Numerical Simulation of Thermocapillary Convection in a Shallow Rectangular Cavity Under the Action of Combining Horizontal Temperature Gradient with Vertical Heat Flux

Li, You–Rong; Zhang, Hongru; Shi, Wan-Yuan; Peng, Lan

doi:10.1007/s12217-010-9205-x

Cited by 4 publications

(1 citation statement)

References 23 publications

(28 reference statements)

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“…Another transition from hexagon pattern to roll pattern is also found when the Marangoni number exceeds a critical value . Furthermore, it is found that the critical horizontal temperature gradient of the flow destabilizing increases first, and then decreases with the increase of the vertical heat flux in a shallow rectangular cavity . With the increase of the ratio of the vertical to horizontal heat transfer rates, the flow pattern transits along the route that is predicted by a linear stability analysis, that is, the hydrothermal waves—longitudinal rolls—2D waves .…”

Section: Introductionmentioning

confidence: 78%

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Shen

2018

Crystal Research and Technology

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This paper presents a set of numerical simulations on the effect of rotation on thermal convection in a shallow model Czochralski configuration with a heated crucible bottom. Results show that when the bottom is heated by low heat flux, the temperature fluctuation can be significantly weakened and the melt can be kept from solidifying. Once the heat flux exceeds a threshold value, the thermocapillary convection will transit to the Benard-Marangoni convection. The temperature fluctuation is amplified by increasing crystal rotation rate or heat flux. The crystal rotation can restrain the azimuthal traveling of the waves. However, the propagating direction of the waves is related to the temperature gradient and the crucible rotation, and is independent of the crystal rotation. The wavenumber is reduced by the crystal rotation individually. Furthermore, the crucible rotation can reduce the effect of the crystal rotation on the wavenumber.

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Section: Introductionmentioning

confidence: 78%

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Shen

2018

Crystal Research and Technology

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Two-Dimensional Numerical Simulation for Flow Pattern Transition of Thermal-Solutal Capillary Convection in an Annular Pool

Zhou

Tang

et al. 2013

Microgravity Sci. Technol.

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Numeric simulation can be used to predict heat transfer during the blanching of leaves and intact plants

Buyel

2016

Biochemical Engineering Journal

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Heat treatment is often used during the processing of plant-derived biomass to precipitate host cell proteins (HCPs) and thus simplify the purification of target proteins. Plants uniquely allow this precipitation step to be applied within intact leaves rather than large volumes of cell culture supernatant or extract. However, it can be expensive and time consuming to identify the optimal conditions for HCP removal even when applying statistical experimental designs, such as the design of experiments (DoE) approach. An alternative strategy that additionally yields mechanistic insights is the modeling of heat transfer within solid-state biological specimens, such as whole leaves. Here we present a method for the numeric simulation of heat treatment in tobacco (Nicotiana tabacum) leaves, and N. benthamiana leaves and whole plants, using input parameters such as the heating temperature, heat transfer coefficient, specific heat capacity and thermal conductivity, taking convective and conductive heat transfer into account. Incubation times of 0.5-1.0 min were sufficient to reach thermal equilibrium at typical heat transfer coefficients of 20-100 J s(-1) m(-2) K-1, and convection rather than conduction was the limiting factor, in agreement with published empirical data. The model can thus form the basis of a quality-by-design approach to remove HCPs by heat precipitation. The limits and benefits of modeling are discussed and we provide examples of potential future applications

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Numerical Simulation of Thermocapillary Convection in a Shallow Rectangular Cavity Under the Action of Combining Horizontal Temperature Gradient with Vertical Heat Flux

Cited by 4 publications

References 23 publications

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Two-Dimensional Numerical Simulation for Flow Pattern Transition of Thermal-Solutal Capillary Convection in an Annular Pool

Numeric simulation can be used to predict heat transfer during the blanching of leaves and intact plants

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