A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport

Zhang, J.; Eckmann, David M.; Ayyaswamy, P. S.

doi:10.1016/j.jcp.2005.09.016

Cited by 72 publications

(67 citation statements)

References 42 publications

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“…Since then, the thermocapillary migration of a bubble has been studied extensively by a series of theoretical analyses [3][4][5][6], numerical simulations [7][8][9][10] and experimental investigations [11]. In the mean time, several numerical techniques for treating the two-phase flow, such as the front-tracking method [12,13] and the level-set method [14], have also been developed, which may provide effective techniques to directly investigate thermocapillary migration processes of bubbles or droplets [15][16][17][18], interfacial mass transfer [19,20] and interfacial flows with soluble surfactants [21,22].…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

2011

Acta Mech

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Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the thermocapillary motion of planar droplets in the uniform temperature gradients is steady at moderate Marangoni numbers, but unsteady at large Marangoni numbers. The instantaneous migration velocity at a fixed migration distance decreases with increasing Marangoni numbers. The simulation results of the thermocapillary droplet migration at large Marangoni numbers are found in qualitative agreement with those of experimental investigations. Moreover, the results concerned with steady and unsteady migration processes are further confirmed by comparing the variations of temperature fields inside and outside the droplet. It is evident that at large Marangoni numbers the weak transport of thermal energy from outside of the droplet into inside cannot satisfy the condition of a steady migration process, which implies that the advection around the droplet is a more significant mechanism for heat transfer across/around the droplet at large Ma numbers. Furthermore, from the condition of overall steady-state energy balance in the flow domain, the thermal flux across its surface is studied for a steady thermocapillary droplet migration in a flow field with uniform temperature gradient. By using the asymptotic expansion method, a non-conservative integral thermal flux across the surface is identified in the steady thermocapillary droplet migration at large Marangoni numbers. This non-conservative flux may well result from the invalid assumption of a quasi-steady state, which indicates that the thermocapillary droplet migration at large Marangoni numbers cannot reach a steady state and is thus an unsteady process.

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Section: Introductionmentioning

confidence: 99%

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

2011

Acta Mech

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“…Furthermore, there appears to be genuine interest from the medical community in the role that surfactants play in vascular disorders, such as decompression sickness, see e.g. [10,74].…”

Section: Surfactantsmentioning

confidence: 99%

“…A method with many similarities is given by Zhang et al [74], in a paper that predates Muradoglu & Tryggvason by about two years. It is, again, a front-tracking method for the axially symmetric case, where the emphasis is more clearly on an application -which is blood flow.…”

Section: Surfactantsmentioning

confidence: 99%

An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant

2014

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The flow behavior of many multiphase flow applications is greatly influenced by wetting properties and the presence of surfactants. We present a numerical method for two-phase flow with insoluble surfactants and contact line dynamics in two dimensions. The method is based on decomposing the interface between two fluids into segments, which are explicitly represented on a local Eulerian grid. It provides a natural framework for treating the surfactant concentration equation, which is solved locally on each segment. An accurate numerical method for the coupled interface/surfactant system is given. The system is coupled to the Navier-Stokes equations through the Immersed Boundary Method, and we discuss the issue of force regularization in wetting problems, when the interface touches the boundary of the domain. We use the method to illustrate how the presence of surfactants influences the behavior of free and wetting drops.

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“…Therefore, in order to study the interfacial fluctuation under the effect of convection caused by temperature gradient, this paper adopts a numerical method (FTM) with high interfacial numerical accuracy [15,16], a numerical simulation of interface fluctuation within a two-phase region in a heatabsorbing tube is carried out, and some characteristics of Marangoni and Rayleigh-Benard effects on the variation of the interfacial fluctuation are found, which are expected to improve the internal working environment and to develop higher efficiency heat-absorption.…”

Section: Introductionmentioning

confidence: 99%

Study on the Instability of Two-Phase Flow in the Heat-Absorbing Tube of Trough Solar Collector

Zhang

Liu

et al. 2017

International Journal of Photoenergy

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The Marangoni effect and Rayleigh-Benard effect in the two-phase region of solar trough heat-absorbing tube are simulated by FTM (front tracking method). Considering the Marangoni effect alone, although surface tension gradient and surface tension affect the interface wave, the two effects have different characteristics. The surface tension gradient caused by the temperature gradient is one of the factors that swing the interface. The amplitude attenuation of the interface wave decreases with the increase of the Marangoni number (Ma). In general, the surface tension gradient enhances the convection opposite to the temperature gradient. Under the gravity field, the Rayleigh-Benard effect influences the development of the vortex structure in the flow field, which in turn affects the velocity gradient near the interface to influence the evolution of the interface fluctuation. In a small Rayleigh number (Ra), the buoyancy convection reduces the velocity gradient, thus suppressing the evolution of the interfacial wave. In the range of Ra < 4.0E4, the larger the Ra, the stronger the inhibitory effect. However, when the Ra number is large (Ra > 4.0E4), the situation is just the opposite. The larger the Ra is, the stronger the promoting effect is.

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A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport

Cited by 72 publications

References 42 publications

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant

Study on the Instability of Two-Phase Flow in the Heat-Absorbing Tube of Trough Solar Collector

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