A polydisperse model for bubbly two-phase flow around a surface ship

Carrica, Pablo M.; Drew, Donald A.; Bonetto, F.; Lahey, R.T.

doi:10.1016/s0301-9322(98)00047-0

Cited by 149 publications

(125 citation statements)

References 33 publications

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“…2 approach (Drew, 1983). Two-fluid models are used to model the polydisperse two-fluid bubbly flow based on mixture theory (Carrica et al 1999;Moraga et al, 2008, Shi et al, 2010Ma et al 2011;Derakhti & Kirby, 2014). A first attempt to use a continuum type model for studying bubbly flow under surface breaking waves was made by Shi et al (2010).…”

Section: Introductionmentioning

confidence: 99%

Are breaking waves, bores, surges and jumps the same flow?

Lubin

Chanson

2016

Environ Fluid Mech

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The flow structure in the aerated region of the roller generated by breaking waves remains a great challenge to study, with large quantities of entrained air and turbulence interactions making it very difficult to investigate in details. A number of analogies were proposed between breaking waves in deep or shallow water, tidal bores and hydraulic jumps. Many numerical models used to simulate waves in the surf zone do not implicitly simulate the breaking process of the waves, but are required to parameterise the wave-breaking effects, thus relying on experimental data. Analogies are also assumed to quantify the roller dynamics and the energy dissipation. The scope of this paper is to review the different analogies proposed in the literature and to discuss current practices. A thorough survey is offered and a discussion is developed an aimed at improving the use of possible breaking proxies. The most recent data are revisited and scrutinised for the use of most advanced numerical models to educe the surf zone hydrodynamics. In particular, the roller dynamics and geometrical characteristics are discussed. An open discussion is proposed to explore the actual practices and propose perspectives based on the most appropriate analogy, namely the tidal bore.

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Section: Introductionmentioning

confidence: 99%

Are breaking waves, bores, surges and jumps the same flow?

Lubin

Chanson

2016

Environ Fluid Mech

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“…Similar power law relationships have also been proposed by other authors. 37,38 Obviously there is a striking similarity between eq. 9 and eq.…”

Section: Fluid Shear Enhanced Cluster Coalescencementioning

confidence: 86%

Influence of Agitation on Primary Nucleation in Stirred Tank Crystallizers

Liu

Svärd

Rasmuson

2015

Crystal Growth & Design

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The influence of agitation on nucleation of butyl paraben and m-hydroxybenzoic acid polymorphs has been investigated through 330 cooling crystallization experiments. The induction time has been measured at different supersaturation and temperature in three parallel jacketed vessels equipped with different overhead stirring agitators. In each case, the nucleating polymorph of mhydroxybenzoic acid has been identified by infrared spectroscopy. The influence of agitation rate, impeller type, impeller diameter, impeller to bottom clearance and the use of baffles have been investigated. A general trend in all the experiments is that the induction time decreases with increasing agitation rate. Across all experiments with different fluid mechanics for the butyl paraben system, the induction time is correlated to the average energy dissipation rate raised to the power -0.3. It is shown that this dependence is consistent with a turbulent flow enhanced cluster coalescence mechanism. In experiments with m-hydroxybenzoic acid, the metastable form II was always obtained at higher nucleation driving force while both polymorphs were obtained at lower driving force. In the latter case, form I was obtained in the majority of experiments at low agitation rate (100 rpm) while form II was obtained in all experiments at higher agitation rate (≥300 rpm).

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“…The two-fluid and multi-fluid models are prominent there. Carrica [29] presented a model for bubble flow around a surface ship where bubbles were divided into groups according to size. A link was also made between this multifluid method and the PBE, or Boltzmann transport equation for bubble size distribution in the terminology of that paper.…”

Section: Sprays and Bubblesmentioning

confidence: 99%

Population balance modelling of polydispersed particles in reactive flows

Rigopoulos

2010

Progress in Energy and Combustion Science

135

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Polydispersed particles in reactive flows is a wide subject area encompassing a range of dispersed flows with particles, droplets or bubbles that are created, transported and possibly interact within a reactive flow environment -typical examples include soot formation, aerosols, precipitation and spray combustion. One way to treat such problems is to employ as a starting point the Newtonian equations of motion written in a Lagrangian framework for each individual particle and either solve them directly or derive probabilistic equations for the particle positions (in the case of turbulent flow). Another way is inherently statistical and begins by postulating a distribution of particles over the distributed properties, as well as space and time, the transport equation for this distribution being the core of this approach. This transport equation, usually referred to as population balance equation (PBE) or general dynamic equation (GDE), was initially developed and investigated mainly in the context of spatially homogeneous systems. In the recent years, a growth of research activity has seen this approach being applied to a variety of flow problems such as sooting flames and turbulent precipitation, but significant issues regarding its appropriate coupling with CFD pertain, especially in the case of turbulent flow. The objective of this review is to examine this body of research from a unified perspective, the potential and limits of the PBE approach to flow problems, its links with Lagrangian and multifluid approaches and the numerical methods employed for its solution. Particular emphasis is given to turbulent flows, where the extension of the PBE approach is met with challenging issues. Finally, applications including reactive precipitation, soot formation, nanoparticle synthesis, sprays, bubbles and coal burning are being reviewed from the PBE perspective. It is shown that popualtion balance methods have been applied to these fields in varying degrees of detail, and future prospects are discussed.

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A polydisperse model for bubbly two-phase flow around a surface ship

Cited by 149 publications

References 33 publications

Are breaking waves, bores, surges and jumps the same flow?

Are breaking waves, bores, surges and jumps the same flow?

Influence of Agitation on Primary Nucleation in Stirred Tank Crystallizers

Population balance modelling of polydispersed particles in reactive flows

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