Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-01T03:53:08.511Z Has data issue: false hasContentIssue false
  • English
  • Français

On the transition between turbulence regimes in particle-laden channel flows

Published online by Cambridge University Press:  27 April 2018

Jesse Capecelatro Open the ORCID record for Jesse Capecelatro [Opens in a new window] ,
Olivier Desjardins  and
Rodney O. Fox Open the ORCID record for Rodney O. Fox [Opens in a new window]
Jesse Capecelatro*
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
Olivier Desjardins
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853-7501, USA
Rodney O. Fox
Affiliation:
Department of Chemical and Biological Engineering, 618 Bissell Road, Iowa State University, Ames, IA 50011-1098, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Turbulent wall-bounded flows exhibit a wide range of regimes with significant interaction between scales. The fluid dynamics associated with single-phase channel flows is predominantly characterized by the Reynolds number. Meanwhile, vastly different behaviour exists in particle-laden channel flows, even at a fixed Reynolds number. Vertical turbulent channel flows seeded with a low concentration of inertial particles are known to exhibit segregation in the particle distribution without significant modification to the underlying turbulent kinetic energy (TKE). At moderate (but still low) concentrations, enhancement or attenuation of fluid-phase TKE results from increased dissipation and wakes past individual particles. Recent studies have shown that denser suspensions significantly alter the two-phase dynamics, where the majority of TKE is generated by interphase coupling (i.e.  drag) between the carrier gas and clusters of particles that fall near the channel wall. In the present study, a series of simulations of vertical particle-laden channel flows with increasing mass loading is conducted to analyse the transition from the dilute limit where classical mean-shear production is primarily responsible for generating fluid-phase TKE to high-mass-loading suspensions dominated by drag production. Eulerian–Lagrangian simulations are performed for a wide range of particle loadings at two values of the Stokes number, and the corresponding two-phase energy balances are reported to identify the mechanisms responsible for the observed transition.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Turbulent Flows: Turbulent Flows Turbulent Flows: Turbulent transition
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , pp. 499 - 519
Check for updates
Copyright
© 2018 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Agrawal, K., Loezos, P. N., Syamlal, M. & Sundaresan, S. 2001 The role of meso-scale structures in rapid gas–solid flows. J. Fluid Mech. 445, 151–185.Google Scholar
Anderson, T. B. & Jackson, R. 1967 Fluid mechanical description of fluidized beds. Equations of motion. Ind. Engng Chem. Fundam. 6 (4), 527–539.CrossRefGoogle Scholar
Balachandar, S. & Eaton, J. K. 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111–133.Google Scholar
Capecelatro, J. & Desjardins, O. 2013 An Euler–Lagrange strategy for simulating particle-laden flows. J. Comput. Phys. 238, 1–31.Google Scholar
Capecelatro, J. & Desjardins, O. 2015 Mass loading effects on turbulence modulation by particle clustering in dilute and moderately dilute channel flows. J. Fluids Engng 137, 1–8.Google Scholar
Capecelatro, J., Desjardins, O. & Fox, R. O. 2014a Numerical study of collisional particle dynamics in cluster-induced turbulence. J. Fluid Mech. 747, R2.Google Scholar
Capecelatro, J., Desjardins, O. & Fox, R. O. 2015 On fluid–particle dynamics in fully developed cluster-induced turbulence. J. Fluid Mech. 780, 578–635.Google Scholar
Capecelatro, J., Desjardins, O. & Fox, R. O. 2016a Strongly coupled fluid-particle flows in vertical channels. I. Reynolds-averaged two-phase statistics. Phys. Fluids 28, 033306.Google Scholar
Capecelatro, J., Desjardins, O. & Fox, R. O. 2016b Strongly coupled fluid-particle flows in vertical channels. II. Turbulence modeling. Phys. Fluids 28, 033307.Google Scholar
Capecelatro, J., Pepiot, P. & Desjardins, O. 2014b Numerical characterization and modeling of particle clustering in wall-bounded vertical risers. Chem. Engng J. 245, 295–310.CrossRefGoogle Scholar
Cundall, P. A. & Strack, O. D. L. 1979 A discrete numerical model for granular assemblies. Geotechnique 29 (1), 47–65.Google Scholar
Desjardins, O., Blanquart, G., Balarac, G. & Pitsch, H. 2008 High order conservative finite difference scheme for variable density low Mach number turbulent flows. J. Comput. Phys. 227 (15), 7125–7159.Google Scholar
Dritselis, C. D. 2016 Direct numerical simulation of particle-laden turbulent channel flows with two-and four-way coupling effects: budgets of Reynolds stress and streamwise enstrophy. Fluid Dyn. Res. 48 (1), 015507.Google Scholar
Fessler, J. R., Kulick, J. D. & Eaton, J. K. 1994 Preferential concentration of heavy particles in a turbulent channel flow. Phys. Fluids 6 (11), 3742–3749.Google Scholar
Février, P., Simonin, O. & Squires, K. D. 2005 Partitioning of particle velocities in gas–solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: theoretical formalism and numerical study. J. Fluid Mech. 533, 1–46.Google Scholar
