Accurate hydrodynamic force and torque correlations for prolate spheroids from Stokes regime to high Reynolds numbers

Sanjeevi, Sathish K.P.; Dietiker, Jean F.; Padding, Johan T.

doi:10.1016/j.cej.2022.136325

Accurate hydrodynamic force and torque correlations for prolate spheroids from Stokes regime to high Reynolds numbers

Journal Article · Wed Apr 20 00:00:00 EDT 2022 · Chemical Engineering Journal

DOI:https://doi.org/10.1016/j.cej.2022.136325· OSTI ID:1888545

^[1]; Dietiker, Jean F. ^[1]; ^[2]

National Energy Technology Lab. (NETL), Morgantown, WV (United States)
Delft University of Technology (Netherlands)

Detailed simulations of flow around various prolate spheroids are performed using multi-relaxation time lattice Boltzmann method (LBM). The simulations are performed in the Reynolds numbers range 0.1 ≤ Re ≤ 2000 at different incident angles 0°≤ φ ≤ 90° for various prolate spheroids of aspect ratios 1 ≤ λ ≤ 8. The Re is based on the volume equivalent sphere diameter. From the simulations, accurate correlations for average drag, lift and torque coefficients (C_D, C_L, and C_T respectively) are proposed. The mean deviations between the correlations and the simulation data for C_D, C_L, and C_T are 2%, 6.5%, and 4.7% respectively. Furthermore, the correlations are fitted with the physics in mind such that they can be extrapolated beyond the regimes simulated. The fits are designed such that correlations reduce to analytical (C_D and C_L) solutions available for prolate spheroids in the limit Re ≈ 0. At high Re, the correlations mimic the asymptotic flattening of C_D as for spheres and therefore, we expect the correlations to be valid until the critical Re (≈ 10⁵). Furthermore, extensive comparison of our correlations with other high-fidelity simulations from literature demonstrate the accuracy of our work compared to other correlations from literature. This work enables researchers to perform accurate unresolved Euler-Lagrangian simulations for a wide range of elongated particles.

View Accepted Manuscript (DOE)

Research Organization:: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE)

Grant/Contract Number:: 89243318CFE000003

OSTI ID:: 1888545

Journal Information:: Chemical Engineering Journal, Journal Name: Chemical Engineering Journal Journal Issue: NA Vol. 444; ISSN 1385-8947

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (35)

