Evolution of dry patches in evaporating liquid films

Ajaev, Vladimir S.

doi:10.1103/physreve.72.031605

Cited by 28 publications

(36 citation statements)

References 21 publications

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“…We note that the interfacial temperature is expected to be close to the saturation value, so the Marangoni effect is not as prominent here as in previous studies of nonisothermal fingering. 4,23 The pressure can be expressed as…”

Section: ͑1͒mentioning

confidence: 99%

The effect of evaporation on fingering instabilities

Klentzman

Ajaev

2009

Physics of Fluids

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We investigate the flow of evaporating thin films of viscous liquid on inclined solid substrates under the influence of gravity. A lubrication-type approach is used to develop a three-dimensional model of the flow including physical effects such as capillarity, gravity, Marangoni stresses, disjoining pressure, and evaporation. Numerical simulations are then carried out based on the model. The effect of evaporation on the so-called fingering instability that develops along the contact line in the transverse direction of the flow is studied. It is found that evaporation acts to suppress the instability if the evaporation number, a nondimensional measure of the mass flow rate across the interface, is above a critical value. The critical value decreases as the inclination angle is decreased. For the values of evaporation number below the critical one, the fingers grow initially but then saturate at a length that depends on the evaporation conditions. It is also shown that thermocapillarity acts to enhance the instability.

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Section: ͑1͒mentioning

confidence: 99%

The effect of evaporation on fingering instabilities

Klentzman

Ajaev

2009

Physics of Fluids

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“…Representative values of the parameters are given in Table 2. Thus the model includes the evaporative effect from the aqueous layer and the van der Waals-type forces (Ajaev and Homsy, 2001; Ajaev, 2005a) representing the wettable corneal surface. We neglect gravitational effects because it typically acts too slowly compared to the blink and interblink times that we consider here (see Appendix A).…”

Section: Formulationmentioning

confidence: 99%

A Model for the Tear Film and Ocular Surface Temperature for Partial Blinks

Deng

Braun

Driscoll

et al. 2013

Interfac Phenom Heat Transfer

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In this paper, we investigate the dynamics of tear film and the associated temperature variation for partial blinks. We investigate the mechanism of fluid supply during partial blink cycles, and compare the film thickness with observation in vivo. We find that varying the thickness of the fluid layer beneath the moving upper lid improves the agreement for the in vivo measurement of tear film thickness after a half blink. By examining the flux of the fluid, we provide an explanation of this assumption. We also investigate the temperature dynamics both at the ocular surface and inside the simulated anterior chamber. Our simulation results suggest that the ocular surface temperature readjusts rapidly to normal temperature distribution after partial blinks.

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“…(23) and (24) and are estimated using values given in [24]. The other dimensionless groups have ranges that are estimated using fluid properties given in [55,56] such that realistic ranges are Ca ∼ 10…”

Section: B Scaling and Cross-sectional Averagingmentioning

confidence: 99%

Pinning, Retraction, and Terracing of Evaporating Droplets Containing Nanoparticles

2009

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We consider the dynamics of a slender, evaporating droplet containing nanoparticles. We use lubrication theory to derive a coupled system of equations that govern the film thickness and the concentration of nanoparticles. These equations account for capillarity, Marangoni stresses, evaporation and disjoining pressure; the nanoparticles-induced structural component of the disjoining pressure is also considered. Contact line singularities are avoided through the adsorption of ultrathin films wherein evaporation is suppressed by the disjoining pressure; a similar approach has recently been used by Ajaev [J. Fluid Mech., 528, 279-296, 2005] who has built on the previous work of Moosman and Homsy [J. Colloid Interface Sci., 73, 212-223, 1980]. The results of our numerical simulations indicate that, depending on the value of system parameters, the droplet exhibits a variety of different behaviours, which include spreading, evaporation-driven retraction, contact line pinning, and 'terrace'-formation.

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Evolution of dry patches in evaporating liquid films

Cited by 28 publications

References 21 publications

The effect of evaporation on fingering instabilities

The effect of evaporation on fingering instabilities

A Model for the Tear Film and Ocular Surface Temperature for Partial Blinks

Pinning, Retraction, and Terracing of Evaporating Droplets Containing Nanoparticles

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