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Droplet deformation and heat transfer in isotropic turbulence

Published online by Cambridge University Press:  05 May 2017

Daniel L. Albernaz Open the ORCID record for Daniel L. Albernaz [Opens in a new window] ,
M. Do-Quang ,
J. C. Hermanson  and
G. Amberg
Daniel L. Albernaz*
Affiliation:
Department of Mechanics, Linné Flow Center, The Royal Institute of Technology, 100 44 Stockholm, Sweden
M. Do-Quang
Affiliation:
Department of Mechanics, Linné Flow Center, The Royal Institute of Technology, 100 44 Stockholm, Sweden
J. C. Hermanson
Affiliation:
Department of Aeronautics and Astronautics, University of Washington, Seattle, WA 98195, USA
G. Amberg
Affiliation:
Department of Mechanics, Linné Flow Center, The Royal Institute of Technology, 100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

The heat and mass transfer of deformable droplets in turbulent flows is crucial to a wide range of applications, such as cloud dynamics and internal combustion engines. This study investigates a single droplet undergoing phase change in isotropic turbulence using numerical simulations with a hybrid lattice Boltzmann scheme. Phase separation is controlled by a non-ideal equation of state and density contrast is taken into consideration. Droplet deformation is caused by pressure and shear stress at the droplet interface. The statistics of thermodynamic variables are quantified and averaged over both the liquid and vapour phases. The occurrence of evaporation and condensation is correlated to temperature fluctuations, surface tension variation and turbulence intensity. The temporal spectra of droplet deformations are analysed and related to the droplet surface area. Different modes of oscillation are clearly identified from the deformation power spectrum for low Taylor Reynolds number $Re_{\unicode[STIX]{x1D706}}$, whereas nonlinearities are produced with the increase of $Re_{\unicode[STIX]{x1D706}}$, as intermediate frequencies are seen to overlap. As an outcome, a continuous spectrum is observed, which shows a decrease in the power spectrum that scales as ${\sim}f^{-3}$. Correlations between the droplet Weber number, deformation parameter, fluctuations of the droplet volume and thermodynamic variables are also developed.

JFM classification

Phase change: Condensation/evaporation Drops and Bubbles: Drops Turbulent Flows: Isotropic turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 820 , 10 June 2017 , pp. 61 - 85
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Copyright
© 2017 Cambridge University Press 

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