The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence

B. S. Deb; L. Ghazaryan; Bernardus J. Geurts; H.J.H. Clercx; Johannes G.M. Kuerten; Cees W.M. van der Geld

The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence

B. S. Deb, L. Ghazaryan, Bernardus J. Geurts, H.J.H. Clercx, Johannes G.M. Kuerten, Cees W.M. van der Geld

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We investigate the dynamics of an ensemble of discrete aerosol droplets in a homogeneous, isotropic turbulent flow. Our focus is on the stationary distribution of droplet sizes that develops as a result of evaporation and condensation effects. For this purpose we simulate turbulence in a domain with periodic boundary conditions using pseudo-spectral discretization. We solve in addition equations for the temperature and for a scalar field, which represents the background humidity against which the size of the droplets evolves. We apply large-scale forcing of the velocity field to reach a statistically steady state. The droplets are transported by the turbulent field while exchanging heat and mass with the evolving temperature and humidity fields. In this Euler-Lagrange framework, we assume the droplets volume fraction to be sufficiently low to allow one-way coupling of the droplets and turbulence dynamics. The motion of the droplets is time-accurately tracked. The Stokes drag force is included in the equation of motion of the individual droplets. The responsiveness of the droplets to small turbulent scales is directly related to the size of the individual spherical droplets. We perform direct numerical simulation to ultimately obtain the probability density function of the evolving radius of the droplets at different points in time with characteristic heat and mass transfer parameters. We determine the gradual convergence of the distribution function to its statistically stationary state for forced homogeneous, isotropic turbulence.

Original language	English
Title of host publication	Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010
Editors	J.C.F. Pereira, A. Sequeira, J.C.M. Pereira
Place of Publication	Lisbon, Portugal
Publisher	ECCOMAS
Pages	1-10
Number of pages	10
ISBN (Print)	978-989-96778-1-4
Publication status	Published - 2010
Event	5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal Duration: 14 Jun 2010 → 17 Jun 2010 Conference number: 5

Conference

Conference	5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010
Abbreviated title	ECCOMAS ECFD 2010
Country/Territory	Portugal
City	Lisbon
Period	14/06/10 → 17/06/10

Keywords

Evaporation and Condensation
Stokes Number
Pseudo Spectral Method
Multiphase Flows
Direct Numerical Simulation
Turbulence

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Deb, B. S., Ghazaryan, L., Geurts, B. J., Clercx, H. J. H., Kuerten, J. G. M., & van der Geld, C. W. M. (2010). The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. In J. C. F. Pereira, A. Sequeira, & J. C. M. Pereira (Eds.), Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010 (pp. 1-10). ECCOMAS. http://www.eccomas-cfd2010.org/

@inproceedings{b09d0f0feef64519a0fa54429059c73c,

title = "The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence",

abstract = "We investigate the dynamics of an ensemble of discrete aerosol droplets in a homogeneous, isotropic turbulent flow. Our focus is on the stationary distribution of droplet sizes that develops as a result of evaporation and condensation effects. For this purpose we simulate turbulence in a domain with periodic boundary conditions using pseudo-spectral discretization. We solve in addition equations for the temperature and for a scalar field, which represents the background humidity against which the size of the droplets evolves. We apply large-scale forcing of the velocity field to reach a statistically steady state. The droplets are transported by the turbulent field while exchanging heat and mass with the evolving temperature and humidity fields. In this Euler-Lagrange framework, we assume the droplets volume fraction to be sufficiently low to allow one-way coupling of the droplets and turbulence dynamics. The motion of the droplets is time-accurately tracked. The Stokes drag force is included in the equation of motion of the individual droplets. The responsiveness of the droplets to small turbulent scales is directly related to the size of the individual spherical droplets. We perform direct numerical simulation to ultimately obtain the probability density function of the evolving radius of the droplets at different points in time with characteristic heat and mass transfer parameters. We determine the gradual convergence of the distribution function to its statistically stationary state for forced homogeneous, isotropic turbulence.",

keywords = "Evaporation and Condensation, Stokes Number, Pseudo Spectral Method, Multiphase Flows, Direct Numerical Simulation, Turbulence",

author = "Deb, {B. S.} and L. Ghazaryan and Geurts, {Bernardus J.} and H.J.H. Clercx and Kuerten, {Johannes G.M.} and {van der Geld}, {Cees W.M.}",

