A bubble breakage model for finite Reynolds number flows

Solsvik, Jannike; Skjervold, Vidar T.; Jakobsen, Hugo A.

doi:10.1080/01932691.2016.1216440

Cited by 8 publications

(2 citation statements)

References 41 publications

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“…The model of Martínez-Bazán et al (1999a,b, 2010 were originally designed considering very high Reynolds number flows, thus breakage was frequent and P B D m ð Þ $ 1. Solsvik et al (2017) suggested to add a breakage probability to the breakage frequency, analogous to the model of Coulaloglou and Tavlarides (1977), in order to expand the model to be valid also for lower Reynolds number flows. The breakage probability was defined as a shifted version of ( 5):…”

Section: Coulaloglou and Tavlaridesmentioning

confidence: 99%

“…Recently, some authors (e.g. Solsvik and Jakobsen, 2016a,b;Solsvik et al 2017;Andersson, 2018, 2019) have presented methods to expand several models from only considering the inertial subrange of turbulence, into considering the entire range of the turbulence spectrum. This change in modeling of turbulent stress is of critical importance when comparing model results with experimental data, in particular when the droplet size falls outside of the inertial subrange of turbulence.…”

Section: Coulaloglou and Tavlarides In The Entire Range Of The Turbulence Spectrummentioning

confidence: 99%

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Single drop breakage in turbulent flow: Statistical data analysis

Herø

Forgia

Solsvik

et al. 2020

Chemical Engineering Science: X

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To improve breakage models in the population balance framework, single octanol droplet experiments have been performed in a channel flow and recorded by high-speed camera. The study investigates impact of mother drop size on the breakage time, breakage probability, average number of daughters and the daughter size distribution for known turbulence characteristics. Each breakage event is associated with an individual turbulence level, based on the local flow characteristics. A clearly defined statistical analysis is presented. Using 95% confidence intervals, the precision of each of the determined properties is described quantitatively. Furthermore, the confidence intervals are a tool for determining whether an increased number of experiments will yield a significant increase in the precision, considered against the sources of error. It is found that 35-50 breakage events are sufficient to obtain confidence intervals of desired precision.

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Section: Coulaloglou and Tavlaridesmentioning

confidence: 99%

Section: Coulaloglou and Tavlarides In The Entire Range Of The Turbulence Spectrummentioning

confidence: 99%

Single drop breakage in turbulent flow: Statistical data analysis

Herø

Forgia

Solsvik

et al. 2020

Chemical Engineering Science: X

Self Cite

View full text Add to dashboard Cite

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Simulation of Turbulent Coalescence and Breakage of Bubbles and Droplets in the Presence of Surfactants, Salts, and Contaminants

Falzone

Buffo

Vanni

et al. 2018

Bridging Scales in Modelling and Simulation of Non-Reacting and Reacting Flows. Part I

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An hp-adaptive quadrature method for irregular integrands: Application to the population balance equation birth term

Engh

Solsvik

Jakobsen

2019

Chemical Engineering Science

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The solution of the population balance equation requires the integration of several source terms. In the numerical weighted residuals methods, Gaussian quadrature is a natural candidate for numerical integration. Previous works using the weighted residuals methods for solving the population balance equation did use a fixed grid of quadrature points. This work shows that the use of adaptive quadrature points for the numerical integration can lead to more efficient and accurate solutions of the equation. For cases where the integrand shows a high degree of irregularity, the hp-optimization method distributes the quadrature points such that the method becomes more efficient than with a fixed grid.An additional improvement is that the amount of quadrature points changes to fit the need for each integral present, rather than having one set of quadrature points for all cases. A simple population balance model demonstrates the use of the adaptive quadrature approach.

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A bubble breakage model for finite Reynolds number flows

Cited by 8 publications

References 41 publications

Single drop breakage in turbulent flow: Statistical data analysis

Single drop breakage in turbulent flow: Statistical data analysis

Simulation of Turbulent Coalescence and Breakage of Bubbles and Droplets in the Presence of Surfactants, Salts, and Contaminants

An hp-adaptive quadrature method for irregular integrands: Application to the population balance equation birth term

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