Simulation of Air Entrapment by a Plunging Liquid Jet of Finite Length

Volume 1 ◽  
2004 ◽  
Author(s):  
Paul S. Krueger ◽  
Razvan Bidoae ◽  
Peter E. Raad
Keyword(s):  
Finite Length ◽  
Liquid Jet ◽  
Air Entrapment ◽  
Air Bubble ◽  
Pool Surface ◽  
Air Volume ◽  
Large Pool ◽  
Vorticity Generation ◽  
Simulation Results ◽  
Entrapped Air

The impingement of a finite length round water jet on a large pool of water was simulated numerically using a 3D Eulerian-Lagrangian Marker and Micro-Cell (ELMMC) method. The method allowed simulation of the initial impact of the jet on the pool surface, the deformation of the pool surface by the falling jet, and, under certain conditions, the entrapment of an air bubble as the pool closes in on the jet. The conditions considered were for ratios of jet length to radius (h/r) in the range of 4 to 25 and jet Froude number in the range of 16 to 74. The results agreed with previous experimental observations by Oguz et al. (J. Fluid Mech., 294, 1995) in terms of entrapped air volume and the possible geometries of entrapped bubbles (viz., toroidal or spheroidal). The simulation results also allowed for a detailed study of effects difficult to discern experimentally, such as vorticity generation and differences in entrapped air volume between toroidal and spheroidal bubbles.

Entrapment, stability, and persistence of air bubbles in soil water

Soil Research ◽  
1969 ◽  
Vol 7 (2) ◽  
pp. 79 ◽  
Author(s):  
AJ Peck
Keyword(s):  
Hydraulic Conductivity ◽  
Moisture Content ◽  
Soil Water ◽  
Unsaturated Soils ◽  
Equilibration Time ◽  
Air Bubbles ◽  
Air Entrapment ◽  
Water Characteristics ◽  
Spherical Bubbles ◽  
Entrapped Air

Air bubbles in soil water affect both hydraulic conductivity and moisture content at a given capillary potential. Consequently changes in the volume of entrapped air, which are not included in the specification of relationships between hydraulic conductivity, moisture content, and capillary potential, will affect all soil-water interactions. Current understanding of the process of air bubble entrapment during infiltration suggests that, in nature, significant air entrapment will often occur. It is shown that infiltrating water can dissolve only a very small volume of air, much less than the amount usually entrapped. Air bubbles in saturated soils are unstable since their pressure must exceed atmospheric, resulting in a diffusive flux of dissolved air from bubbles to menisci contacting the external atmosphere. However, stable bubbles are possible in unsaturated soils. Bubbles which are constrained by pore architecture to non-spherical shapes are usually stable, and spherical bubbles can be stable when the magnitude of the capillary potential exceeds about 3 bars. An approximate analysis of the characteristic time of bubble equilibration indicates that, in an example, it is of order 104 sec, but it may be greater or less by at least a factor 10. Since the equilibration time will be often at least as large as the period of significant soil temperature changes, it cannot be assumed that the entrapped air in a field soil is in an equilibrium state. In such circumstances unstable bubbles may be quasi-permanent. It is suggested that the slow growth of entrapped bubbles may account for the anomalously slow release of water observed in some outflow experiments. Changes of entrapped air volume may also account for the reported dependence of soil-water characteristics on the magnitude of the steps of capillary potential.

scholarly journals Simulation of Air Entrapment and Resin Curing During Manufacturing of Composite Cab Front by Resin Transfer Moulding Process

2017 ◽  
Vol 62 (3) ◽  
pp. 1839-1844 ◽  
Author(s):  
Raghu Raja Pandiyan Kuppusamy ◽  
S. Neogi
Keyword(s):  
Injection Pressure ◽  
Resin Transfer Moulding ◽  
Optimization Strategy ◽  
Air Entrapment ◽  
Cure Reaction ◽  
Filling Stage ◽  
Mould Filling ◽  
Cure Time ◽  
Simulation Results ◽  
Transfer Moulding

