The formation of a liquid bridge during the coalescence of drops

S. P. Decent; G. Sharpe; A. J. Shaw; P. M. Suckling

doi:10.1016/j.ijmultiphaseflow.2006.02.005

The formation of a liquid bridge during the coalescence of drops

S. P. Decent, G. Sharpe, A. J. Shaw, P. M. Suckling

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24 Citations (Scopus)

Abstract

This paper examines a mathematical model for the coalescence of two viscous liquid volumes in an inviscid gas or in a vacuum which removes the pressure singularity at the instant of impact inherent in the classical formulation of the continuum model. The very early stages of coalescence are examined in order to study the formation of the liquid bridge in two cases: (i) for two infinitely long, coalescing liquid cylinders; and (ii) for two coalescing spheres. Numerical solutions are computed for the velocity and pressure fields in the flow in both cases, and they confirm the removal of the pressure singularity. Also, the free-surface position at small times is determined. (c) 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	717-738
Number of pages	22
Journal	International Journal of Multiphase Flow
Volume	32
Issue number	6
DOIs	https://doi.org/10.1016/j.ijmultiphaseflow.2006.02.005
Publication status	Published - Jun 2006

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10.1016/j.ijmultiphaseflow.2006.02.005

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title = "The formation of a liquid bridge during the coalescence of drops",

abstract = "This paper examines a mathematical model for the coalescence of two viscous liquid volumes in an inviscid gas or in a vacuum which removes the pressure singularity at the instant of impact inherent in the classical formulation of the continuum model. The very early stages of coalescence are examined in order to study the formation of the liquid bridge in two cases: (i) for two infinitely long, coalescing liquid cylinders; and (ii) for two coalescing spheres. Numerical solutions are computed for the velocity and pressure fields in the flow in both cases, and they confirm the removal of the pressure singularity. Also, the free-surface position at small times is determined. (c) 2006 Elsevier Ltd. All rights reserved.",

author = "Decent, {S. P.} and G. Sharpe and Shaw, {A. J.} and Suckling, {P. M.}",

year = "2006",

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T1 - The formation of a liquid bridge during the coalescence of drops

AU - Decent, S. P.

AU - Sharpe, G.

AU - Shaw, A. J.

AU - Suckling, P. M.

PY - 2006/6

Y1 - 2006/6

N2 - This paper examines a mathematical model for the coalescence of two viscous liquid volumes in an inviscid gas or in a vacuum which removes the pressure singularity at the instant of impact inherent in the classical formulation of the continuum model. The very early stages of coalescence are examined in order to study the formation of the liquid bridge in two cases: (i) for two infinitely long, coalescing liquid cylinders; and (ii) for two coalescing spheres. Numerical solutions are computed for the velocity and pressure fields in the flow in both cases, and they confirm the removal of the pressure singularity. Also, the free-surface position at small times is determined. (c) 2006 Elsevier Ltd. All rights reserved.

AB - This paper examines a mathematical model for the coalescence of two viscous liquid volumes in an inviscid gas or in a vacuum which removes the pressure singularity at the instant of impact inherent in the classical formulation of the continuum model. The very early stages of coalescence are examined in order to study the formation of the liquid bridge in two cases: (i) for two infinitely long, coalescing liquid cylinders; and (ii) for two coalescing spheres. Numerical solutions are computed for the velocity and pressure fields in the flow in both cases, and they confirm the removal of the pressure singularity. Also, the free-surface position at small times is determined. (c) 2006 Elsevier Ltd. All rights reserved.

U2 - 10.1016/j.ijmultiphaseflow.2006.02.005

DO - 10.1016/j.ijmultiphaseflow.2006.02.005

M3 - Article

SN - 0301-9322

VL - 32

SP - 717

EP - 738

JO - International Journal of Multiphase Flow

JF - International Journal of Multiphase Flow

IS - 6

ER -

The formation of a liquid bridge during the coalescence of drops

Abstract

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