Numerical study of conjugated heat transfer in evaporating thin-films near the contact line

Du, Shi-Yuan; Zhao, Yaohua

doi:10.1016/j.ijheatmasstransfer.2011.08.039

Cited by 24 publications

(18 citation statements)

References 30 publications

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“…It was found that the local heat flux density in the region of the contact line is 5.4 − 6.5 times higher than the average heat flux density on the surface. Du and Zhao [17] proposed a conjugated heat transfer model for micro channels taking account of the interaction between the evaporating thin film in the contact line region and the heat conduction in the solid wall. High heat flux was confirmed in a narrow region of the evaporating thin film and in the corresponding region of the wall resulting in the existence of local minimal value of wall temperature.…”

Section: Article In Pressmentioning

confidence: 99%

Calculation of the heat flux near the liquid–gas–solid contact line

Karchevsky

Marchuk

Kabov

2016

Applied Mathematical Modelling

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Available online xxx Keywords: Evaporated sessile drop Contact line Local heat flux Cauchy problem for elleptic equation a b s t r a c tThe study deals with the heat and mass transfer process near the dynamic three-phase liquidgas-solid contact line. The evaporating sessile water droplets on a horizontal heated constantan foil are studied experimentally. The temperature of the bottom foil surface is measured by an infrared scanner. To measure the heat flux density for the inaccessible part of the boundary by temperature measurements obtained for the accessible part, the well-known heated thin foil technique is applied. In contrast to the usual approach, the heat conductivity along the foil is taken into account. To determine the heat flux value in the boundary region, inaccessible for measurements, the problem of temperature field distribution in the foil is solved. From the point of mathematics, it is classified as the Cauchy problem for the elliptic equation. According to calculation results, the maximum heat flux density occurs in the region of the contact line and it surpasses the average heat flux from the entire foil surface by the factor of 5 − 7. The average heat flux density in the wetted zone exceeds the average heat flux density from the entire foil surface by the factor of 3 − 5. This is explained by heat inflow from the foil periphery to the droplet due to the relatively high heat conductivity coefficient of foil material, and high evaporation rate in the contact line zone.

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Section: Article In Pressmentioning

confidence: 99%

Calculation of the heat flux near the liquid–gas–solid contact line

Karchevsky

Marchuk

Kabov

2016

Applied Mathematical Modelling

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“…The effect of an increasing channel width, was an increased thin-film length (Qu et al 2002;Zhao et al, 2011). Du and Zhao (2012) attempted to quantify the effects of using altered evaporation models. They concluded that neglecting disjoining pressure terms have less of an effect than neglecting capillary pressure terms.…”

Section: Varying Thermophysical Properties Slip Boundary Conditionmentioning

confidence: 99%

“…Most published works did not include their applied perturbations. Du and Zhao (2012) stated that the thickness perturbation, ε1, should be set sufficiently close to zero and the slope perturbation, ε2, should be set slightly larger than zero. Furthermore, altering parameters of the problem alters boundary conditions, which in turn have a profound effect on the perturbations.…”

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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“…1. The high heat transfer rate takes place in the evaporating film region which dominates the heat transfer process [6][7][8]. The evaporation of a liquid thin film is governed by the transport processes of the working fluid.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, thermocapillary flow in thin film induced by Joule heating which is referred as thermocapillary enabled purification has been employed as a promising purification technique to remove metallic carbon nanotubes from quartz substrates [22,23]. However, by employing the evaporative mass flux model involving the extended Clapeyron equation, most prior studies on evaporating thin film excluded the thermocapillary stresses [4][5][6][7][8]24,25]. Particularly, investigation on the effects of working fluid on thermocapillary convection in evaporating thin liquid films has been perennially lacking.…”

Section: Introductionmentioning

confidence: 99%