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Bezuglyi, B. A.; Tarasov, O. A.; Fedorets, Alexander A.

doi:10.1023/a:1013255432655

Cited by 21 publications

(15 citation statements)

References 2 publications

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“…Dynamics of thin films is well described by the evolution equation, which is obtained in the lubrication approximation theory [5,6]: 0 t h divq (2) where, h t -is the velocity of the surface, V τ -is the thermocapillary tangent stress, μ -is the dynamics viscosity, ρ -is the density, g -is the gravity vector, h -is the film thickness, σ -is the surface tension, σT -is the linear coefficient, which determines the dependence of the surface tension on temperature, T -is the temperature, …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…To find the numerical solution of the direct problem (2) - (3) we used the algorithm for joint solving the energy equation (3) and the evolution equation (2). Stationary solutions are obtained by the establishment method [5,6].…”

Section: Solving Algorithmmentioning

confidence: 99%

“…To a large extent the thermocapillary effect occurs while thin liquid layers are locally heated [1]. Thermocapillary effect can be successfully used to determine the properties and the thickness of the thin locally heated liquid layer [2].…”

Section: Introductionmentioning

confidence: 99%

“…A method for measuring the thickness of a liquid layer using a laser-induced thermocapillary effect was proposed in paper [2], and a method for identifying liquids was proposed in paper [3]. This paper presents a method for calculating σ and σ T coefficients based on the data about the dynamics of deformations in a thin locally heated horizontal liquid layer.…”

Section: Introductionmentioning

confidence: 99%

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Surface tension determination using data of the evolution of thermocapillary deformations in a locally heated liquid layer

Barakhovskaia

Marchuk

2017

MATEC Web Conf.

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Abstract. Identifying liquids in chemical technologies and in the oil industry is an actual problem. Such identifications can be made using individual characteristics of thermocapillary flows and deformations in the horizontal layers of the investigated liquids. Numerical algorithms and calculating code have been developed for solving inverse problems for identifying properties of liquid. As additional information for inverse problem a function of thermocapillary response is used. The algorithm for solving inverse problem is based on solving problem of minimizing the residual function. The minimum is obtained numerically by the Newton's method. Numerical calculations have been made for silicone oil. Thermocapillary responses have been calculated for different values of the coefficients. The developed algorithms have been tested on synthetic data, which have been obtained from the solution of direct problems. The developed algorithms have shown a good convergence and efficiency.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Solving Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Surface tension determination using data of the evolution of thermocapillary deformations in a locally heated liquid layer

Barakhovskaia

Marchuk

2017

MATEC Web Conf.

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“…The property of additivity was used for controlling the planeness of the free liquid surface [2] and for improving the method of contact angle measurements through the use of a tilted plate [3]. However, the results of [1] were qualitative.…”

Section: Introductionmentioning

confidence: 99%

Additivity of the dynamic curvature of a thermocapillary depression and static curvature of a wetting meniscus

Tarasov

2005

Colloid J

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A thermocapillary depression is induced by a laser beam in a layer of a transparent liquid on an absorbing substrate. Two plane-parallel wettable plates are immersed in the liquid in symmetrical positions with respect to the point of incidence of the beam on the liquid. The diameters of the thermocapillary response formed by the laser beam on a screen are studied in their dependence on the curvature of the equilibrium liquid meniscus formed between the plates. The property of additivity is experimentally proved; according to this property, the curvature of the free liquid surface is equal to the algebraic sum of the static curvature of the wetting meniscus and the dynamic curvature of the thermocapillary depression.

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Contact Angle Hysteresis – Advantages and Disadvantages: A Critical Review

Tyowua

Yiase

2021

Progress in Adhesion and Adhesives

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Untitled

Cited by 21 publications

References 2 publications

Surface tension determination using data of the evolution of thermocapillary deformations in a locally heated liquid layer

Surface tension determination using data of the evolution of thermocapillary deformations in a locally heated liquid layer

Additivity of the dynamic curvature of a thermocapillary depression and static curvature of a wetting meniscus

Contact Angle Hysteresis – Advantages and Disadvantages: A Critical Review

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