Unordered Roll Flow Patterns of Interfacial Turbulence and Its Influence on Mass Transfer

Sha, Yong; Ye, Liyi

doi:10.1252/jcej.39.267

Cited by 4 publications

(8 citation statements)

References 15 publications

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“…Marangoni convection was neglected in the simulation for the Marangoni effect and only influenced the convection of the melt near the surface. [ 16 ] The governing differential equations for heat and mass transfer in crystallization zone are presented as follows:

\frac{\partial ρ}{\partial t} + \nabla \cdot false(ρ \overset{u}{true} false) = 0

\frac{\partial (ρ \vec{u})}{\partial t} + (\vec{u} \cdot \nabla) ρ \vec{u} = - \nabla p + \nabla \cdot \underset{̲}{τ} + (ρ - ρ_{0}) \vec{g}

\frac{\partial (ρ c_{normalp} T)}{\partial t} + \nabla \cdot (ρ c_{normalp} u T) = \nabla \cdot (λ_{normaleff} \nabla T) - \nabla \cdot {\overset{q}{true}}_{normalrad}

where ρ is the density, ρ 0 is the reference density,

\overset{u}{true}

is the velocity, τ̲ is the stress tensor,

\overset{g}{true}

is the gravity vector, p is the pressure, c p is the specific heat, T is the temperature, λ eff is the effective thermal conductivity,

{\vec{q}}_{rad}

is the vector of radiative heat flux.…”

Section: Computational Modelmentioning

confidence: 99%

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method

Jiang

Wang

et al. 2020

Crystal Research and Technology

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Herein, simulations of heat transfer and convection for CaF2 crystal growth are performed. Effects of internal radiation of the crystal and the melt are investigated, indicating that the temperature and flow field near the crystal–melt interface are the most affected. The temperature gradient and flow intensity near the interface have a significant change as the absorption coefficient of crystal and melt changes. Simulations at different growth stages for Nd:CaF2 crystal are also conducted to study the evolution of the temperature field and flow field. The interface is slightly convex to the melt during the entire constant‐diameter growth stage, which coincides with the actual crystal growth result. The flow intensity is extremely strong at the top and bottom of the melt, and three different vortexes exist during the entire growth process.

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\frac{\partial ρ}{\partial t} + \nabla \cdot false(ρ \overset{u}{true} false) = 0

\frac{\partial (ρ \vec{u})}{\partial t} + (\vec{u} \cdot \nabla) ρ \vec{u} = - \nabla p + \nabla \cdot \underset{̲}{τ} + (ρ - ρ_{0}) \vec{g}

\frac{\partial (ρ c_{normalp} T)}{\partial t} + \nabla \cdot (ρ c_{normalp} u T) = \nabla \cdot (λ_{normaleff} \nabla T) - \nabla \cdot {\overset{q}{true}}_{normalrad}

where ρ is the density, ρ 0 is the reference density,

\overset{u}{true}

is the velocity, τ̲ is the stress tensor,

\overset{g}{true}

is the gravity vector, p is the pressure, c p is the specific heat, T is the temperature, λ eff is the effective thermal conductivity,

{\vec{q}}_{rad}

is the vector of radiative heat flux.…”

Section: Computational Modelmentioning

confidence: 99%

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method

Jiang

Wang

et al. 2020

Crystal Research and Technology

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“…Most of previous studies had devoted to the observation of the Marangoni convection structures, the measurement of enhanced mass transfer rates, the establishment of theoretical or semiempirical mass transfer correlations and the prediction of the critical Marangoni number [10][11][12]. Recently, the CFD technique has been applied to simulate the Marangoni convection under the simplified conditions in order to acquire the local information of the flow and mass transfer because it is difficult to measure the velocity field and the component concentration field of the Marangoni convection experimentally in the immediate interfacial neighborhood [13][14][15].…”

Section: List Of Symbols Bimentioning

confidence: 99%

The Marangoni convection induced by acetone desorption from the falling soap film