AbstractMould filling and subsequent curing are the significant processing stages involved in the production of a composite component through Resin Transfer Moulding (RTM) fabrication technique. Dry spot formation and air entrapment during filling stage caused by improper design of filling conditions and locations that lead to undesired filling patterns resulting in defective RTM parts. Proper placement of inlet ports and exit vents as well as by adjustment of filling conditions can alleviate the problems during the mould filling stage. The temperature profile used to polymerize the resin must be carefully chosen to reduce the cure time. Instead of trial and error methods that are expensive, time consuming, and non-optimal, we propose a simulation-based optimization strategy for a composite cab front component to reduce the air entrapment and cure stage optimization. In order to be effective, the optimization strategy requires an accurate simulation of the process utilizing submodels to describe the raw material characteristics. Cure reaction kinetics and chemo-rheology were the submodels developed empirically for an unsaturated polyester resin using experimental data. The simulations were performed using commercial software PAM RTM 2008, developed by ESI Technologies. Simulation results show that the use of increase in injection pressure at the inlet filling conditions greatly reduce the air entrapped. For the cab front, the alteration of injection pressure with proper timing of vent opening reduced the air entrapped during mould filling stage. Similarly, the curing simulation results show that the use of higher mould temperatures effectively decreases the cure time as expected.

scholarly journals High-speed X-ray imaging of a ball impacting on loose sand

2015 ◽  
Vol 777 ◽  
pp. 690-706 ◽  
Author(s):  
Tess Homan ◽  
Rob Mudde ◽  
Detlef Lohse ◽  
Devaraj van der Meer
Keyword(s):  
High Speed ◽  
Packing Fraction ◽  
Loose Sand ◽  
X Ray ◽  
Air Bubble ◽  
Cavity Collapse ◽  
X Ray Imaging ◽  
Custom Made ◽  
Set Up ◽  
Entrapped Air

When a ball is dropped in fine very loose sand, a splash and subsequently a jet are observed above the bed, followed by a granular eruption. To directly and quantitatively determine what happens inside the sand bed, high-speed X-ray tomography measurements are carried out in a custom-made set-up that allows for imaging of a large sand bed at atmospheric pressures. Herewith, we show that the jet originates from the pinch-off point created by the collapse of the air cavity formed behind the penetrating ball. Subsequently, we measure how the entrapped air bubble rises through the sand, and show that this is consistent with bubbles rising in continuously fluidized beds. Finally, we measure the packing fraction variation throughout the bed. From this we show that there is (i) a compressed area of sand in front of and next to the ball while the ball is moving down, (ii) a strongly compacted region at the pinch-off height after the cavity collapse and (iii) a relatively loosely packed centre in the wake of the rising bubble.

scholarly journals Numerical study on dynamic behavior of entrapped air in a partially filled pipe

2021 ◽  
Vol 83 (4) ◽  
pp. 771-780
Author(s):  
Hengliang Guo ◽  
Ye Guo ◽  
Biao Huang ◽  
Jiachun Liu
Keyword(s):  
Dynamic Behavior ◽  
Peak Pressure ◽  
Numerical Study ◽  
Relative Length ◽  
Time Duration ◽  
Initial Water ◽  
Pipe Length ◽  
System Parameters ◽  
Air Volume ◽  
Entrapped Air

Abstract Rapid filling in horizontal partially filled pipes with entrapped air may result in extreme pressure transients. This study advanced the current understanding of dynamic behavior of entrapped air above tailwater (the initial water column with a free surface in a partially filled pipe) through rigid-column modeling and sensitivity analysis of system parameters. Water and air were considered as incompressible fluid and ideal gas, respectively, and the continuity and momentum equations for water and a thermodynamic equation for air were solved by using the fourth order Runge-Kutta method. The effects of system parameters were examined in detail, including tailwater depth, entrapped air volume, driving head, pipe friction, and relative length of entrapped air and pipe. The results indicate that the presence of tailwater can mitigate the peak pressure when with identical initial volumes of entrapped air, as it can be considered to reflect a certain amount of loss of the net driving head. However, the peak pressure can increase as much as about 45% for the cases with fixed pipe length, due to the reduction in the initial entrapped air volume. The rise time for the first peak pressure was closely related to pipe friction, whereas the oscillation period (defined as the time duration between the first and second peaks) was virtually irrelevant. The applicability of the rigid-column model was discussed, and a time scale relevant indicator was proposed. When the indicator is larger than 20, the relative difference between the peak pressure estimation and experimental measurements is generally below 5%.

