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GROWTH AND DETACHMENT OF CARBON DIOXIDE BUBBLES ON A HORIZONTAL POROUS SURFACE WITH A UNIFORM MASS INJECTION

DOI: 10.1615/ICHMT.2008.CHT.870
18 pages

Shong-Leih Lee
Department of Power Mechanical Engineering, National Tsing-Hua University, Hsinchu 30043, Taiwan

Wen-Bin Tien
Department of Power Mechanical Engineering, Hsinchu 30013, Taiwan

Abstract

Growth and detachment of carbon dioxide bubbles on a horizontal porous surface in water is investigated in the paper. Uniform carbon dioxide injection on the porous surface is considered. The Young-Laplace equation is solved with the geometry method to yield the bubble shape. The dynamic pressure on the bubble surface due to bubble expansion is neglected. Multi-solution modes are found. Based on the characteristics of the solution modes, it is postulated that the bubble grows with a monotonically increasing base area until the maximum value is reached according to the fundamental solution mode. After that, the bubble jumps toward the secondary solution mode at a constant volume, and then detaches from the surface. The increasing rate of the bubble volume due to mass diffusion/convection is evaluated by solving the momentum and concentration equations. Evolution of the bubble shape then is determined corresponding to the variation of the bubble volume. The results show that only a few percent of the carbon dioxide injected from the porous surface is removed by the bubble growth and detachment.

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