The quadrature-based moment methods (QBMM) are widely used to solve the population balance equation (PBE), which provides a useful understanding of the evolution of disperse systems, e.g. bubbly gas-liquid flow. A key element of the methods is the moment-inversion algorithm that fails if the set of moments is not realizable. When the moment transport equations (derived from the PBE) include the convective term, employing standard high-order discretization schemes may cause the non-realizability problem. As a result, several realizable high-order schemes have been developed to address this issue. This work makes use of a bubbly developing pipe flow to investigate the performance of three schemes including 1st- and 2nd-order schemes, which can prevent the non-realizability problem. Eventually, the predictions will be discussed from the point of view of moment boundedness, a property that must be respected to obtain physical predictions.
On the realizability and boundedness of the moments in a bubbly gas-liquid pipe flow / Shiea, Mohsen; Buffo, Antonio; Vanni, Marco; Marchisio, Daniele. - ELETTRONICO. - (2019). (Intervento presentato al convegno 10th International Conference on Multiphase Flow tenutosi a Rio de Janeiro, Brazil nel 19 - 24 May, 2019).
On the realizability and boundedness of the moments in a bubbly gas-liquid pipe flow
Mohsen Shiea;Antonio Buffo;Marco Vanni;Daniele Marchisio
2019
Abstract
The quadrature-based moment methods (QBMM) are widely used to solve the population balance equation (PBE), which provides a useful understanding of the evolution of disperse systems, e.g. bubbly gas-liquid flow. A key element of the methods is the moment-inversion algorithm that fails if the set of moments is not realizable. When the moment transport equations (derived from the PBE) include the convective term, employing standard high-order discretization schemes may cause the non-realizability problem. As a result, several realizable high-order schemes have been developed to address this issue. This work makes use of a bubbly developing pipe flow to investigate the performance of three schemes including 1st- and 2nd-order schemes, which can prevent the non-realizability problem. Eventually, the predictions will be discussed from the point of view of moment boundedness, a property that must be respected to obtain physical predictions.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2763812
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