Abstract.
Particle-laden turbulent flows occur in a variety of industrial applications as well as in naturally occurring flows. While the numerical simulation of such flows has seen significant advances in recent years, it still remains a challenging problem. Many studies investigated the rheology of dense suspensions in laminar flows as well as the dynamics of point-particles in turbulence. Here we employ a fully-resolved numerical simulation based on a lattice Boltzmann scheme, to investigate turbulent flow with large neutrally buoyant particles in a pipe flow at low Reynolds number and in dilute regimes. The energy input is kept fixed resulting in a Reynolds number based on the friction velocity around 250. Two different particle radii were used giving a particle-pipe diameter ratio of 0.05 and 0.075. The number of particles is kept constant resulting in a volume fraction of 0.54% and 1.83%, respectively. We investigated Eulerian and Lagrangian statistics along with the stresslet exerted by the fluid on the spherical particles. It was observed that the high particle-to-fluid slip velocity close to the wall corresponds locally to events of high energy dissipation, which are not present in the single-phase flow. The migration of particles from the inner to the outer region of the pipe, the dependence of the stresslet on the particle radial positions and a proxy for the fragmentation rate of the particles computed using the stresslet have been investigated.
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References
C.T. Crowe, J.D. Schwarzkopf, M. Sommerfeld, Y. Tsuji, Multiphase Flows with Droplets and Particles (Taylor & Francis, 1997)
C.E. Brennen, Fundamentals of Multiphase Flow (Cambridge University Press, 2005)
O.N. Ross, Algal Motility in Variable Turbulence, PhD Thesis, University of Southampton Abstract Faculty, 2004
C. Gudin, D. Chaumont, Bioresour. Technol. 38, 145 (1991)
M.H.A. Michels, A.J. van der Goot, N.H. Norsker, R.H. Wijffels, Bioprocess Biosyst. Eng. 33, 921 (2010)
E. Molina Grima, F.G. Acié, J. Biotechnol. 70, 231 (1999)
A. Contreras, F. Garca, E. Molina, J.C. Merchuk, Biotechnol. Bioeng. 60, 317 (1998)
E. Molina, J.M. Fernandez-Sevilla, G. Acien, Microalgae, mass culture methods, Encyclopedia of Industrial Biotechnology (John Wiley & Sons, 2010) pp. 1--24
L.I. Zaichik, V.M. Alipchenkov, E.G. Sinaiski, Particles in Turbulent Flows (Wiley, 2008)
F. Toschi, E. Bodenschatz, Annu. Rev. Fluid Mech. 41, 375 (2009)
S. Balachandar, John K. Eaton, Annu. Rev. Fluid Mech. 42, 111 (2010)
A. Gupta, H.J.H. Clercx, F. Toschi, Commun. Comput. Phys. 23, 665 (2018)
M. Uhlmann, Investigating turbulent particulate channel flow with interface-resolved DNS, in 6th International Conference on Multiphase Flow, ICMF 2007, Leipzig, Germany, July 2007, edited by M. Sommerfeld, http://www-cfd.ifh.uni-karlsruhe.de/uhlmann/particle/report/icmf07.pdf
M. Uhlmann, Phys. Fluids 20, 053305 (2008)
A.G. Kidanemariam, C. Chan-Braun, T. Doychev, M. Uhlmann, New J. Phys. 15, 025031 (2013)
X. Shao, T. Wu, Z. Yu, J. Fluid Mech. 693, 319 (2012)
I. Lashgari, F. Picano, W.P. Breugem, L. Brandt, Phys. Rev. Lett. 113, 254502 (2014)
F. Picano, W.P. Breugem, L. Brandt, J. Fluid Mech. 764, 463 (2015)
W. Fornari, A. Formenti, F. Picano, L. Brandt, Phys. Fluids 28, 033301 (2016)
P. Costa, F. Picano, L. Brandt, W.P. Breugem, Phys. Rev. Lett. 117, 134501 (2016)
I. Lashgari, F. Picano, L. Brandt, Theor. Appl. Mech. Lett. 5, 121 (2015)
