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Title: Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows

Abstract

Here, the present paper addresses important fundamental issues of inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows through scaling analysis. In typical point-particle or two-fluid approaches, the fluid motion and convective heat transfer at the particle scale are not resolved and the momentum and energy coupling between fluid and particles are provided by proper closure models. By examining the kinetic energy transfer due to the coupling forces from the macroscale to microscale fluid motion, closure models are obtained for the contributions of the coupling forces to the energy coupling. Due to the inviscid origin of the added-mass force, its contribution to the microscale kinetic energy does not contribute to dissipative transfer to fluid internal energy as was done by the quasi-steady force. Time scale analysis shows that when the particle is larger than a critical diameter, the diffusive-unsteady kernel decays at a time scale that is smaller than the Kolmogorov time scale. As a result, the computationally costly Basset-like integral form of diffusive-unsteady heat transfer can be simplified to a non-integral form. Conventionally, the fluid-to-particle volumetric heat capacity ratio is used to evaluate the relative importance of the unsteady heat transfer to the energy balance of themore » particles. Therefore, for gas-particle flows, where the fluid-to-particle volumetric heat capacity ratio is small, unsteady heat transfer is usually ignored. However, the present scaling analysis shows that for small fluid-to-particle volumetric heat capacity ratio, the importance of the unsteady heat transfer actually depends on the ratio between the particle size and the Kolmogorov scale. Furthermore, the particle mass loading multiplied by the heat capacity ratio is usually used to estimate the importance of the thermal two-way coupling effect. Through scaling argument, improved estimates are established for the energy coupling parameters of each energy exchange mechanism between the phases.« less

Authors:
ORCiD logo [1];  [2];  [2]
  1. Sorbonne Univ., Paris (France)
  2. Univ. of Florida, Gainesville, FL (United States)
Publication Date:
Research Org.:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Advanced Simulation and Computing Program; USDOE
OSTI Identifier:
1469685
Alternate Identifier(s):
OSTI ID: 1241405
Grant/Contract Number:  
NA0002378
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 28; Journal Issue: 3; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ling, Yue, Balachandar, S., and Parmar, M. Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows. United States: N. p., 2016. Web. doi:10.1063/1.4942184.
Ling, Yue, Balachandar, S., & Parmar, M. Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows. United States. https://doi.org/10.1063/1.4942184
Ling, Yue, Balachandar, S., and Parmar, M. Wed . "Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows". United States. https://doi.org/10.1063/1.4942184. https://www.osti.gov/servlets/purl/1469685.
@article{osti_1469685,
title = {Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows},
author = {Ling, Yue and Balachandar, S. and Parmar, M.},
abstractNote = {Here, the present paper addresses important fundamental issues of inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows through scaling analysis. In typical point-particle or two-fluid approaches, the fluid motion and convective heat transfer at the particle scale are not resolved and the momentum and energy coupling between fluid and particles are provided by proper closure models. By examining the kinetic energy transfer due to the coupling forces from the macroscale to microscale fluid motion, closure models are obtained for the contributions of the coupling forces to the energy coupling. Due to the inviscid origin of the added-mass force, its contribution to the microscale kinetic energy does not contribute to dissipative transfer to fluid internal energy as was done by the quasi-steady force. Time scale analysis shows that when the particle is larger than a critical diameter, the diffusive-unsteady kernel decays at a time scale that is smaller than the Kolmogorov time scale. As a result, the computationally costly Basset-like integral form of diffusive-unsteady heat transfer can be simplified to a non-integral form. Conventionally, the fluid-to-particle volumetric heat capacity ratio is used to evaluate the relative importance of the unsteady heat transfer to the energy balance of the particles. Therefore, for gas-particle flows, where the fluid-to-particle volumetric heat capacity ratio is small, unsteady heat transfer is usually ignored. However, the present scaling analysis shows that for small fluid-to-particle volumetric heat capacity ratio, the importance of the unsteady heat transfer actually depends on the ratio between the particle size and the Kolmogorov scale. Furthermore, the particle mass loading multiplied by the heat capacity ratio is usually used to estimate the importance of the thermal two-way coupling effect. Through scaling argument, improved estimates are established for the energy coupling parameters of each energy exchange mechanism between the phases.},
doi = {10.1063/1.4942184},
journal = {Physics of Fluids},
number = 3,
volume = 28,
place = {United States},
year = {Wed Mar 09 00:00:00 EST 2016},
month = {Wed Mar 09 00:00:00 EST 2016}
}