Fox, R. O. 2014 On multiphase turbulence models for collisional fluid–particle flows. J. Fluid Mech. 742, 368–424.Google Scholar
García-Villalba, M., Kidanemariam, A. G. & Uhlmann, M. 2012 DNS of vertical plane channel flow with finite-size particles: voronoi analysis, acceleration statistics and particle-conditioned averaging. Intl J. Multiphase Flow 46, 54–74.Google Scholar
Gibilaro, L. G., Gallucci, K., Di Felice, R. & Pagliai, P. 2007 On the apparent viscosity of a fluidized bed. Chem. Engng Sci. 62 (1-2), 294–300.Google Scholar
Glasser, B. J., Sundaresan, S. & Kevrekidis, I. G. 1998 From bubbles to clusters in fluidized beds. Phys. Rev. Lett. 81, 1849.Google Scholar
Gualtieri, P., Battista, F. & Casciola, C. M. 2017 Turbulence modulation in heavy-loaded suspensions of tiny particles. Phys. Rev. Fluids 2 (3), 034304.Google Scholar
Gualtieri, P., Picano, F., Sardina, G. & Casciola, C. M. 2013 Clustering and turbulence modulation in particle-laden shear flows. J. Fluid Mech. 715, 134–162.Google Scholar
Igci, Y., Andrews, A. T., Sundaresan, S., Pannala, S. & O’Brien, T. 2008 Filtered two-fluid models for fluidized gas-particle suspensions. AIChE J. 54 (6), 1431–1448.Google Scholar
Jenkins, J. T. & Savage, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid Mech. 130, 187–202.CrossRefGoogle Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.CrossRefGoogle Scholar
Kulick, J. D., Fessler, J. R. & Eaton, J. K. 1994 Particle response and turbulence modification in fully developed channel flow. J. Fluid Mech. 277, 109–134.Google Scholar
Lashgari, I., Picano, F., Breugem, W. P. & Brandt, L. 2016 Channel flow of rigid sphere suspensions: particle dynamics in the inertial regime. Intl J. Multiphase Flow 78, 12–24.Google Scholar
Lashgari, I., Picano, F., Costa, P., Breugem, W. P. & Brandt, L. 2017 Turbulent channel flow of a dense binary mixture of rigid particles. J. Fluid Mech. 818, 623–645.Google Scholar
Marchioli, C. & Soldati, A. 2002 Mechanisms for particle transfer and segregation in a turbulent boundary layer. J. Fluid Mech. 468, 283–315.Google Scholar
Ozel, A., Fede, P. & Simonin, O. 2013 Development of filtered Euler–Euler two-phase model for circulating fluidised bed: high resolution simulation, formulation and a priori analyses. Intl J. Multiphase Flow 55, 43–63.Google Scholar
Passalacqua, A., Galvin, J. E., Vedula, P., Hrenya, C. M. & Fox, R. O. 2011 A quadrature-based kinetic model for dilute non-isothermal granular flows. Commun. Comput. Phys. 10 (1), 216–252.Google Scholar
Picano, F., Breugem, W. P. & Brandt, L. 2015 Turbulent channel flow of dense suspensions of neutrally buoyant spheres. J. Fluid Mech. 764, 463–487.Google Scholar
Picciotto, M., Marchioli, C. & Soldati, A. 2005 Characterization of near-wall accumulation regions for inertial particles in turbulent boundary layers. Phys. Fluids 17, 098101.Google Scholar
Pitton, E., Marchioli, C., Lavezzo, V., Soldati, A. & Toschi, F. 2012 Anisotropy in pair dispersion of inertial particles in turbulent channel flow. Phys. Fluids 24 (7), 073305.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.Google Scholar
Richter, D. H. 2015 Turbulence modification by inertial particles and its influence on the spectral energy budget in planar Couette flow. Phys. Fluids 27 (6), 063304.Google Scholar
Rouson, D. W. I. & Eaton, J. K. 2001 On the preferential concentration of solid particles in turbulent channel flow. J. Fluid Mech. 428, 149–169.Google Scholar
Santarelli, C., Roussel, J. & Fröhlich, J. 2016 Budget analysis of the turbulent kinetic energy for bubbly flow in a vertical channel. Chem. Engng Sci. 141, 46–62.Google Scholar
Tanaka, M. 2017 Effect of gravity on the development of homogeneous shear turbulence laden with finite-size particles. J. Turbul. 18, 1–36.Google Scholar
Tenneti, S., Garg, R., Hrenya, C. M., Fox, R. O. & Subramaniam, S. 2010 Direct numerical simulation of gas–solid suspensions at moderate Reynolds number: quantifying the coupling between hydrodynamic forces and particle velocity fluctuations. Powder Technol. 203 (1), 57–69.Google Scholar
Tenneti, S., Garg, R. & Subramaniam, S. 2011 Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres. Intl J. Multiphase Flow 37 (9), 1072–1092.Google Scholar
Vreman, A. W. 2007 Turbulence characteristics of particle-laden pipe flow. J. Fluid Mech. 584, 235–279.Google Scholar
Vreman, B., Geurts, B. J., Deen, N. G., Kuipers, J. A. M. & Kuerten, J. G. M. 2009 Two-and four-way coupled Euler–Lagrangian large-eddy simulation of turbulent particle-laden channel flow.. Flow Turbul. Combust. 82 (1), 47–71.Google Scholar
Wang, Q. & Squires, K. D. 1996 Large eddy simulation of particle-laden turbulent channel flow. Phys. Fluids 8, 1207–1223.Google Scholar
Yamamoto, Y., Potthoff, M., Tanaka, T., Kajishima, T. & Tsuji, Y. 2001 Large-eddy simulation of turbulent gas–particle flow in a vertical channel: effect of considering inter-particle collisions. J. Fluid Mech. 442, 303–334.Google Scholar
Zhao, L., Andersson, H. I. & Gillissen, J. J. 2013 Interphasial energy transfer and particle dissipation in particle-laden wall turbulence. J. Fluid Mech. 715, 32–59.Google Scholar