Development Of A Computationally Efficient
Bubble Column Simulation Approach By Way
Of Statistical Bubble Micro-flow Modelling
Author(s)
W. Coetzee, R. L. J. Coetzer & R. Rawatlal
Abstract
Bubble columns are extensively used in the chemical process industry,
however their hydrodynamics are computationally expensive to simulate, severely
restricting design and optimisation studies. A novel discrete-phase bubble column
modelling approach is proposed where the flow-field in the immediate vicinity
of individual bubbles is predicted from the Reynolds number via an algebraic
bubble flow model, i.e. the Bubble Cell Model (BCM). This contrasts to the
traditional Euler.Lagrange approach, where the flow structure is resolved at a
larger scale using the Navier.Stokes equations. The construction of the BCM
involves generating the micro-flow fields through solving the analogous case of
the flow over a fixed sphere with the Navier.Stokes equations at 22 equally spaced
Reynolds numbers in the operating range of Re . 270. The model construction
then occurs in two stages, i.e. stage one: the fitting of each velocity vector field
at the discrete Reynolds numbers, and stage two: the cross correlation of the
stage one model parameters with respect to Reynolds number. For stage one, a
hybrid between analytical and statistical models was found to provide accurate fits,
resulting in R2 values ranging from 0.9968 to 0.9999. The Reynolds dependence
of the parameters was found to be described through simple polynomial and
exponential models in the second stage construction, producing a model which
generates the velocity vector field around a bubble for a given Reynolds number
as the result of a single algebraic evaluation. The integration of the BCM with a
Eularian macro fluid model has also been investigated for a single bubble pilot
test case.
Keywords: bubble flow, Euler.Lagrange, cell model.
Keywords
bubble flow, Euler-Lagrange, cell model.
Related Book
Other papers in this volume
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