note = "The authors gratefully acknowledge financial support from the Dutch Foundation for Technical Sciences, STW. This project is part of the Multiscale Simulation Techniques program. The numerical simulations have been made possible through a grant from NCF - SH061.; 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010, ECCOMAS ECFD 2010 ; Conference date: 14-06-2010 Through 17-06-2010",

year = "2010",

language = "English",

isbn = "978-989-96778-1-4",

pages = "1--10",

editor = "J.C.F. Pereira and A. Sequeira and J.C.M. Pereira",

booktitle = "Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010",

publisher = "ECCOMAS",

}

Deb, BS, Ghazaryan, L, Geurts, BJ, Clercx, HJH, Kuerten, JGM & van der Geld, CWM 2010, The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. in JCF Pereira, A Sequeira & JCM Pereira (eds), Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010. ECCOMAS, Lisbon, Portugal, pp. 1-10, 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010, Lisbon, Portugal, 14/06/10. <http://www.eccomas-cfd2010.org/>

The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. / Deb, B. S.; Ghazaryan, L.; Geurts, Bernardus J. et al.
Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010. ed. / J.C.F. Pereira; A. Sequeira; J.C.M. Pereira. Lisbon, Portugal: ECCOMAS, 2010. p. 1-10.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence

AU - Deb, B. S.

AU - Ghazaryan, L.

AU - Geurts, Bernardus J.

AU - Clercx, H.J.H.

AU - Kuerten, Johannes G.M.

AU - van der Geld, Cees W.M.

N1 - Conference code: 5

PY - 2010

Y1 - 2010

N2 - We investigate the dynamics of an ensemble of discrete aerosol droplets in a homogeneous, isotropic turbulent flow. Our focus is on the stationary distribution of droplet sizes that develops as a result of evaporation and condensation effects. For this purpose we simulate turbulence in a domain with periodic boundary conditions using pseudo-spectral discretization. We solve in addition equations for the temperature and for a scalar field, which represents the background humidity against which the size of the droplets evolves. We apply large-scale forcing of the velocity field to reach a statistically steady state. The droplets are transported by the turbulent field while exchanging heat and mass with the evolving temperature and humidity fields. In this Euler-Lagrange framework, we assume the droplets volume fraction to be sufficiently low to allow one-way coupling of the droplets and turbulence dynamics. The motion of the droplets is time-accurately tracked. The Stokes drag force is included in the equation of motion of the individual droplets. The responsiveness of the droplets to small turbulent scales is directly related to the size of the individual spherical droplets. We perform direct numerical simulation to ultimately obtain the probability density function of the evolving radius of the droplets at different points in time with characteristic heat and mass transfer parameters. We determine the gradual convergence of the distribution function to its statistically stationary state for forced homogeneous, isotropic turbulence.

AB - We investigate the dynamics of an ensemble of discrete aerosol droplets in a homogeneous, isotropic turbulent flow. Our focus is on the stationary distribution of droplet sizes that develops as a result of evaporation and condensation effects. For this purpose we simulate turbulence in a domain with periodic boundary conditions using pseudo-spectral discretization. We solve in addition equations for the temperature and for a scalar field, which represents the background humidity against which the size of the droplets evolves. We apply large-scale forcing of the velocity field to reach a statistically steady state. The droplets are transported by the turbulent field while exchanging heat and mass with the evolving temperature and humidity fields. In this Euler-Lagrange framework, we assume the droplets volume fraction to be sufficiently low to allow one-way coupling of the droplets and turbulence dynamics. The motion of the droplets is time-accurately tracked. The Stokes drag force is included in the equation of motion of the individual droplets. The responsiveness of the droplets to small turbulent scales is directly related to the size of the individual spherical droplets. We perform direct numerical simulation to ultimately obtain the probability density function of the evolving radius of the droplets at different points in time with characteristic heat and mass transfer parameters. We determine the gradual convergence of the distribution function to its statistically stationary state for forced homogeneous, isotropic turbulence.

KW - Evaporation and Condensation

KW - Stokes Number

KW - Pseudo Spectral Method

KW - Multiphase Flows

KW - Direct Numerical Simulation

KW - Turbulence

M3 - Conference contribution

SN - 978-989-96778-1-4

SP - 1

EP - 10

BT - Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010

A2 - Pereira, J.C.F.

A2 - Sequeira, A.

A2 - Pereira, J.C.M.

PB - ECCOMAS

CY - Lisbon, Portugal

T2 - 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010

Y2 - 14 June 2010 through 17 June 2010

ER -

The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence

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