Graduate Thesis Or Dissertation
 

Numerical modeling of the hydrodynamics of gas fluidized beds

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  • This research involves a numerical study of the hydrodynamics of gas fluidized beds. We use the continuum model, treating both gas and particles as interpenetrating continua. The motion of gas and particles is strongly coupled by the interactions between them. For simplicity, we only consider drag forces. We use MacCormack's numerical method to solve the hyperbolic like equations and successive error vector propagation method or a marching tridiagonal method to solve the elliptic equation for pressure, depending on the situation considered (i.e. boundary conditions and geometry). In order to understand the basic phenomena, we consider the propagation of a finite disturbance of sine wave shape in one dimension. The disturbance grows in amplitude and forms a voidage shock. Next, the two dimensional case is analyzed, starting from the uniform fluidization condition. A jet is introduced at the bottom and the formation of a bubble and its motion is observed. Additionally, we introduce a bubble inside the bed and observe its effect on bed hydrodynamics. We then calculate the rise velocity of the bubble and find that it compares well with empirical correlations. We also consider the two dimensional case with a rectangular obstacle. The initial condition is calculated using D'Arcy's law. We observe the particle packing on the top and the local expansion phenomenon under the obstacle as well as the interaction of a rising bubble. The numerical results for this case agree qualitatively with experimental observations reported by others.
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