A theoretical study on drop breakup modeling in turbulent flows: The inertial subrange versus the entire spectrum of isotropic turbulence

Solsvik, Jannike; Skjervold, Vidar T.; Han, Luchang; Luo, He’an; Jakobsen, Hugo A.

doi:10.1016/j.ces.2016.04.037

Cited by 38 publications

(24 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Turbulent breakage frequency models are broadly based on the homogenous isotropic turbulence (HIT) assumption for drop sizes in the inertial subrange. Recently Han et al [11] and Solsvik et al [12] extended drop breakage modeling to the entire energy spectrum of HIT. Independent of these extensions, the detailed behavior of turbulent breakage frequency models remains an open question (see Sect.…”

Section: Background and Motivationmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

et al. 2019

View full text Add to dashboard Cite

The simulation of dilute emulsions in a model ACIP2 Sonolator is investigated using computational fluid dynamics and population balance methods. Two breakage frequency models are used that differ in the expression of the drop breakage time. Drop breakage modeling based on homogenous isotropic turbulence (HIT) shows poor agreement of the Sauter mean diameter when compared to the experiments; simulations with the empirical model from Alopaeus et al. yield better agreement. By perturbing the classical HIT spectrum, it is shown that the breakage time in the empirical model corresponds to a non-isotropic energy spectrum. Such spectra have been observed in the non-isotropic near field in a model A Sonolator, which provides a plausible explanation of why the empirical model performs better than the HIT-based model.

show abstract

Section: Background and Motivationmentioning

confidence: 99%

“…Drops break to equilibrium size ü Drop size in the inertial subrange ü ü HIT ü ü lights the need for expanding the valid range of drop breakage modeling over the entire energy spectrum [11,12].…”

Section: Assumptions Theory Modelingmentioning

confidence: 99%

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

et al. 2019

View full text Add to dashboard Cite

show abstract

“…The model was later modified to include the possible effect of additional disruptive stresses due to interfacial tension changes . There exists also a large group of models based on an analogy to the kinetic theory of gases, accounting for different effects and accounting for the influence of the turbulent energy spectrum distribution on the vortex number density . Purely kinematic break‐up model was proposed by Martinez‐Bazan et al Another problem relates to the number of daughter drops.…”

Section: Introductionmentioning

confidence: 99%

“…17 There exists also a large group of models based on an analogy to the kinetic theory of gases, accounting for different effects 3,[18][19][20][21][22][23] and accounting for the influence of the turbulent energy spectrum distribution on the vortex number density. [24][25][26][27] Purely kinematic break-up model was proposed by Martinez-Bazan et al 28 Another problem relates to the number of daughter drops. Solsvik et al 29,30 used high-speed imaging experiments to study the influence of mother drop size on the number of produced fragments.…”

Section: Introductionmentioning

confidence: 99%

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Gao

Buffo

et al. 2016

AIChE Journal

View full text Add to dashboard Cite

Droplet coalescence and breakage in turbulent liquid–liquid dispersions is simulated by using computational fluid dynamics (CFD) and population balance modeling. The multifractal (MF) formalism that takes into account internal intermittency was here used for the first time to describe breakage and coalescence in a surfactant‐free dispersion. The log‐normal Extended Quadrature Method of Moments (EQMOM) was for the first time coupled with a CFD multiphase solver. To assess the accuracy of the model, predictions are compared with experiments and other models (i.e., Coulalogou and Tavlarides kernels and Quadrature Method of Moments [QMOM]). EQMOM and QMOM resulted in similar predictions, but EQMOM provides a continuous reconstruction of the droplet‐size distribution. Transient predictions obtained with the MF kernels result in a better agreement with the experiments. © 2016 American Institute of Chemical Engineers AIChE J, 63: 2293–2311, 2017

show abstract

“…The table shows that the turbulent inertia stress due to the turbulent structures of diameters within the inertial subrange has been the dominant theory of breakup modeling. Recently, a number of limited works have been published that include the possibility of breakup due to the turbulent inertia stress for the entire turbulent spectrum . The validations in these works were carried out using rough estimations of turbulent properties.…”

Section: Introductionmentioning

confidence: 99%

Dual mechanism model for fluid particle breakup in the entire turbulent spectrum

Karimi

Andersson

2019

AIChE Journal

View full text Add to dashboard Cite

This work provides an in-depth understanding of different breakup mechanisms for fluid particles in turbulent flows. All the disruptive and cohesive stresses are considered for the entire turbulent energy spectrum and their contributions to the breakup are evaluated. A new modeling framework is presented that bridges across turbulent subranges. The model entails different mechanisms for breakup by abandoning the classical limitation of inertial models. The predictions are validated with experiments encompassing both breakup regimes for droplets stabilized by internal viscosity and interfacial tension down to the micrometer length scale, which covers both the inertial and dissipation subranges. The model performance ensures the reliability of the framework, which involves different mechanisms. It retains the breakup rate for inertial models, improves the predictions for the transition region from inertia to dissipation, and bridges seamlessly to Kolmogorov-sized droplets. K E Y W O R D S mathematical modeling, multiphase flow, process, simulation, turbulence 1 | INTRODUCTION The size distribution of fluid particles within a continuous medium is of vital importance for different industrial applications. In multiphase processes, knowledge of size distribution determines the rate of momentum, heat and mass transport. The mathematical framework commonly used to tackle this problem is population balance modeling, which requires closure terms for the breakup and coalescence of the dispersed fluid particles. 1,2 The present work concentrates on the breakup mechanisms of fluid particles in turbulent flows.The pioneering models for breakup were formulated by Rayleigh in the nineteenth century for jet flows, and considered dynamic stresses and surface tension. 3 Taylor, 4,5 on the other hand, has shown the relevance of viscous stresses for droplet distortions when the droplets are very small or when the continuous phase is highly viscous. Balancing the deforming and stabilizing stresses, Hinze has proposed a formulation for the maximum stable droplet diameter (d max ) for dispersion in turbulent flows. 6 The above advancements have paved the way for further developments in the field. Typically, the ratio between counteracting stresses acting on fluid particles represents a dimensionless number that indicates the probable breakup mechanism. For instance, when inertia is the principal cause of breakup, a critical Weber number is quantified, and the break up takes place above this number; examples can be found in Reference 7-9 . The other scenario is the definition of a critical Capillary number (i.e., the ratio of viscous stress over surface stresses) for viscous laminar flows. [10][11][12] Although the dimensionless numbers are a relevant means for interpreting the breakup process, relying on dimensionless numbers to explain the complicated physical phenomenon that occurs during the breakup in turbulent multiphase systems is too simplistic. 13,14 Thus, later breakup models are inclined toward the dynamics of bubble or drople...

show abstract

A theoretical study on drop breakup modeling in turbulent flows: The inertial subrange versus the entire spectrum of isotropic turbulence

Cited by 38 publications

References 27 publications

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Dual mechanism model for fluid particle breakup in the entire turbulent spectrum

Contact Info

Product

Resources

About