Sha

Wang

et al. 2011

Heat Mass Transfer

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By means of the falling soap film tunnel and the Schlieren optical method, the Marangoni convection were observed directly in the immediate interfacial neighborhood during the desorption process of acetone from the falling soap film. Moreover, the hydraulic characteristics of the falling soap film tunnel, the acetone concentration, the surface tension of the soap liquid and the mass transfer has been investigated in details through the experimental or theoretical method.National Natural Science Foundation of China [20606027

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“…In this configuration, the induced Marangoni convection was limited only at the water surface due to this stream of upward supporting water. Therefore, penetration of the Marangoni convection into the bulk of liquid was missed although this penetration can bring the surface solute into inner liquid and has an apparent influence on mass transfer. ,, …”

Section: Experimental Mechanismmentioning

confidence: 99%

“…Investigations of the Marangoni convection related to mass transfer have been carried out usually by means of absorption, desorption, extraction, and vaporization in the quiescent or laminar flowing liquid. − Most of previous studies were devoted to observation of the Marangoni convection structures, measurement of enhanced mass transfer rates, establishment of theoretical or semiempirical mass transfer correlations, and prediction of the stability criteria.…”

Section: Introductionmentioning

confidence: 99%

“…The structure of the Marangoni convection emerging in liquid can be observed by means of the Schlieren or shadowgraph optical method, while the overall mass transfer rate can be obtained by measurement of the component concentration. ,,− In addition, the linear stability theory has been utilized widely to investigate the Marangoni convection as a good tool to acquire the stability criteria, but theoretical predictions from the linear theory are not in good accordance with experimental results due to the complicated nonlinear nature of the Marangoni convection. , …”

Section: Introductionmentioning

confidence: 99%

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Characteristics of the Marangoni Convection Induced in Initial Quiescent Water

Sha

Chen

Yin

et al. 2010

Ind. Eng. Chem. Res.

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By means of continuous deposition of the surface tension-lowering solvent at the quiescent water surface, the closed-loop Marangoni convection can be induced as a single convection cell at the air water interface. For this single Marangoni convection cell, its temporal-spatial evolution is visualized by means of the shadowgraph optical method, and its surface radial velocity distribution is measured with the help of the high speed photography technique. Meanwhile, an absorption experiment of CO2 into water, a scaling analysis, and a 2-D numerical simulation are conducted, respectively, to investigate mass transfer performance and flow characteristics of the induced Marangoni convection. Results show that the induced Marangoni convection has the high surface velocity, the sharp velocity gradient is in the immediate vicinity of the water surface, and the velocity of the Marangoni convection in the bulk of water is much less than that near the interface. The high surface velocity of the Marangoni convection along with its closed-loop flow structure impels exchange of the solvent between the interfacial neighborhood and the bulk of liquid and enhances renewal of the interfacial fluid.National Natural Science Foundation of China [20606027

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Unordered Roll Flow Patterns of Interfacial Turbulence and Its Influence on Mass Transfer

Cited by 4 publications

References 15 publications

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method

The Marangoni convection induced by acetone desorption from the falling soap film

Characteristics of the Marangoni Convection Induced in Initial Quiescent Water

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Unordered Roll Flow Patterns of Interfacial Turbulence and Its Influence on Mass Transfer

Cited by 4 publications

References 15 publications

Numerical Simulation of Heat Transfer and Convection for CaF2 Crystal Growth by Vertical Bridgman Growth Method

Numerical Simulation of Heat Transfer and Convection for CaF2 Crystal Growth by Vertical Bridgman Growth Method

The Marangoni convection induced by acetone desorption from the falling soap film

Characteristics of the Marangoni Convection Induced in Initial Quiescent Water

Contact Info

Product

Resources

About

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method

Numerical Simulation of Heat Transfer and Convection for CaF₂ Crystal Growth by Vertical Bridgman Growth Method