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Works referenced in this record:

The multiphase particle-in-cell (MP-PIC) method for dense particulate flows
journal, April 1996


A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
journal, April 1999

  • Saurel, Richard; Abgrall, Rémi
  • Journal of Computational Physics, Vol. 150, Issue 2
  • DOI: 10.1006/jcph.1999.6187

Heat transfer from a rigid sphere in a nonuniform flow and temperature field
journal, September 1994

  • Michaelides, Efstathios E.; Feng, Zhigang
  • International Journal of Heat and Mass Transfer, Vol. 37, Issue 14
  • DOI: 10.1016/0017-9310(94)90308-5

Direct simulation of particle dispersion in a decaying isotropic turbulence
journal, September 1992


Preferential concentration of particles by turbulence
journal, May 1991

  • Squires, Kyle D.; Eaton, John K.
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5
  • DOI: 10.1063/1.858045

On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence
journal, April 1951

  • Corrsin, Stanley
  • Journal of Applied Physics, Vol. 22, Issue 4
  • DOI: 10.1063/1.1699986

Steady planar straining flow past a rigid sphere at moderate Reynolds number
journal, September 2002


Consistent modeling of interphase turbulent kinetic energy transfer in particle-laden turbulent flows
journal, August 2007

  • Xu, Ying; Subramaniam, Shankar
  • Physics of Fluids, Vol. 19, Issue 8
  • DOI: 10.1063/1.2756579

Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling
journal, January 2013

  • Ling, Y.; Haselbacher, A.; Balachandar, S.
  • Journal of Applied Physics, Vol. 113, Issue 1
  • DOI: 10.1063/1.4772744

Unsteady heat transfer from a sphere in a uniform cross-flow
journal, December 2001

  • Balachandar, S.; Ha, M. Y.
  • Physics of Fluids, Vol. 13, Issue 12
  • DOI: 10.1063/1.1416886

DNS study of turbulent transport at low Prandtl numbers in a channel flow
journal, May 2002


Transient phenomena in one-dimensional compressible gas–particle flows
journal, February 2009


Accurate numerical estimation of interphase momentum transfer in Lagrangian–Eulerian simulations of dispersed two-phase flows
journal, December 2007


Sediment flow in inclined vessels calculated using a multiphase particle-in-cell model for dense particle flows
journal, December 1998


The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows
journal, January 2000


Turbulent Dispersed Multiphase Flow
journal, January 2010


Modeling droplet dispersion and interphase turbulent kinetic energy transfer using a new dual-timescale Langevin model
journal, March 2007


Unsteady Heat Transfer From a Sphere at Small Peclet Numbers
journal, March 1996

  • Feng, Zhi-Gang; Michaelides, E. E.
  • Journal of Fluids Engineering, Vol. 118, Issue 1
  • DOI: 10.1115/1.2817522

Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number
journal, April 1992


Stochastic modelling of inertial particle dispersion by subgrid motion for LES of high Reynolds number pipe flow
journal, January 2007


Simulation of impulse effects from explosive charges containing metal particles
journal, April 2010


Modeling Interphase Turbulent Kinetic Energy Transfer in Lagrangian-Eulerian Spray Computations
journal, January 2006


Averaged equations for inviscid disperse two-phase flow
journal, May 1994


A multiscale model for dilute turbulent gas-particle flows based on the equilibration of energy concept
journal, March 2006

  • Xu, Ying; Subramaniam, Shankar
  • Physics of Fluids, Vol. 18, Issue 3
  • DOI: 10.1063/1.2180289

