A predictive model for dissolution of stably trapped bubbles in corner cavities

•A predictive model was introduced to describe the dissolution of stably trapped bubbles in corner cavities of pipe systems.•The most accurate way to describe the air-water interface is with a no-slip boundary condition due to the presence of surfactants.•A correlation between the bulk Reynolds numb...

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Veröffentlicht in:International journal of heat and mass transfer 2021-11, Vol.179, p.121703, Article 121703
Hauptverfasser: Ermers, J., Kottapalli, S., Waterson, N.P., Smeulders, D.M.J., Nakiboglu, G.
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container_title International journal of heat and mass transfer
container_volume 179
creator Ermers, J.
Kottapalli, S.
Waterson, N.P.
Smeulders, D.M.J.
Nakiboglu, G.
description •A predictive model was introduced to describe the dissolution of stably trapped bubbles in corner cavities of pipe systems.•The most accurate way to describe the air-water interface is with a no-slip boundary condition due to the presence of surfactants.•A correlation between the bulk Reynolds number, vertical aspect ratio, Schmidt number and Sherwood number was found on the analysed range.•The Sh-correlation is based on numerical simulations, which are validated by experiments. A predictive model was introduced to describe the dissolution of stably trapped bubbles in corner cavities of pipe systems. Numerical simulations were executed to obtain the Sherwood number, which describes the gas transfer in the liquid phase. Experiments were executed to validate the predictive model and numerically obtained Sherwood numbers. It is concluded that the most accurate way to describe the air-water interface is with a no-slip boundary condition due to the presence of surfactants which renders the interface to be immobile. It was experimentally and numerically demonstrated that the Sherwood number is constant for a given Schmidt number, bulk Reynolds number and geometry. A correlation between the bulk Reynolds number, vertical aspect ratio, Schmidt number and Sherwood number was found on the analysed range. The vertical aspect ratio represents the vertical cavity depth over the diameter of the cavity. The influence of the system pressure, geometry scale and Sherwood number on the mass transfer rate over the air-water interface was discussed. Special attention was given to the geometry scale and the resulting time needed for complete dissolution of the bubble. It was found that the time taken for complete dissolution is a quadratic function of the geometry scale.
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A predictive model was introduced to describe the dissolution of stably trapped bubbles in corner cavities of pipe systems. Numerical simulations were executed to obtain the Sherwood number, which describes the gas transfer in the liquid phase. Experiments were executed to validate the predictive model and numerically obtained Sherwood numbers. It is concluded that the most accurate way to describe the air-water interface is with a no-slip boundary condition due to the presence of surfactants which renders the interface to be immobile. It was experimentally and numerically demonstrated that the Sherwood number is constant for a given Schmidt number, bulk Reynolds number and geometry. A correlation between the bulk Reynolds number, vertical aspect ratio, Schmidt number and Sherwood number was found on the analysed range. The vertical aspect ratio represents the vertical cavity depth over the diameter of the cavity. The influence of the system pressure, geometry scale and Sherwood number on the mass transfer rate over the air-water interface was discussed. Special attention was given to the geometry scale and the resulting time needed for complete dissolution of the bubble. 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A predictive model was introduced to describe the dissolution of stably trapped bubbles in corner cavities of pipe systems. Numerical simulations were executed to obtain the Sherwood number, which describes the gas transfer in the liquid phase. Experiments were executed to validate the predictive model and numerically obtained Sherwood numbers. It is concluded that the most accurate way to describe the air-water interface is with a no-slip boundary condition due to the presence of surfactants which renders the interface to be immobile. It was experimentally and numerically demonstrated that the Sherwood number is constant for a given Schmidt number, bulk Reynolds number and geometry. A correlation between the bulk Reynolds number, vertical aspect ratio, Schmidt number and Sherwood number was found on the analysed range. The vertical aspect ratio represents the vertical cavity depth over the diameter of the cavity. The influence of the system pressure, geometry scale and Sherwood number on the mass transfer rate over the air-water interface was discussed. Special attention was given to the geometry scale and the resulting time needed for complete dissolution of the bubble. 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subjects Aspect ratio
Boundary conditions
Bubbles
Corner cavity flow
Dissolution
Fluid flow
Gas dissolution
Geometry
Holes
Liquid phases
Mass transfer
Mathematical models
Prediction models
Quadratic equations
Reynolds number
Schmidt number
Sherwood number
Surfactants
Trapped bubbles
title A predictive model for dissolution of stably trapped bubbles in corner cavities
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