The London—van der Waals force between two approaching droplets: The consequences of flattening of the spherical bodies

Klahn, J.K.; Agterof, W.G.M.; Vader, F. van Voorst; Groot, Robert D.; Groeneweg, F.

doi:10.1016/0166-6622(92)80270-c

Cited by 17 publications

(5 citation statements)

References 8 publications

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“…F vdw is the Van der Waal's attraction force between the interfaces represented by the disjoining pressure and given by the following expression for two perfect spherical droplets 33 :…”

Section: Transmentioning

confidence: 99%

See 1 more Smart Citation

Determination of the Orthokinetic Coalescence Efficiency of Droplets in Simple Shear Flow Using Mobile, Partially Mobile and Immobile Drainage Models and Trajectory Analysis

Mousa

Agterof

Mellema

2002

Chemical Engineering Research and Design

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“…F vdw is the Van der Waal's attraction force between the interfaces represented by the disjoining pressure and given by the following expression for two perfect spherical droplets 33 :…”

Section: Transmentioning

confidence: 99%

“…At large F h (small separation), the interfaces deform making a parallel lm between the two droplets, then the attraction force increases and equals 33 :…”

Section: Transmentioning

confidence: 99%

Determination of the Orthokinetic Coalescence Efficiency of Droplets in Simple Shear Flow Using Mobile, Partially Mobile and Immobile Drainage Models and Trajectory Analysis

Mousa

Agterof

Mellema

2002

Chemical Engineering Research and Design

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“…Indeed, for the smallest separations considered, we would expect considerable deviations from spherical geometry, which can strongly affect the magnitude of the vdW interactions [19]. One obvious improvement, if one wants to describe a "real" droplet, would be to instead simulate a spontaneously condensed droplet of dipolar particles, which would then be in equilibrium with its own vapor.…”

Section: Discussionmentioning

confidence: 99%

Classical van der Waals interactions between spherical bodies of dipolar fluid

Stenhammar

Trulsson

2011

Phys. Rev. E

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The van der Waals interaction free energy A int between two spherical bodies of Stockmayer fluid across a vacuum is calculated using molecular simulations and classical perturbation theory. The results are decomposed into their electrostatic and Lennard-Jones parts, and the former is shown to agree excellently with predictions from dielectric continuum theory. A int is decomposed into its energetic and entropic contributions and the results are compared with analytical predictions. Finally, we expand the electrostatic part of A int in a multipole expansion, and show that the surprisingly good agreement between the molecular and continuum descriptions is likely due to a cancellation of errors coming from the neglect of the discrete nature of the fluid within the dielectric description.

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“…(3) The expressions for the surface and hydrodynamic forces, which we use below, were derived under certain assumptions which are discussed in the relevant references. ,− ,− ,− …”

Section: Problem Formulation and Basic Assumptionsmentioning

confidence: 99%

“…Exact expression for the van der Waals attraction between truncated spheres has been recently derived by a number of authors, , following the method of Hamaker . The general result for truncated spheres is rather lengthy, , but fortunately most practically important cases allow for substantial simplifications without loss of accuracy. ,− , Thus for relatively small droplets deformations ( r 2 / a 2 ≪ 1) we arrive at the following expression for the van der Waals attraction 19 where A H is the Hamaker constant. The first three terms in the right hand side are identical to the case of interacting undeformed spheres solved by Hamaker, while the last one appears due to the deformability of the fluid droplets and is proportional to r 2 .…”

Section: Equilibrium Probability P Eq(rh) and Diffusion Tensor D(rh)mentioning

confidence: 99%

Theoretical Analysis of Film Thickness Transition Dynamics and Coalescence of Charged Miniemulsion Droplets

Petsev

2000

Langmuir

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The kinetics of thickness transitions of the film, separating two electrostatically stabilized emulsion droplets, is studied. The film evolution is considered as a random process in the two-dimensional space of the film radius and thickness. The analysis is based on the Smoluchowski equation for the time dependent probality for realization of a given configuration (film radius and thickness). The combination of attractive and repulsive (van der Waals and electrostatic) energies determines the potential energy term in the Smoluchowski equation, while the hydrodynamic resistance of film thining determines the diffusion tensor. The components of the latter are calculated. This approach allows one to obtain the average escape time from the secondary (common film) to the primary (Newton black film) energy minimum. This is equivalent to the common film lifetime. If there are not any short-ranged repulsions, to stabilize the thin (Newton black) film, the droplets fuse and the average escape time becomes that for coalescence. It is shown that the droplet deformability may have a great impact on the kinetics of film thickness transition. This is particularly important for emulsion systems with low interfacial tension and high electrolyte concentrations.

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The London—van der Waals force between two approaching droplets: The consequences of flattening of the spherical bodies

Cited by 17 publications

References 8 publications

Determination of the Orthokinetic Coalescence Efficiency of Droplets in Simple Shear Flow Using Mobile, Partially Mobile and Immobile Drainage Models and Trajectory Analysis

Determination of the Orthokinetic Coalescence Efficiency of Droplets in Simple Shear Flow Using Mobile, Partially Mobile and Immobile Drainage Models and Trajectory Analysis

Classical van der Waals interactions between spherical bodies of dipolar fluid

Theoretical Analysis of Film Thickness Transition Dynamics and Coalescence of Charged Miniemulsion Droplets

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