The dynamics of spherical bubble growth

Robinson, A.J.; Judd, R. L.

doi:10.1016/j.ijheatmasstransfer.2004.05.023

Cited by 118 publications

(67 citation statements)

References 13 publications

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“…(1) can reduce to P v (T)−T ∞ ≈ 2σ (T)/R in this domain, which reveals that the slight increase of bubble radius will lead to the decrease of saturated vapor pressure, with a proportional drop in the vapor temperature. As a result, the drop in vapor temperature corresponds to an increase in the temperature difference in the thermal boundary layer (as shown in Figure 8), with negligible changes in the thickness of thermal boundary layer (η ≈ 1/3R c ) [17] , which establishes a thermal feedback effect to drive the interfacial acceleration to reach its maximum.…”

Section: Bubble Growthmentioning

confidence: 99%

“…Figure 6 shows the variation of interfacial acceleration versus time. As can be seen in Figure 6, by taking the curve at the maximum superheat degree as example, the bubble growth can be divided into three domains [17] : Surface tension controlled growth, transition domain and heat transfer controlled growth. Figures 7 and 8 show the variations of hydrodynamic pressure exerted by liquid at the liquid-vapor interface and the temperature difference in the thermal boundary layer versus time at the maximum superheat degree, respectively.…”

Section: Bubble Growthmentioning

confidence: 99%

“…In addition, the increasing rate of temperature difference in the thermal boundary layer becomes slower due to the increase in hydrodynamic pressure (as shown in Figure 8), with the thickness of thermal boundary layer nearly keeping constant (η ≈ 1/3R c ) [17] , resulting in the weakening of thermal feedback effect. After this stage, the hydrodynamic pressure decreases gradually and the increasing rate of temperature difference approaches zero, but the advection and conduction serve to thicken the thermal boundary layer, which is responsible for the decreases in the mean temperature gradient of thermal boundary layer and the deceleration of bubble growth.…”

Section: Transition Domainmentioning

confidence: 99%

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Numerical modeling of dimethyl ether (DME) bubble growth and breakup

Zhang

2009

Chin. Sci. Bull.

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A numerical program is written to simulate the process of vapor bubble growth with spherical symmetry from the thermodynamic critical radius in an initially uniformly superheated liquid. The program is validated by the experimental data of superheated water. The calculated results agree with those of experiments well. The program takes into account the variations of properties with temperature precisely to simulate the DME bubble growth under flash boiling conditions. Considering the influences of pressure, surface tension and viscous stress, the linear stability analysis method is adopted to deduce the dispersion equation to represent the disturbance development during the bubble growth, and a new criterion for bubble breakup is established. The results show the bubble becomes more unstable with the increase of bubble Weber number and void fraction, and that with the increase of bubble growth rate or the decrease of initial radius ration of droplet to bubble, the breakup time of bubble becomes shorter.dimethyl ether, flash boiling, bubble growth, instability, bubble breakupThe flash boiling spray has potential in improving engine performance since it can be used to promote the atomization of fuels with a larger spray cone angle and a smaller droplet Sauter Mean Diameter (SMD) and so on [1,2] . As a clean fuel with potential long-lasting resources, DME has been considered as a promising alternative fuel for compression-ignition engines in recent years. The low boiling point and high saturated vapor pressure nature make the DME spray undergo flash boiling at lower ambient pressure [3,4] . Therefore, the research on DME spray under flash boiling conditions is of great significance.As two stages of flash boiling spray, bubble growth and breakup [5] , are becoming more central to the deep understanding of the spray atomization under flash boiling conditions. So, a single bubble in the infinite liquid field is chosen as the investigated subject in this paper and a computational program is presented for the solution of DME bubble growth based on the one-dimensional mathematic model. In addition, the linear stability theory is applied to solve the instable problem during the DME bubble growth, and a more complete dispersion equation is obtained, which is helpful to improve the study on the atomization mechanism of flash boiling spray.

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Section: Bubble Growthmentioning

confidence: 99%

Section: Bubble Growthmentioning

confidence: 99%

Section: Transition Domainmentioning

confidence: 99%

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Numerical modeling of dimethyl ether (DME) bubble growth and breakup

Zhang

2009

Chin. Sci. Bull.

