Dynamics of volatile liquid droplets on heated surfaces: theory versus experiment

Sodtke, Christof; Ajaev, Vladimir S.; Stephan, Peter

doi:10.1017/s0022112008002759

Cited by 69 publications

(71 citation statements)

References 24 publications

(32 reference statements)

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“…However, η (x) still influences the dynamics of the inner regions through θ ± in (15), which depend on ∂ x η. In the limit of slow spreading, we write ± = 0± + 1± + · · · , with 0± = ξ ± and 0± 1± = O (ȧ ± ).…”

Section: Inner Regionsmentioning

confidence: 99%

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Influence of gravity on the spreading of two-dimensional droplets over topographical substrates

Savva

Kalliadasis

2010

J Eng Math

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The influence of gravity on the motion of a two-dimensional droplet of a partially wetting fluid over a topographical substrate is considered. The spreading dynamics is modeled under the assumption of small contact angles in which case the long-wave expansion in the Stokes-flow regime can be employed to derive a single equation for the evolution of the droplet thickness. The relative importance of gravity to capillarity in the equation is measured by the Bond number which is taken to be low to moderate. In this regime, the flow in the vicinity of the contact line is matched asymptotically through a singular perturbation approach to the flow in the bulk of the droplet to yield a set of coupled integrodifferential equations for the location of the two droplet fronts. The matching procedure is verified through direct comparisons with numerical solutions to the full problem. The equations obtained by asymptotic matching are analyzed in the phase plane and the effects of Bond number on the droplet dynamics and its equilibria are scrutinized.

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Section: Inner Regionsmentioning

confidence: 99%

“…However, the influence of substrate topography on droplet spreading is arguably less theoretically studied compared to spreading over ideally flat substrates [8][9][10][11][12], or spreading in the presence of other effects, such as chemical heterogeneities, evaporation and thermocapillarity [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Influence of gravity on the spreading of two-dimensional droplets over topographical substrates

Savva

Kalliadasis

2010

J Eng Math

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“…Let us consider a more realistic model which is motivated by the experimental set up used in Sodtke et al (2008). We assume that the solid consists of two layers: an electrically heated thin foil and a thick layer of Plexiglas.…”

Section: Coupling Between Diffusion and Heat Transfermentioning

confidence: 99%

Evaporation of Ultra-thin Liquid Films into Air

Ajaev

Brutin

Tadrist

2010

Microgravity Sci. Technol.

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We develop a mathematical model of evaporation of a thin liquid film into air under the action of disjoining pressure. The rate of evaporation is found from the numerical solution of the diffusion equation with specified local vapor concentration near the film surface, assumed equal to its equilibrium value. Evolution of the film is studied for two commonly used disjoining pressure models using a simplified formulation which neglects thermal gradients present in the system. The results are then compared to numerical simulations of coupled systems of equations describing heat conduction in the liquid and solid phases and diffusion of vapor through air. Conditions are formulated at which disjoining pressure suppresses evaporation.

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“…The heat flux distribution near the contact lines is investigated using the sessile drop configuration by numerical solution of the Cauchy problem for elliptic equations [9,10,11]. The heat transfer in sessile drop on a thin metal foil is studied using thermochromic liquid crystals (TLCs) in [12]. The goal of this paper is to obtain heat flux distribution near the contact line using IR imaging for one and ensemble of several (3) droplets.…”

Section: Introductionmentioning

confidence: 99%

The heat flux near the contact line of the droplets on heated foil

Cheverda

Karchevsky

2016

MATEC Web Conf.

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Abstract. The heat flux distribution near the contact lines of one or several (3) drops on a horizontal heated constantan foil is investigated. The temperature distribution of the bottom foil surface was measured by the FLIR infrared (IR) camera. To measure the heat flux distribution near the contact lines numerical solution of the Cauchy problem is used. The maximum of the heat flux density is observed near the contact line and it exceeds the average heat flux density by several times. This is due to relatively high heat conductivity coefficient of the foil material and high evaporation rate in the contact line region, so the heat flux from the foil periphery (out of the drop) is enter to the contact line region of the drop..

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Dynamics of volatile liquid droplets on heated surfaces: theory versus experiment

Cited by 69 publications

References 24 publications

Influence of gravity on the spreading of two-dimensional droplets over topographical substrates

Influence of gravity on the spreading of two-dimensional droplets over topographical substrates

Evaporation of Ultra-thin Liquid Films into Air

The heat flux near the contact line of the droplets on heated foil

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