Marangoni flow of thin liquid film underneath a topographical plate

Song, Fenhong; Liu, Yankui; Zhang, Tingting; Fan, Jing; Yang, Qingzhen

doi:10.1016/j.csite.2022.102094

Cited by 3 publications

(8 citation statements)

References 44 publications

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“…The numerical results are validated against Xie et al experimental data for drop migration in a microgravity environment. The analysis shows the need to account for inertia terms for Reynolds numbers larger than one . Muñoz et al model and numerical results show that combining thermocapillarity, by subjecting a drop surface to a Gaussian temperature distribution, with surface acoustic waves (SAW) atomization reduces aerosol droplets’ diameter and work input, with slip on the solid surface reducing the rupture time.…”

Section: Introductionmentioning

confidence: 87%

“…8 In more recent investigations, thermocapillarity has been used for processing polymer−nanoparticle composites 20 and fabrication of micro and nanostructures. 21 The thermal gradients used are mainly classified into longitudinal and transverse. 20 A simulation of a thin liquid drop deposited on a cool plate below a warm plate is shown to deform and reach equilibrium.…”

Section: Introductionmentioning

confidence: 99%

“…In more recent investigations, thermocapillarity has been used for processing polymer–nanoparticle composites and fabrication of micro and nanostructures . The thermal gradients used are mainly classified into longitudinal and transverse .…”

Section: Introductionmentioning

confidence: 99%

“…The thermal gradients used are mainly classified into longitudinal and transverse . A simulation of a thin liquid drop deposited on a cool plate below a warm plate is shown to deform and reach equilibrium . At a large temperature difference and Marangoni number exceeding the critical value, the drop deforms and the maximum height increases until it touches the top plate protrusion .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamics of Thermocapillary-Driven Motion of Liquid Drops

Chebbi

2023

ACS Omega

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The thermocapillary migration of a drop placed on a solid plate is examined. The Brochard model using the lubrication approximation provides both Marangoni and Poiseuille flow components. The present 2D model extends Brochard analysis and provides a solution for the dynamics of drop migration using extended boundary conditions at the advancing and receding contact lines to account for both Marangoni and Poiseuille flow components, derived approximate drop profiles, and conservation of mass. The model is analytical, and the results are presented in a dimensionless form. The effects of the temperature gradient, surface tension coefficient to surface tension ratio, liquid viscosity, and static advancing and receding contact angles on migration dynamics are analyzed.

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Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamics of Thermocapillary-Driven Motion of Liquid Drops

Chebbi

2023

ACS Omega

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“…Yang et al theoretically and numerically investigated the equilibrium state of a deformed interface for a polymer–air system under a transverse thermal gradient. Furthermore, Yang et al and Song et al . numerically studied the dynamic evolution of a liquid film interface (polymer–air system).…”

Section: Introductionmentioning

confidence: 99%

Marangoni Flows in a Bilayer Liquid Microfilm Interface on Wave-Contoured Hot Substrates

Agrawal,

Das,

Dhar

2023

Langmuir

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This study explores the thermal Marangoni hydrodynamics in an immiscible, binary-liquid thin-film system, which is open to the gas phase at the top and rests on a heated substrate with wavy topology. The sinusoidal contour of the heated (constant-temperature) substrate results in temperature gradients along the liquid–liquid and liquid–gas interfaces, causing fluctuations in the interfacial tension, ultimately leading to Marangoni hydrodynamics in the liquid–liquid films. This type of flow is notable in liquid film coatings on patterned surfaces, which are widely used in MEMS/NEMS applications (Weinstein, S. J.; Palmer, H. J. Liquid Film Coating: Scientific Principles and Their Technological Implications; 1997, pp 19–62; Palacio, M.; Bhushan, B. Adv. Mater. 2008, 20, 1194–1198) and biological cell sorting operations (Witek, M. A.; Freed, I. M.; Soper, S. A. Anal. Chem. 2019, 92, 105–131). We solve the coupled Navier–Stokes and energy equations by the perturbation technique to obtain approximate analytical solutions and an understanding of the thermal and hydrodynamic transport in the system domain. Our study explores the parametric influence of the relative thermal conductivity of the liquid layers (k), film thickness ratio (r), and the system’s Biot number (Bi) on these transport phenomena. While the strength of the thermal Marangoni effect that is generated reduces with an increase in the relative thermal conductivity (k), the impact of r depends on the k value. We observe that for k > 1 the intensity of Marangoni flow increases with r; however, the opposite holds for k < 1. Furthermore, larger values of Bi induce higher resistance to the vertical conduction from the wavy substrate compared to the convection resistance offered at the top surface, destructively interfering with the ability of the patterned substrate to generate interfacial temperature fluctuations and hence weakening the Marangoni flow.

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A model for thermocapillary driven motion of liquid drops on an inclined plane

Chebbi

2024

International Journal of Thermofluids

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Marangoni flow of thin liquid film underneath a topographical plate

Cited by 3 publications

References 44 publications

Dynamics of Thermocapillary-Driven Motion of Liquid Drops

Dynamics of Thermocapillary-Driven Motion of Liquid Drops

Marangoni Flows in a Bilayer Liquid Microfilm Interface on Wave-Contoured Hot Substrates

A model for thermocapillary driven motion of liquid drops on an inclined plane

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