A model for turbulent polydisperse two-phase flow in vertical channels

Politano, Marcela; Carrica, Pablo M.; Converti, J.

doi:10.1016/s0301-9322(03)00065-x

Cited by 131 publications

(79 citation statements)

References 25 publications

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“…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. Much of the research has been conducted with the objective of predicting the multiphase flow in vertical bubble flows [180] such as bubble column reactors, where the bubble size distribution can have a profound effect on the physicochemical phenomena. Since this research has been comprehensively reviewed by Jakobsen et al [103], the interested reader is referred to that work.…”

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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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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“…To solve this problem, the two-fluid or Euler-Euler modeling approach (Drew 1983, Ishii 1975) is often applied for vertical upward bubbly pipe flow predictions (Chahed & Masbernat 1998, Drew & Lahey 1982, Hill et al 1995, Lopez de Bertodano et al 1994, Lucas et al 2001, Politano et al 2003. In this modeling method both the continuous phase and the dispersed phase are considered as a continuum.…”

Section: Euler-euler Modeling Of Vertical Upward Bubbly Pipe Flowsmentioning

confidence: 99%

“…By considering no mass transfer between phases and neglecting surface-tension forces, it is common to assume F g = − F l . For vertical upward bubbly pipe flows, the problem is further simplified to make time-average profile predictions (Antal et al 1991, Politano et al 2003.…”

Section: Wwwannualreviewsorg • Gas-lift Techniquementioning

confidence: 99%

“…Contrary to microscopic diffusion terms included in the mass conservation equation, this effect is taken into account by an additional turbulent dispersion force in the momentum conservation equation (Drew 2001, Moraga et al 2003. Following a diffusion approach, this force (Carrica et al 1999, Hill et al 1995, Politano et al 2003, Troshko & Hassan 2001) is modeled as:…”

Section: Interfacial Forces the Drag-force Density Is Given Bymentioning

confidence: 99%

“…Following the assumptions, the gas and the liquid radial momentum conservation equations are given by (see also Antal et al 1991 andPolitano et al 2003):…”

Section: A Simplified Euler-euler Modelmentioning

confidence: 99%

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Fluid Mechanical Aspects of the Gas-Lift Technique

Guet

Ooms

2006

Annu. Rev. Fluid Mech.

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The gas-lift technique comprises the injection of gas bubbles in vertical oil wells to increase production. It is based on a reduction of the tubing gravitational pressure gradient. Several fluid-flow phenomena influencing such vertical gas-liquid flows are discussed. These effects include the radial distribution of void fraction and of gas and liquid velocity, flow regime changes, and system stability problems. Associated consequences for gas-lift performance and related optimization approaches are also discussed.

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