Importance of unsteady contributions to force and heating for particles in compressible flows. Part 2: Application to particle dispersal by blast waves
journal, November 2011


A scaling analysis of added-mass and history forces and their coupling in dispersed multiphase flows
journal, December 2013


Importance of unsteady contributions to force and heating for particles in compressible flows
journal, November 2011


Equation of motion for a drop or bubble in viscous compressible flows
journal, May 2012

  • Parmar, M.; Balachandar, S.; Haselbacher, A.
  • Physics of Fluids, Vol. 24, Issue 5
  • DOI: 10.1063/1.4719696

On the unsteady inviscid force on cylinders and spheres in subcritical compressible flow
journal, March 2008

  • Parmar, M.; Haselbacher, A.; Balachandar, S.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1873
  • DOI: 10.1098/rsta.2008.0027

Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow
journal, February 2011


Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments
journal, November 2012

  • Ling, Y.; Wagner, J. L.; Beresh, S. J.
  • Physics of Fluids, Vol. 24, Issue 11
  • DOI: 10.1063/1.4768815

Equation of motion for a sphere in non-uniform compressible flows
journal, April 2012

  • Parmar, M.; Haselbacher, A.; Balachandar, S.
  • Journal of Fluid Mechanics, Vol. 699
  • DOI: 10.1017/jfm.2012.109

A scaling analysis for point–particle approaches to turbulent multiphase flows
journal, September 2009


Equilibrium Eulerian approach for predicting the thermal field of a dispersion of small particles
journal, January 2005


Equation of motion for a small rigid sphere in a nonuniform flow
journal, January 1983


Works referencing / citing this record:

The coupling of deep convection with the resolved flow via the divergence of mass flux in the IFS
journal, April 2019

  • Malardel, Sylvie; Bechtold, Peter
  • Quarterly Journal of the Royal Meteorological Society, Vol. 145, Issue 722
  • DOI: 10.1002/qj.3528

Simulation and scaling analysis of a spherical particle-laden blast wave
journal, February 2018


Effect of the multiphase composition in a premixed fuel–air stream on wedge-induced oblique detonation stabilisation
journal, May 2018

  • Ren, Zhaoxin; Wang, Bing; Xiang, Gaoming
  • Journal of Fluid Mechanics, Vol. 846
  • DOI: 10.1017/jfm.2018.289

A two-phase mixing layer between parallel gas and liquid streams: multiphase turbulence statistics and influence of interfacial instability
journal, November 2018

  • Ling, Y.; Fuster, D.; Tryggvason, G.
  • Journal of Fluid Mechanics, Vol. 859
  • DOI: 10.1017/jfm.2018.825

Sound and turbulence modulation by particles in high-speed shear flows
journal, July 2019

  • Buchta, David A.; Shallcross, Gregory; Capecelatro, Jesse
  • Journal of Fluid Mechanics, Vol. 875
  • DOI: 10.1017/jfm.2019.467

Dynamics of rapidly depressurized multiphase shock tubes
journal, October 2019


Numerical analysis on interactions of vortex, shock wave, and exothermal reaction in a supersonic planar shear layer laden with droplets
journal, March 2018

  • Ren, Zhaoxin; Wang, Bing; Zheng, Longxi
  • Physics of Fluids, Vol. 30, Issue 3
  • DOI: 10.1063/1.5011708

Early Time Evolution of Circumferential Perturbation of Initial Particle Volume Fraction in Explosive Cylindrical Multiphase Dispersion
journal, April 2019

  • Fernández-Godino, M. Giselle; Ouellet, Frederick; Haftka, Raphael T.
  • Journal of Fluids Engineering, Vol. 141, Issue 9
  • DOI: 10.1115/1.4043055

A scalable Euler–Lagrange approach for multiphase flow simulation on spectral elements
journal, August 2019

  • Zwick, David; Balachandar, S.
  • The International Journal of High Performance Computing Applications, Vol. 34, Issue 3
  • DOI: 10.1177/1094342019867756