Abstract
Eulerian-Eulerian computational fluid dynamic (CFD) models allow the prediction of complex and large-scale industrial multiphase gas–liquid bubbly flows with a relatively limited computational load. However, the interfacial transfer processes are entirely modelled, with closure relations that often dictate the accuracy of the entire model. Numerous sets of closures have been developed, often optimized over few experimental data sets and achieving remarkable accuracy that, however, becomes difficult to replicate outside of the range of the selected data. This makes a reliable comparison of available model capabilities difficult and obstructs their further development. In this paper, the CFD models developed at the University of Leeds and the Helmholtz-Zentrum Dresden-Rossendorf are benchmarked against a large database of bubbly flows in vertical pipes. The research groups adopt a similar modelling strategy, aimed at identifying a single universal set of widely applicable closures. The main focus of the paper is interfacial momentum transfer, which essentially governs the void fraction distribution in the flow, and turbulence modelling closures. To focus on these aspects, the validation database is limited to experiments with a monodispersed bubble diameter distribution. Overall, the models prove to be reliable and robust and can be applied with confidence over the range of parameters tested. Areas are identified where further development is needed, such as the modelling of bubble-induced turbulence and the near-wall region, as well as the best features of both models to be combined in a future harmonized model. A benchmark is also established and is available for the testing of other models. Similar exercises are encouraged to support the confident application of multiphase CFD models, together with the definition of a set of experiments accepted community-wide for model benchmarking.
Highlights
Flows are widespread in a multitude of multiphase flow en gineering applications and industrial fields, such as nuclear thermal hydraulics and chemical and process engineering equipment
The closures employed are commonly used in the modelling of bubbly flows, in a multitude of combinations and often with modified coefficients, and both the Helmholtz - Zentrum Dresden - Rossendorf (HZDR) and University of Leeds (UoL) momentum transfer modelling frameworks have been systematically validated in numerous recent publications (Colombo and Fairweather, 2015, 2019, 2020; Rzehak et al, 2015; Liao et al, 2018; Lucas et al, 2020)
Measurements are available for liquid velocity, relative velocity, void fraction and turbulence kinetic energy
Summary
Flows are widespread in a multitude of multiphase flow en gineering applications and industrial fields, such as nuclear thermal hydraulics and chemical and process engineering equipment. Research has more recently focused on three-dimensional, time-dependent computational fluid dynamic (CFD) methods (Yao and Morel, 2004; Yeoh and Tu, 2006; Hosokawa and Tomiyama, 2009; Dabiri and Tryggvason, 2015; Rzehak et al, 2015; Colombo and Fairweather, 2016b; Santarelli and Frohlich, 2016; Mim ouni et al, 2017; Feng and Bolotnov, 2018; Liao et al, 2018; Lubchenko et al, 2018) These are best equipped to account for the many local phenomena at the bubble scale that impact the macroscopic behaviour of the flow, and provide reliable numerical tools that are much needed to underpin improved bubbly flow understanding as well as efficient in dustrial equipment design and process optimization. The strengths and weaknesses of each model are identified, with the aim of establishing a path towards a future harmonized best possible model as well as pointing out areas where further joint developments will be beneficial
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