scholarly journals Tunable-Volume Handheld Pipette Utilizing a Pneumatic De-Amplification Mechanism

2014 ◽  
Author(s):  
Justin Beroz ◽  
Sheng Jiang ◽  
John Lewandowski ◽  
A. John Hart
Keyword(s):  
Liquid Volume ◽  
Leading Order ◽  
Air Volume ◽  
Accuracy And Precision ◽  
Extended Range ◽  
Piston Mechanism ◽  
Amplification Mechanism ◽  
Entrapped Air ◽  
Piston Stroke ◽  
Careful Design

We present the design, analysis, and validation of a tunable-volume handheld pipette that enables precise drawing and dispensing of ml and μl liquid volumes. The design builds upon the standard mechanism of a handheld micropipette by incorporating an elastic diaphragm that de-amplifies the volume displacement of the internal piston via compression of an entrapped air volume. The degree of de-amplification is determined by the stiffness of the elastic diaphragm and the amount of entrapped air. An analytical model of the diaphragm mechanism is derived, which guides how to achieve linear de-amplification over an extended range where leading-order nonlinear contributions are significant. In particular, nonlinearities inherent in the mechanical behavior of the diaphragm and entrapped air volume may exactly cancel one another by careful design of the pipette’s parameter constants. This linearity is a key attribute for enabling the pipette’s tunable volumetric range, as this allows diaphragms with different stiffnesses to be selectively used with a conventional linear-stepping piston mechanism. Design considerations regarding the range, accuracy, and precision of the proposed pipette are detailed based on the model. Additionally, we have constructed a handheld prototype that uses a planar latex sheet as the diaphragm. Our pipetting experiments validate the derived model and exhibit linearity between the piston stroke and drawn liquid volume. We propose that this design enables a single handheld mechanical pipette to achieve drawing and dispensing of liquids over a 1μl-10ml range (i.e., the range of the entire micropipette suite), with volumetric resolution and precision comparable to commercially available counterparts.

Impulsive Plunging Wave Breaking Downstream of a Bump in a Shallow Water Flume

2010 ◽  
Author(s):  
Bonguk Koo ◽  
Zhaoyuan Wang ◽  
Jianming Yang ◽  
Donghoon Kang ◽  
Frederick Stern
Keyword(s):  
Shallow Water ◽  
Wave Breaking ◽  
Breaking Wave ◽  
Maximum Height ◽  
Mean Flow ◽  
Fine Grid ◽  
Air Bubble ◽  
Jet Impact ◽  
Entrapped Air ◽  
Plunging Wave Breaking

The plunging wave-breaking process for impulsive flow over a bump in a shallow water flume is described using complementary experiments and simulations, which is relevant to ship hydrodynamics since it includes effect of wave-body interactions and wave breaking direction is opposite to the mean flow. Phase averaged measurements (relative to the time at which the maximum wave height is reached just before the first plunge) are conducted, including the overall flume flow and 2D PIV center-plane velocities and turbulence inside the plunging breaking wave and bottom pressures under the breaking wave. A total number of 226 individual plunging wave-breaking tests were conducted, which all followed a similar time line consisting of startup, steep wave formation, plunging wave, and chaotic wave breaking swept downstream time phases. The plunging wave breaking process consists of four repeated plunging events each with three [jet impact (plunge), oblique splash and vertical jet] sub-events, which were identified first using complementary CFD. Video images with red dye display the plunging wave breaking events and sub-events. The first and second plunges take longer than the last two plunges. Oblique splashes and vertical jets account for more time than plunging. The wave profile at maximum height, first plunge, bump and wave breaking vortex and entrapped air bubble trajectories, entrapped air bubble diameters, kinetic, potential, and total energy, and bottom pressures are analyzed. The simulations on four different grids qualitatively predict all four time phases, all four plunging events and their sub-events, and bottom pressure but with reduced velocity magnitudes and larger post-breaking water elevations. The medium grid results are presented and the fine grid simulations are in progress. Similarities and differences are discussed with the previous deep water or sloping beaches experimental and computational studies.

