Effects of wall slip and temperature jump on heat and mass transfer characteristics of an evaporating thin film

Kou, Zhi Hai; Bai, Min

doi:10.1016/j.icheatmasstransfer.2011.03.032

Cited by 20 publications

(15 citation statements)

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“…They also concluded that the substrate thickness does have a minor effect on the total heat transfer. Kou and Bai (2011) related wall slip to a temperature jump at the solid-liquid interface. They concluded that the presence of a temperature jump at the interface can reduce heat and mass transport characteristics.…”

Section: Varying Thermophysical Properties Slip Boundary Conditionmentioning

confidence: 99%

Numerical Investigation of an Evaporating Thin Film on a Heated Surface

Ball¹,

Polansky²,

Kaya³

2013

Frontiers in Heat and Mass Transfer

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The fluid flow and heat transfer in an evaporating extended meniscus are numerically studied. Continuity, momentum, energy equations and the Kelvin-Clapeyron model are used to develop a third order, non-linear ordinary differential equation which governs the evaporating thin film. It is shown that the numerical results strongly depend on the choice of the accommodation coefficient and Hamaker constant as well as the initial perturbations. Therefore, in the absence of experimentally verified values, the numerical solutions should be considered as qualitative at best. It is found that the numerical results produce negative liquid pressures under certain specific conditions. This result may suggest that the thin film can be in an unstable state of tension; however, this finding remains speculative without experimental validation. Although similar thin-film models proved to be very useful in gaining qualitative insight into the characteristics of evaporating thin films, the results shown in this study indicate that careful experimental investigations are needed to verify the mathematical models.

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Section: Varying Thermophysical Properties Slip Boundary Conditionmentioning

confidence: 99%

Numerical Investigation of an Evaporating Thin Film on a Heated Surface

Ball¹,

Polansky²,

Kaya³

2013

Frontiers in Heat and Mass Transfer

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“…As the thin-film increases in thickness, the disjoining pressure effects decrease in strength as a reciprocal of the film thickness and allow for the film to undergo evaporation. With the presence of evaporation in the thin-film region, some works suggest the potential for local evaporative cooling [3,[24][25][26], while other models are unable to capture this phenomena [14,23,[27][28][29]. Any local changes in temperature may result in changes to the substrate temperature profile, an aspect typically treated as a constant wall temperature in many models [9,12,13,23,29].…”

Section: Evaporating Thin-film Regionmentioning

confidence: 99%

“…The Runge-Kutta method of solving the governing ODEs has been used extensively with good results [10,26,[41][42][43].…”

Section: Continuum Modelsmentioning

confidence: 99%

“…Using the augmented Young-Laplace equation to develop a thin-film model, the governing equation can be obtained. Typically the governing equation(s) are classed as second, third or fourth order ODEs [10,14,26,41,42]. The principal difference in the order of the governing equation is based on the decision of the researcher.…”

Section: Continuum Modelsmentioning

confidence: 99%

“…Adding to the continuum models, molecular dynamics simulations have provided information regarding the solid-liquid interaction. These simulations suggest the potential for a wall velocity or slip [26], as well as the existence of a thermal resistance known as the Kapitza resistance [16]. The notion of wall slip is not particularly new and has been implemented in various mathematical models, while the temperature jump at the solid-liquid surface has not.…”

Section: Molecular Dynamicsmentioning

confidence: 99%

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An Experimental and Theoretical Investigation of Evaporating Meniscus Dynamics and Instabilities

Polansky¹

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High power density systems utilising phase change heat transfer devices such as heat pipes can be susceptible to evaporation driven meniscus dynamics and instability.To better understand this, an study of evaporating meniscus dynamics and instability was needed. A mathematical model describing evaporating meniscus dynamics was developed in which meniscus height was correlated with superheat. Subsequent validation experiments confirmed the model was consistent with the general trends including the superheat to meniscus height relation.The study of evaporating meniscus instability was investigated using a one-sided model and a linear stability analysis. The analysis considered the effects of long range molecular forces, surface tension, vapour recoil, evaporation, thermocapillarity and viscous forces. The potential for instability was studied for three film geometries, for which the potential for instability was found to be spatially dependent for the curved cases, with perturbation growth rates increasing with superheat.An experimental study of channel based evaporating meniscus instability was performed for eight channel widths and three fluids: n-pentane, iso-octane and acetone.The meniscus height to superheat correlation was used to infer the superheat at which the meniscus destabilised. The experiments revealed two kinds of instability. The first was localised to a narrow range of superheats and unique to the alkanes, the second common to all three fluids and sustained for higher superheats. The second kind of instability was found to require larger superheats for decreasing channel widths.

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