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

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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 languageEnglish
Title of host publicationProceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010
EditorsJ.C.F. Pereira, A. Sequeira, J.C.M. Pereira
Place of PublicationLisbon, Portugal
PublisherECCOMAS
Pages1-10
Number of pages10
ISBN (Print)978-989-96778-1-4
Publication statusPublished - 2010
Event5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal
Duration: 14 Jun 201017 Jun 2010
Conference number: 5

Conference

Conference5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010
Abbreviated titleECCOMAS ECFD 2010
CountryPortugal
CityLisbon
Period14/06/1017/06/10

Fingerprint

homogeneous turbulence
isotropic turbulence
humidity
turbulence
exchanging
probability density functions
direct numerical simulation
turbulent flow
drag
mass transfer
aerosols
equations of motion
temperature distribution
condensation
velocity distribution
heat transfer
distribution functions
evaporation
boundary conditions
scalars

Keywords

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

Cite this

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). Lisbon, Portugal: ECCOMAS.
Deb, B. S. ; Ghazaryan, L. ; Geurts, Bernardus J. ; Clercx, H.J.H. ; Kuerten, Johannes G.M. ; van der Geld, Cees W.M. / The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010. editor / J.C.F. Pereira ; A. Sequeira ; J.C.M. Pereira. Lisbon, Portugal : ECCOMAS, 2010. pp. 1-10
@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.",
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.

The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. / Deb, B. S.; Ghazaryan, L.; Geurts, Bernardus J.; Clercx, H.J.H.; Kuerten, Johannes G.M.; van der Geld, Cees W.M.

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 proceedingConference contributionAcademicpeer-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 - 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.

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

ER -

Deb BS, Ghazaryan L, Geurts BJ, Clercx HJH, Kuerten JGM, van der Geld CWM. The effect of phase transitions on the droplet size distribution in homogeneous isotropic turbulence. In Pereira JCF, Sequeira A, Pereira JCM, editors, Proceedings of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010. Lisbon, Portugal: ECCOMAS. 2010. p. 1-10