On the Numerical Prediction of Finite Length Squeeze Film Dampers Performance With Free Air Entrainment

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
Tilmer H. Méndez ◽  
Jorge E. Torres ◽  
Marco A. Ciaccia ◽  
Sergio E. Díaz
Keyword(s):  
Finite Length ◽  
Air Entrainment ◽  
Squeeze Flow ◽  
Squeeze Film ◽  
Air Entrapment ◽  
Film Rupture ◽  
Subsequent Formation ◽  
Squeeze Film Dampers ◽  
Entrained Air ◽  
San Andres

Squeeze film dampers (SFDs) are commonly used in turbomachinery to dampen shaft vibrations in rotor-bearing systems. The main factor deterring the success of analytical models for the prediction of SFD’s performance lies on the modeling of dynamic film rupture. Usually, the cavitation models developed for journal bearings are applied to SFDs. Yet, the characteristic motion of the SFD results in the entrapment of air into the oil film, producing a bubbly mixture that cannot be represented by these models. There is a need to identify and understand the parameters that affect air entrainment and subsequent formation of a bubbly air-oil mixture within the lubricant film. A previous model by and Diazand San Andrés (2001, “A Model for Squeeze Film Dampers Operating With Air Entrapment and Validation With Experiments,” ASME J. Tribol., 123, pp. 125–133) advanced estimation of the amount of film-entrapped air based on a nondimensional number that related both geometrical and operating parameters but limited to the short bearing approximation (i.e., neglecting circumferential flow). The present study extends their work to consider the effects of finite length-to-diameter ratios. This is achieved by means of a finite volume integration of the two-dimensional, Newtonian, compressible Reynolds equation combined with the effective mixture density and viscosity defined in the work of Diaz and San Andrés. A flow balance at the open end of the film is devised to estimate the amount of air entrapped within the film. The results show, in dimensionless plots, a map of the amount of entrained air as a function of the feed-squeeze flow number, defined by Diaz and San Andrés, and the length-to-diameter ratio of the damper. Entrained air is shown to decrease as the L/D ratio increases, going from the approximate solution of Diaz and San Andrés for infinitely short SFDs down to no air entrainment for an infinite length SFD. The results of this research are of immediate engineering applicability. Furthermore, they represent a firm step to advance the understanding of the effects of air entrapment on the performance of SFDs.

Entrapped Gas and Vapor Formation Influence on Surge Pressure in Liquid Pipeline Systems

2016 ◽  
Author(s):  
David Cheng ◽  
Borith Seng
Keyword(s):  
Experimental Data ◽  
Single Phase ◽  
Air Bubble ◽  
Modeling Methods ◽  
Column Separation ◽  
Design Engineers ◽  
Pipeline Systems ◽  
Entrapped Air ◽  
Pipeline Design ◽  
Vapor Formation

Predicting the effects of entrapped gas or vapor formation on surge is very important in design and operation of liquid pipelines. This paper identified the scenarios in which entrapped air and vapor formation need to be considered in pipeline operation and design. Useful modeling methods utilizing common liquid pipeline transient hydraulics software are provided. Validation of the presented methods was completed using experimental data from published literature. Examples are presented in showing the implementation of the provided modeling methods on real pipeline design scenarios. Finally, advantages and limitations of the presented methods was discussed. The methods presented in this paper enable pipeline operators and design engineers to properly estimate the complicated surge issues such as the influence of air bubble venting and column separation and collapse using commonly available single phase hydraulics tools. The operators and engineers will benefit from the provided methods in finding and validating reliable surge mitigation solutions and creating pipeline design with higher integrity level. The paper also presents the limitation of the methods and continuous improvements that can be achieved in the future.

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