V. Loisel, M. Abbas, O. Masbernat, E. Climent, Phys. Fluids 25, 123304 (2013)
Z. Yu, T. Wu, X. Shao, J. Lin, Phys. Fluids 25, 43305 (2013)
F. Janoschek, F. Toschi, J. Harting, Phys. Rev. E 82, 056710 (2010)
F. Janoschek, F. Toschi, J. Harting, Macromol. Theory Simul. 20, 562 (2011)
T. Krüger, B. Kaoui, J. Harting, J. Fluid Mech. 751, 725 (2014)
M. Do-Quang, G. Amberg, G. Brethouwer, A.V. Johansson, Phys. Rev. E 89, 013006 (2014)
A. Ten Cate, J.J. Derksen, L.M. Portela, H.E.A. Van Den Akker, Andreas Ten Cate, Jos J. Derksen, Luis M. Portela, Harry E.a. Van Den Akker, J. Fluid Mech. 519, 233 (2004)
H. Gao, H. Li, L.P. Wang, Comput. Math. Appl. 65, 194 (2013)
Lian-Ping Wang, Cheng Peng, Zhaoli Guo, Zhaosheng Yu, J. Fluids Eng. 138, 041306 (2015)
M.U. Bäbler, M. Morbidelli, Jerzy Baldyga, J. Fluid Mech. 612, 261 (2008)
M.U. Babler, L. Biferale, L. Brandt, U. Feudel, K. Guseva, A.S. Lanotte, C. Marchioli, F. Picano, G. Sardina, A. Soldati, F. Toschi, J. Fluid Mech. 766, 104 (2015)
M.U. Babler, L. Biferale, A.S. Lanotte, Phys. Rev. E 85, 025301 (2012)
C. Marchioli, A. Soldati, Phys. Rev. E 91, 053003 (2015)
G. Segré, A. Silberberg, J. Fluid Mech. 14, 115 (1962)
G. Segré, A. Silberberg, J. Fluid Mech. 14, 136 (1962)
D.D. Joseph, D. Ocando, J. Fluid Mech. 454, 263 (2002)
J.P. Matas, J.F. Morris, E. Guazzelli, J. Fluid Mech. 515, 171 (2004)
J.P. Matas, J.F. Morris, E. Guazzelli, J. Fluid Mech. 621, 59 (2009)
S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation), 1st edition (Oxford University Press, 2001)
F.J. Higuera, S. Succi, Europhys. Lett. 8, 517 (1989)
F.J. Higuera, S. Succi, R. Benzi, Europhys. Lett. 9, 345 (1989)
Z. Guo, C. Shu, Lattice Boltzmann Method and Its Applications in Engineering (World Scientific Publishing Company, 2013)
S.K. Kang, Y.A. Hassan, J. Comput. Phys. 232, 100 (2013)
A.J.C. Ladd, J. Fluid Mech. 271, 285 (1994)
C.K. Aidun, Y. Lu, E.J. Ding, J. Fluid Mech. 373, 287 (1998)
Y. Chen, Q. Cai, Z. Xia, M. Wang, S. Chen, Phys. Rev. E 88, 013303 (2013)
M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids (Clarendon Press, New York, USA, 1989)
Chen-Jung Lin, James H. Peery, W.R. Schowalter, J. Fluid Mech. 44, 117 (1970)
H.A. Stone, J.F. Brady, P.M. Lovalenti, Inertial effects on the rheology of suspensions and on the motion of individual particles, preprint
Duane R. Mikulencak, Jeffrey F. Morris, J. Fluid Mech. 520, 215 (2004)
J.G.M. Eggels, F. Unger, M.H. Weiss, J. Westerweel, R.J. Adrian, R. Friedrich, F.T.M. Nieuwstadt, J. Fluid Mech. 268, 175 (1994)
T.-H. Wu, X.-M. Shao, Z.-S. Yu, J. Hydrodyn. 23, 21 (2011)
P. Costa, F. Picano, L. Brandt, W.P. Breugem, Effects of the finite particle size in turbulent wall-bounded flows of dense suspensions, arXiv:1703.06036 [physics.flu-dyn].
M.U. Babler, M. Morbidelli, J. Colloid Interface Sci. 316, 428 (2007)
E. Molina, F.G. Acié, J. Appl. Phycol. 12, 355 (2000)
T. Kruger, F. Varnik, D. Raabe, Comput. Math. Appl. 61, 3485 (2011) (Mesoscopic Methods for Engineering and Science, Proceedings of ICMMES-09
R.M. MacMeccan, J.R. Clausen, G.P. Neitzel, C.K. Aidun, J. Fluid Mech. 618, 13 (2009)
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Gupta, A., Clercx, H.J.H. & Toschi, F. Computational study of radial particle migration and stresslet distributions in particle-laden turbulent pipe flow. Eur. Phys. J. E 41, 34 (2018). https://doi.org/10.1140/epje/i2018-11638-3
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DOI: https://doi.org/10.1140/epje/i2018-11638-3