivity analyses, and the generation of large ensembles to support broad uncertainty analyses.
54 ENVIRONMENTAL SCIENCES↗
Analytical model for balling defects in laser melting using rivulet theory and solidification
In laser welding and additive manufacturing communities, the balling (humping) defect is primarily attributed to the Plateau–Rayleigh fluid instability (PRI) with a few authors suggesting fluid jetting and volume conservation as alternative mechanisms. As analytical descriptions of these mechanisms are unavailable, combining them into a single formalism is unfeasible. We present a new model of PRI with higher accuracy, accounting for competition with solidification, to compare the expected behavior with known experimental trends when fluid jetting is neglected. We adapt a rivulet instability model from fluid physics to account for the stabilizing effects of the substrate, which the traditional cylindrical-jet geometry does not account for and estimate the instability growth rate. Our model yields a continuous transition from non-balling to balling hitherto lacking in current literature and predicts instability growth at higher wavelengths with strong sensitivity to the solidification front curvature. While the fluid surface is most unstable for shallow melt pools, the absolute magnitude of balling relevant to printing defects scales with melt pool depth and has a maximum for a given melt pool geometry. Synchrotron-based x-ray radiography of thin samples indicates that PRI growth rates and solidification can be comparable in magnitude and thus compete, as we find in this work. We predict that deviations between model predictions and our experimental results demonstrate the importance of fluid flows and heat transport in the balling process. Our experiments further demonstrate at least one mechanism by which the melt pool length and the balling wavelength are not equivalent, as commonly claimed.
Taylor, Z. [Stanford Univ., CA (United States); SL↗
Breakup of Rivulet Falling Over an Inclined Plate
Presented by NETL at APS Division of Fluid Dynamics, 11/16
Singh, Rajesh-Kumar↗
Effect of Unsaturated Flow Modes on Partitioning Dynamics of Gravity-Driven Flow at a Simple Fracture Intersection: Laboratory Study and Three-Dimensional Smoothed Particle Hydrodynamics Simulations
In this work, we study unsaturated gravity-driven free-surface flows on a synthetic surface intersected by a horizontal fracture and the importance of flow modes (droplet; rivulet) on the partitioning behavior at the fracture intersection. We present laboratory experiments, three-dimensional smoothed particle hydrodynamics (SPH) simulations using a heavily parallelized code, and an analytical solution. The flow-rate-dependent mode switching from droplets to rivulets is reproduced by the SPH model, and the transition ranges agree with the laboratory experiments. We show that flow modes heavily influence the bypass behavior. Flows favoring the formation of droplets exhibit a much stronger bypass capacity compared to rivulet flows, where nearly the whole fluid mass is initially stored within the horizontal fracture. This behavior is demonstrated for a multi-inlet laboratory setup where the inlet- specific flow rate is chosen so that either a droplet or rivulet flow persists. The effect of fluid buffering within the horizontal fracture is presented in terms of dimensionless fracture in- flow so that characteristic scaling regimes can be recovered. For both cases (rivulets and droplets), the flow within the horizontal fracture transitions into a Washburn regime until a critical threshold is reached and the bypass efficiency increases. For rivulet flows, the initial filling of the horizontal fracture is described by classical plug flow. Meanwhile, for droplet flows, a size-dependent partitioning behavior is observed, and the filling of the fracture takes longer. For the case of rivulet flow, we provide an analytical solution that demonstrates the existence of classical Washburn flow within the horizontal fracture.
unsaturated flow, fractured media, smoothed partic↗
Initial Argonne Sodium Draining Tests: Analysis of Test Results and Comparison with Water Draining Behavior
Three initial sodium draining experiments have been carried out in which sodium was drained from a 0.46 m high 4.6 mm inner diameter vertical stainless steel tube wetted by the sodium representative of a sodium channel in a compact diffusion-bonded sodium-to-CO 2 heat exchanger. Prior to the startup of sodium testing, shakedown tests were conducted with water. In all three sodium experiments, the sodium drained efficiently from the channel. Sodium and water both drain efficiently from a 4.6 mm inner diameter vertical stainless steel tube. This is an important and good result for the design of compact diffusion-bonded heat exchanger sodium channels. Sodium drains more efficiently than water. This is also an important and good result for the design of compact diffusion-bonded heat exchanger sodium channels. The draining phenomena observed with sodium and water are significantly different. The draining of water involves an initial rapid slug draining phase followed by a linear rate draining phase followed by a slow draining phase involving draining of rivulets and drops. This behavior has previously been reported in the literature for viscous fluids. The draining of sodium involves an initial rapid slug draining phase but no discernable linear rate draining phase. There is a subsequent slow draining phase. However, unlike the slow draining phase with water that involves a number of rivulets and drops, the slow draining phase with sodium in two out of three sodium tests mainly involves a single discrete event in which a mass of sodium drains from the tube. This single discrete draining event encompasses most of the sodium mass remaining inside of the tube following the rapid slug draining phase. The existence of a single discrete draining event during the slow draining phase with sodium versus several rivulet and drop draining events with water is thought to simply reflect the fact that significantly lower mass fractions of liquid are left behind inside of the tube following the rapid slug draining phase with sodium relative to water. For the sodium tests, the progress of wetting of the stainless steel by sodium was monitored by means of the voltage drop across the tube outer diameter measured by pairs of opposing electrodes welded to the tube outer surface at three different elevations. The electrode data remarkably reveals phenomena during the sodium draining. The downward passage of the sodium slug trailing edge past each electrode was observed from which a mean slug trailing edge velocity could be determined. The subsequent slower increase in voltage drop suggests draining and thinning of a sodium film left behind upon the tube inner surface; wiggles in the voltage drop data are suggestive of the descent of waves on the film. It is thought that the draining sodium film collects as a mass likely near the lower end of the tube and detaches corresponding to the single discrete draining event observed in the load cell data. The minimum circular channel inner diameter for the draining of water and sodium without the formation of lenses that bridge the channel and may remain inside of the tube without draining is predicted with a correlation to be 2.2 mm. The highest priority for future sodium draining testing is to investigate other channel geometries such as a rectilinear channel or a semicircular channel.
