Effects of initial conditions on the simulation of inertial coalescence of two drops

Baroudi, Lina; Kawaji, Masahiro; Lee, Taehun

doi:10.1016/j.camwa.2013.05.002

Cited by 34 publications

(31 citation statements)

References 17 publications

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“…(1) approximated the continuity as follows: @ @t + r:ũ: (13) Also, Navier-Stokes equations can be recovered in low Mach numbers as follows [41] …”

Section: Simulation Methodsmentioning

confidence: 99%

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A note on the critical gap of bubble coalescence during foaming process: A diffuse-interface modeling

Rad

2017

Scientia Iranica

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Abstract. Bubble coalescence is an important stage of foaming process. A goal of foaming is to produce numerous, uniform-size bubbles. Therefore, suppression of bubble coalescence is desirable during foaming process. For stationary bubbles, if their distance is less than a critical gap, they will coalesce. Actually, in this case, attractive forces attract the outer surfaces to touch each other and form a growing gas bridge, which nally merges the bubbles. For bigger distance, the attractive forces cannot make a bridge and coalescence will not happen. In this study, the dynamics of bubble coalescence are modeled using a di use-interface LBM. Then, critical gap of bubble coalescence is de ned as the maximum distance between the stationary bubbles where the coalescence will happen. Sensibility of critical gap is obtained with respect to critical properties of material, bubble size, viscosity of gas and liquid, density ratio, surface tension, temperature, and interface thickness. The results show that interface thickness is the only factor that controls the critical gap. In other words, in the case of stationary bubbles, by a precise estimation of interface thickness, the coalescence can be predicted. Critical gap is a useful parameter in foaming where the maximum number of bubbles is desirable.

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“…(1) approximated the continuity as follows: @ @t + r:ũ: (13) Also, Navier-Stokes equations can be recovered in low Mach numbers as follows [41] …”

Section: Simulation Methodsmentioning

confidence: 99%

“…Baroudi et al investigated the growth dynamics of the connecting liquid bridge during the coalescence of two droplets in a binary system using LBM [13]. Sprittles simulated coalescence numerically and com-pared the results with experimental data [14].…”

Section: Introductionmentioning

confidence: 99%

A note on the critical gap of bubble coalescence during foaming process: A diffuse-interface modeling

Rad

2017

Scientia Iranica

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“…In the case of the coalescence of two identical liquid drops, with curvature given by (12), it will be shown that an analytic solution can be obtained which, now A has been specified, still contains only one free constant. As proposed in [9], balancing (dimensionless) inertial forces with the (driving) surface tension force gives…”

Section: An Improved Scalingmentioning

confidence: 99%

Dynamics of liquid drops coalescing in the inertial regime

Sprittles

Shikhmurzaev

2014

Phys. Rev. E

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We examine the dynamics of two coalescing liquid drops in the "inertial regime," where the effects of viscosity are negligible and the propagation of the front of the bridge connecting the drops can be considered as "local." The solution fully computed in the framework of classical fluid mechanics allows this regime to be identified, and the accuracy of the approximating scaling laws proposed to describe the propagation of the bridge to be established. It is shown that the scaling law known for this regime has a very limited region of accuracy, and, as a result, in describing experimental data it has frequently been applied outside its limits of applicability. The origin of the scaling law's shortcoming appears to be the fact that it accounts for the capillary pressure due only to the longitudinal curvature of the free surface as the driving force for the process. To address this deficiency, the scaling law is extended to account for both the longitudinal and azimuthal curvatures at the bridge front, which, fortuitously, still results in an explicit analytic expression for the front's propagation speed. This expression is shown to offer an excellent approximation for both the fully computed solution and for experimental data from a range of flow configurations for a remarkably large proportion of the coalescence process. The derived formula allows one to predict the speed at which drops coalesce for the duration of the inertial regime, which should be useful for the analysis of experimental data.

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“…The diffuse interface model incorporates the physics of short-range intermolecular attraction forces. 14,19 From Fig. 2(a), one can see that while the droplet surfaces approach each other, the intervening non-condensable gas film proceeds to drain under the influence of the intermolecular attraction forces between the two surfaces, as the velocity vectors in the non-condensable gas are pointing away from the interaction zone.…”

mentioning

confidence: 99%

“…[1][2][3][4] When two liquid drops come into contact, a microscopic liquid bridge forms between them and rapidly expands until the two drops merge into a single bigger drop. Numerous studies [5][6][7][8][9][10][11][12][13][14][15] have been devoted to the investigation of the coalescence singularity in the case where the drops coalesce in vacuum or air. These studies aimed to understand the dynamics governing the outward motion of the liquid bridge radius r(t) with time ( Fig.…”

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confidence: 99%

Dynamics of viscous coalescing droplets in a saturated vapor phase

et al. 2015

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The dynamics of two liquid droplets coalescing in their saturated vapor phase are investigated by Lattice Boltzmann numerical simulations. Attention is paid to the effect of the vapor phase on the formation and growth dynamics of the liquid bridge in the viscous regime. We observe that the onset of the coalescence occurs earlier and the expansion of the bridge initially proceeds faster when the coalescence takes place in a saturated vapor compared to the coalescence in a non-condensable gas.We argue that the initially faster evolution of the coalescence in the saturated vapor is caused by the vapor transport through condensation during the early stages of the coalescence.

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Effects of initial conditions on the simulation of inertial coalescence of two drops

Cited by 34 publications

References 17 publications

A note on the critical gap of bubble coalescence during foaming process: A diffuse-interface modeling

A note on the critical gap of bubble coalescence during foaming process: A diffuse-interface modeling

Dynamics of liquid drops coalescing in the inertial regime

Dynamics of viscous coalescing droplets in a saturated vapor phase

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