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“…By the energy partition model investigation, it is possible to examine the effect of the compressed liquid properties on the spray properties. This model is based on the flash boiling generation spray, the homogenous nucleation rate and Robinson and Judd [17] numerical bubble growth model, With the steady state steady flow (SSSF) assumption. In the initial condition, when the compressed liquid is in the container ( Fig.…”

Section: Energy Mechanismsmentioning

confidence: 99%

Energy Aspects in Spray Formation by Homogenous Flash Boiling Process

Moshkovich¹,

Levy²,

Sher³

et al. 2017

Proceedings ILASS–Europe 2017. 28th Conference on Liquid Atomization and Spray Systems

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When a pressurized bubbly mixture is driven out through an orifice, the mixture pressure abruptly drops and the bubbles undergo a rapid expansion process, which under some circumstances results in a rapid disintegration of the liquid bulk into small droplets (atomization). Depending on the initial conditions, heterogeneous or homogeneous nucleation of vapor bubbles may occur. For homogeneous nucleation, the vapor bubbles grow rapidly one towards the other, and when they touch each other the bubbles "explode". In this stage, the liquid around the bubbles is teared, and a spray with small and uniform droplets is formed. In the literature, it seems that the efficiency of the homogenous flash boiling process is very low. In this work, we analyse this process and analyse it for possible energy losses. KeywordsFlash boiling atomization, Homogeneous nucleation and Spray Formation. IntroductionOver the years, different methods have been developed in order to obtain suitable sprays for different applications. The more important characteristics of a spray include the drops diameter, droplet size distribution, spray shape, flow velocity and mass flux. Former studies [1]- [7] show that the flash boiling method is one of the most efficient methods to obtain a spray with very small drops and with a uniform distribution. These are very relevant for many applications such as combustion systems, for which higher combustion efficiency and low pollution are important. Today, flash boiling sprays are widely used to generate fine sprays in air refreshers, insect fighting, painting and some pharmaceutical applications. The flash boiling obtained by pressure reduction of compressed liquid bellow the saturation pressure. The flash boiling spray is generated under well determined specific thermodynamic conditions. Based on the Levy et al. [8] model, the process is divided into three areas. When a liquid having a high vapor pressure, in the container ( Fig. 1 area a), is discharged to a low pressure ambient through a orifice, (i-e area). Under these conditions the rapid depressurization, results in a high bubbles nucleation, (point n). Vapor bubbles with radius are created, and grow one towards another up to the point in which they touch each other (point t) and tear the liquid around them into small and relatively uniform droplets (area d).

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“…During unconfined growth, shortly after disturbance of the meta-stability of the nucleus, there is a short period of inertially controlled growth [9]. Kandlikar [10] suggested that a pressure spike associated with nucleation could cause flow reversal.…”

Section: Introductionmentioning

confidence: 99%

1-D Modelling and 3-D Simulation of Confined Bubble Formation and Pressure Fluctuations During Flow Boiling in a Microchannel With a Rectangular Cross-Section of High Aspect Ratio

Gedupudi

Karayiannis

et al. 2009

ASME 2009 7th International Conference on Nanochannels, Microchannels and Minichannels

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A simple 1-D model with low requirements for computing time is required to investigate parametric influences on the potentially adverse effects of pressure fluctuations driven by confined vapour bubble growth in microchannel evaporative cooling systems operating at high heat fluxes. A model is developed in this paper for the particular conditions of a channel of rectangular cross-section with high aspect ratio with a constant inlet flow rate (zero upstream compressibility). (The model will later be extended to the conditions of finite upstream compressibility that lead to transient flow reversal). Some parametric trends predicted by the model are presented.The simplifying assumptions in the model are examined in the light of a 3-D simulation by a commercial CFD code, described in an accompanying paper by the same authors. The predictions of pressure changes are in reasonable agreement. It is suggested that the 1-D model will be a useful design tool.

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The dynamics of spherical bubble growth

Cited by 118 publications

References 13 publications

Numerical modeling of dimethyl ether (DME) bubble growth and breakup

Numerical modeling of dimethyl ether (DME) bubble growth and breakup

Energy Aspects in Spray Formation by Homogenous Flash Boiling Process

1-D Modelling and 3-D Simulation of Confined Bubble Formation and Pressure Fluctuations During Flow Boiling in a Microchannel With a Rectangular Cross-Section of High Aspect Ratio

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