22 GENERAL STUDIES OF NUCLEAR REACTORS↗
Modeling of Water Film Formation on a Stay-Cable
With the increasing popularity of cable-stayed bridges in the past few decades, longer spans are being constructed using ever-longer stay cables. Under certain conditions, especially during construction, and wind and rain-wind events, the cables of cable-stayed bridges may undergo large amplitude vibrations. This type of vibration has been of concern to researchers and engineers because large amplitude vibration can induce excessive stresses and therefore threaten the safety and integrity of bridge structures. Figure 1-1 presents an example of a stay cable bridge structure, The Cooper River Bridge. Many countermeasures for the wind-rain induced vibrations have been developed to decrease the amplitude of the vibrations and consequently, the fatigue of the cables. One of the methods is to install helical fillets on the cable surface. A sketch of a cable with two fillets wrapped around it is shown in Figure 1-2. The main objective of the present study is to develop and test computational methodologies, with the use of computational fluid dynamics (CFD), that model the interaction of rain with stay cables including: the formation of water film, development of rainwater rivulets, and rivulet behavior under various conditions with and without wind. Interaction of water with cables with and without fillets is analyzed, and results are presented in this report. This study is divided into two parts. The first part of this study, Section 4, explores methods of modeling water film formation and flow on cables. A series of simulations using the Reynolds averaged Navier-Stokes equations turbulence model (RANS) and large eddy simulation (LES) model are performed to analyze water film formation and flow on a cable using the fluid film model in STARCCM+ [(b)1]. Various methods of setting up initial and boundary conditions are tested, especially boundary conditions for introducing rain into the domain. The second part of the study, Section 5, explores upper rivulet formation in the presence of wind, based on the findings from the first part of the study. In that section, LES simulation with the Volume Of Fluid model for the free surface is used. Also, various results for cases with and without water film on the cable are presented and compared.
42 ENGINEERING↗
Designing slippery rough surfaces to enhance dropwise condensation of low surface tension fluid
Enhancing low surface tension liquid condensation is critical for achieving high energy efficiency and reducing the size of thermal energy systems. Extensive research has focused on promoting dropwise condensation of these liquids using state-of-the-art coatings on plain surfaces. However, maintaining dropwise condensation with low surface tension fluids is challenging due to rivulet formation, resulting in wetted tails that transition to filmwise condensation at elevated heat fluxes. Here, to address this issue, we uncover the role of surface structures and surface chemistry in the dropwise condensation of low surface tension ethanol on slippery rough surfaces (SRS). High-performance dropwise condensation has been achieved on slippery microchannels grafted with perfluoropolyether. The SRS uniquely facilitates rapid lateral droplet removal, enabling faster directional droplet shedding without rivulet formation. The resulting higher droplet removal frequency on SRS leads to heat transfer coefficients 100 % and 500 % higher than conventional dropwise and filmwise condensation on plain surfaces, respectively. Our findings uncover the pivotal role of rapid droplet removal through slippery microchannels in sustaining dropwise condensation of low surface tension liquids. This study introduces a new paradigm for promoting dropwise condensation using engineered SRS that incorporates surface structure and surface chemistry. The work will provide fundamental design guidelines to design efficient and compact condensers that use costly or flammable low global warming potential refrigerants in future refrigeration systems.
Dropwise condensation↗
Multiphase flow studies for microscale hydrodynamics in the structured packed column
Post combustion carbon capture by solvent absorption in a structured packed column is a promising technology for mitigating greenhouse gas emissions. Computational fluid dynamic (CFD) modelling of such a column is a challenging multiscale problem due to the range in length and time scales. The microscale hydrodynamics play a key role in the overall column efficiency with the interfacial area significantly influencing the mass transfer between the gas and liquid phases. In this context, multiphase flow simulations using the volume of fluid (VOF) method in a representative elementary unit (REU) of the packed column can provide fundamental insights into the microscale hydrodynamics, such as, interfacial area and liquid holdup. The present paper systematically examines the impact of various factors (e.g., physical properties and contact angle) on the interfacial area. The results are compared with existing correlations and a scaling analysis is also performed. The solvent physical properties are characterized by the Kapitza number (Ka), a dimensionless number that depends only on fluid properties. So that the Ka number decreases with increasing viscosity. At a fixed liquid load, the interfacial area and liquid holdup are observed to increase with decreasing Ka number. The impact of contact angle (i.e., solid surface characteristics) is effectively investigated by modifying the wall boundary conditions. The interfacial area and liquid holdup are found to decrease with increasing contact angle. Subsequently, a phenomenological correlation for interfacial area is proposed that includes the impact of these parameters. Finally, this correlation may be used to predict the interfacial area for gas-liquid flow in a structured packing for rivulet to fully wetted flow regimes.
42 ENGINEERING↗
DOE-ICoM/Torrent.jl
Computationally efficient flood simulation using Lagrangian rivulets.
Daniel, Brent [Pacific Northwest National Laborato↗