Interaction of three-dimensional hydrodynamic and thermocapillary instabilities in film flows

Scheid, Benoît; Kalliadasis, Serafim; Ruyer-Quil, Christian; Colinet, Pierre

doi:10.1103/physreve.78.066311

Cited by 40 publications

(32 citation statements)

References 42 publications

(80 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The theoretical dependence obtained in [6] indicates an increase in the wavelength of the instability (distance between the rivulets) with a decrease in Ma, but the tendency of its increase with increasing Re remains unchanged, which contradicts the experimental data. For Re> 5-8, calculations based on the theoretical model [6] do not lead to the formation of rivulet flows, while the experimental data obtained indicate a transition from a threedimensional wave flow of an isothermal film to a thermocapillary-wave regime B under a wide variation of the parameters.…”

Section: Results and Conclusioncontrasting

confidence: 53%

“…For Re> 5-8, calculations based on the theoretical model [6] do not lead to the formation of rivulet flows, while the experimental data obtained indicate a transition from a threedimensional wave flow of an isothermal film to a thermocapillary-wave regime B under a wide variation of the parameters. As follows from Table 1, the range of variation of the Marangoni number was almost 2 orders of magnitude.…”

Section: Results and Conclusionmentioning

confidence: 86%

See 1 more Smart Citation

The influence of the physical properties of the liquid on the formation of thermo-capillary structures

Chinnov

Semenov

2017

EPJ Web Conf.

View full text Add to dashboard Cite

Abstract. An experimental study of the formation of thermocapillary structures at low Reynolds numbers and temperature gradients at the surface of the film in a wide range of the viscosity of the liquid was carried out. The data on the distance between the rivulets are generalized. It is shown that the transverse dimension of structures is determined by the capillary constant and does not depend on either the viscosity of the liquid or the flow rate.

show abstract

Section: Results and Conclusioncontrasting

confidence: 53%

Section: Results and Conclusionmentioning

confidence: 86%

The influence of the physical properties of the liquid on the formation of thermo-capillary structures

Chinnov

Semenov

2017

EPJ Web Conf.

View full text Add to dashboard Cite

show abstract

“…and further (ii) temperature gradients induced within the film, as this undergoes heating or cooling, can result in significant surface tension gradients and give rise to thermocapillary 'Marangoni' instabilities [22][23][24], which will also affect the interfacial, flow and heat transfer processes. Generally thinner films exhibit the largest heat and mass transfer rates, however in very thin films these instabilities can lead to dewetting or dry spot formation, which will degrade the overall heat and mass transfer characteristics.…”

Section: Case Study I: Heated Falling Filmsmentioning

confidence: 99%

Heat transfer augmentation in unsteady conjugate thermal systems – Part II: Applications

Mathie

Nakamura

Markides

2013

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

Many energy conversion and other thermal-fluid systems exhibit unsteady convective heat exchange. In such systems, generic spatiotemporal variations in the flow give rise to variations in the heat flux for a given fluid-solid temperature difference, which can be interpreted as spatiotemporal fluctuations of the instantaneous heat transfer coefficient. These variations can lead to unsteady conjugate heat transfer, in which the exchanged heat flux arises from an interaction between the bulk fluid temperature and the temperature in the solid. Further, the nonlinear coupling between the fluctuating temperature differences and the heat transfer coefficient can lead to an effect we refer to as augmentation, which quantitatively describes the ability of a particular arrangement to have a different time-mean heat flux from the product between the mean heat transfer coefficient and the mean temperature difference across the fluid. It is important to be able to understand and to model in a simple framework the effects of the material properties, the geometry and the character of the heat transfer coefficient on the thermal response of the fluid-solid system, and consequently to predict the overall heat transfer performance of these systems. This paper, which follows on from its predecessor (Mathie and Markides, 2012a), is concerned with the phenomenon of augmentation in simple, one-dimensional, unsteady and conjugate fluid-solid systems. A simple semi-analytical one-dimensional model of heat transfer with a time-varying heat transfer coefficient, which was presented in Mathie and Markides (2012a), is applied herein to two different paradigm problems. Such a model can be an important tool in the design of improved heat exchangers and thermal insulation, through for example, the novel selection of materials to exploit these augmentation effects. The first flow considered is a thin, wavy fluid film flowing over a heated plate. This film flow exhibits a periodic fluctuation in the heat transfer coefficient, that is linked to the wavy interfacial deformations of free surface of the liquid film. The second flow considered concerns the heat transfer behind a backwards-facing step, which exhibits broadband fluctuations in the heat transfer coefficient due to the flow separation and turbulence behind * Corresponding author.

show abstract

“…This is more obvious if the WRM is extended to threedimensional cases. A three-dimensional numerical simulation with a three-dimensional WRM (Scheid, Kalliadasis, Ruyer-Quil, & Colinet, 2008) or the Benney type equation (Mayo, Mccue, & Moroney, 2013) is usually much simpler than a corresponding numerical simulation with the Navier-Stokes equation combined with the VOF approach (Xu, Yuan, Repke, & Wozny, 2012). Hence, an examination of the validity of the WRM is important for the physical interpretation of film flow and the practical application of the WRM.…”

Section: Introductionmentioning

confidence: 99%

A discussion on the validity domain of the weighted residuals model including the Marangoni effect for a thin film flowing down a uniformly heated plate

Liu

Jiang

Duan

2017

Engineering Applications of Computational Fluid Mechanics

View full text Add to dashboard Cite

In this paper, the validity of the Weighted Residuals Model (WRM), including the Marangoni effect, is investigated through linear stability analyses and two-dimensional nonlinear numerical simulations. The linear stability analyses with the WRM show that the model's accuracy decreases nearly linearly with the Marangoni number for each Reynolds number and achieves a maximum at approximately Re = 4 for each Marangoni number. This is quite different from the isothermal case, for which the error increases monotonically with the Reynolds number and remains small for small-to-moderate Reynolds numbers. This is very important for application of the WRM but has yet to be reported or investigated. The effects of the Reynolds number and Marangoni number on the nonlinear evolution of film layers are then investigated through numerical simulations. At small Reynolds number, it is found that the error caused by the Marangoni effect in predicting the phase speed can be ignored if the Marangoni number is small (Ma = 5) or makes the wave in the spatial numerical simulation considerably out of phase if the Marangoni number is large (Ma = 50). On the other hand, the saturation states can be generated by the WRM no matter whether the Marangoni number is small or large. When the Reynolds number is increased to a moderate value and the Marangoni number is taken as zero, it is found that the saturation wave produced by the WRM is very similar to the experimental one, except for the amplitude of the wave being somewhat larger and the wave speed as well as the wavelength being slightly smaller. Hence, it can be inferred that the WRM predicts the saturation waves well for small-to-moderate Reynolds numbers if the Marangoni numbers are limited to a small range depending on the Reynolds numbers. ARTICLE HISTORY

show abstract

Interaction of three-dimensional hydrodynamic and thermocapillary instabilities in film flows

Cited by 40 publications

References 42 publications

The influence of the physical properties of the liquid on the formation of thermo-capillary structures

The influence of the physical properties of the liquid on the formation of thermo-capillary structures

Heat transfer augmentation in unsteady conjugate thermal systems – Part II: Applications

A discussion on the validity domain of the weighted residuals model including the Marangoni effect for a thin film flowing down a uniformly heated plate

Contact Info

Product

Resources

About