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- W2023181171 abstract "Abstract In the present paper, a mathematical model for the motion of the emulsion and gas phases as a bubble moves upward through a fluidized bed and erupts at the free surface is described. The model is an extension of the Davidson theory for a three-dimensional bubble in an infinite bed, modified to include the upward motion of the bubble, dynamic and kinematic conditions of the free surface and the deformation of the free surface. The problem is solved assuming that the velocity of the emulsion phase is induced by the upward motion of a spherical bubble. The emulsion phase is treated as an incompressible and inviscid fluid and is assumed to be unaffected by the gas motion. The gas flow field is then obtained using Darcy's Law and conservation of mass. The solution for the emulsion phase is also relevant to the analysis of the motion of the free surface of a liquid when approached by a spherical bubble. The resulting set of equations was solved numerically for an isolated spherical bubble, using a combination of finite element and finite difference techniques. Solutions are presented for particle and gas velocities and the shape of the free surface as a function of the vertical position of the advancing bubble. The results show that the gas velocities across the free surface and through the rising bubble increase when the bubble approaches the free surface. When the bubble erupts, both the flow pattern of gas and particles and the shape of the free surface change significantly." @default.
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- W2023181171 date "1988-01-01" @default.
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- W2023181171 title "Analysis of gas flow through erupting bubbles in a gas-fluidized bed" @default.
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- W2023181171 doi "https://doi.org/10.1016/0032-5910(88)80048-2" @default.
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