Nonspherical particles in a pseudo‐2D fluidized bed: Experimental study Mahajan, Vinay V.; Padding, Johan T.; Nijssen, Tim M. J. AIChE Journal, Vol. 64, Issue 5 https://doi.org/10.1002/aic.16078	journal	February 2018
Hydrodynamic forces on monodisperse assemblies of axisymmetric elongated particles: Orientation and voidage effects Sanjeevi, Sathish K. P.; Padding, Johan T. AIChE Journal, Vol. 66, Issue 6 https://doi.org/10.1002/aic.16951	journal	February 2020
Coupling particle scale model and SuperDEM‐CFD for multiscale simulation of biomass pyrolysis in a packed bed pyrolyzer Gao, Xi; Yu, Jia; Lu, Liqiang AIChE Journal, Vol. 67, Issue 4 https://doi.org/10.1002/aic.17139	journal	January 2021
Fluidization of elongated particles—Effect of multi‐particle correlations for drag, lift, and torque in CFD‐DEM Mema, Ivan; Padding, Johan T. AIChE Journal, Vol. 67, Issue 5 https://doi.org/10.1002/aic.17157	journal	January 2021
Forces and torques on a prolate spheroid: low-Reynolds-number and attack angle effects Andersson, Helge I.; Jiang, Fengjian Acta Mechanica, Vol. 230, Issue 2 https://doi.org/10.1007/s00707-018-2325-x	journal	November 2018
Drag coefficient and averaged Nusselt number of a scalene prolate ellipsoid Ke, Chunhai; Shu, Shi; Zhang, Hao Applied Mathematical Modelling, Vol. 64 https://doi.org/10.1016/j.apm.2018.07.055	journal	December 2018
Fluidisation characteristics of granular activated carbon in drinking water treatment applications Kramer, O. J. I.; van Schaik, C.; Dacomba-Torres, P. D. R. Advanced Powder Technology, Vol. 32, Issue 9 https://doi.org/10.1016/j.apt.2021.06.017	journal	September 2021
Drag and heat transfer coefficients for axisymmetric nonspherical particles: A LBM study Chen, Yong; Jiang, Pan; Xiong, Ting Chemical Engineering Journal, Vol. 424 https://doi.org/10.1016/j.cej.2021.130391	journal	November 2021
Non-spherical particles in a pseudo-2D fluidised bed: Modelling study Mahajan, Vinay V.; Nijssen, Tim M. J.; Kuipers, J. A. M. Chemical Engineering Science, Vol. 192 https://doi.org/10.1016/j.ces.2018.08.041	journal	December 2018
Lattice Boltzmann simulations to determine drag, lift and torque acting on non-spherical particles Hölzer, Andreas; Sommerfeld, Martin Computers & Fluids, Vol. 38, Issue 3 https://doi.org/10.1016/j.compfluid.2008.06.001	journal	March 2009
Drag, lift and torque coefficients for ellipsoidal particles: From low to moderate particle Reynolds numbers Ouchene, Rafik; Khalij, Mohammed; Tanière, Anne Computers & Fluids, Vol. 113 https://doi.org/10.1016/j.compfluid.2014.12.005	journal	May 2015
Drag forces and heat transfer coefficients for spherical, cuboidal and ellipsoidal particles in cross flow at sub-critical Reynolds numbers Richter, Andreas; Nikrityuk, Petr A. International Journal of Heat and Mass Transfer, Vol. 55, Issue 4 https://doi.org/10.1016/j.ijheatmasstransfer.2011.09.005	journal	January 2012
Derivation of drag and lift force and torque coefficients for non-spherical particles in flows Zastawny, Marian; Mallouppas, George; Zhao, Fan International Journal of Multiphase Flow, Vol. 39 https://doi.org/10.1016/j.ijmultiphaseflow.2011.09.004	journal	March 2012
Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers Sanjeevi, Sathish K. P.; Kuipers, J. A. M.; Padding, Johan T. International Journal of Multiphase Flow, Vol. 106 https://doi.org/10.1016/j.ijmultiphaseflow.2018.05.011	journal	September 2018
Development and validation of SuperDEM for non-spherical particulate systems using a superquadric particle method Gao, Xi; Yu, Jia; Portal, Ricardo J. F. Particuology https://doi.org/10.1016/j.partic.2020.11.007	journal	January 2021
New simple correlation formula for the drag coefficient of non-spherical particles Hölzer, Andreas; Sommerfeld, Martin Powder Technology, Vol. 184, Issue 3 https://doi.org/10.1016/j.powtec.2007.08.021	journal	June 2008
New correlations for heat and fluid flow past ellipsoidal and cubic particles at different angles of attack Richter, Andreas; Nikrityuk, Petr A. Powder Technology, Vol. 249 https://doi.org/10.1016/j.powtec.2013.08.044	journal	November 2013
Direct numerical simulation of coupled fluid flow and heat transfer for single particles and particle packings by a LBM-approach Kruggel-Emden, H.; Kravets, B.; Suryanarayana, M. K. Powder Technology, Vol. 294 https://doi.org/10.1016/j.powtec.2016.02.038	journal	June 2016
On the drag of freely falling non-spherical particles Bagheri, Gholamhossein; Bonadonna, Costanza Powder Technology, Vol. 301 https://doi.org/10.1016/j.powtec.2016.06.015	journal	November 2016
A new set of correlations of drag, lift and torque coefficients for non-spherical particles and large Reynolds numbers Ouchene, Rafik; Khalij, Mohammed; Arcen, Boris Powder Technology, Vol. 303 https://doi.org/10.1016/j.powtec.2016.07.067	journal	December 2016
On the drag coefficient and averaged Nusselt number of an ellipsoidal particle in a fluid Ke, Chunhai; Shu, Shi; Zhang, Hao Powder Technology, Vol. 325 https://doi.org/10.1016/j.powtec.2017.10.049	journal	February 2018
On the peculiar structure of a helical wake vortex behind an inclined prolate spheroid Jiang, Fengjian; Andersson, Helge I.; Gallardo, José P. Journal of Fluid Mechanics, Vol. 801 https://doi.org/10.1017/jfm.2016.428	journal	July 2016
On the orientational dependence of drag experienced by spheroids Sanjeevi, Sathish K. P.; Padding, Johan T. Journal of Fluid Mechanics, Vol. 820 https://doi.org/10.1017/jfm.2017.239	journal	May 2017
Correlations for inclined prolates based on highly resolved simulations Fröhlich, Konstantin; Meinke, Matthias; Schröder, Wolfgang Journal of Fluid Mechanics, Vol. 901 https://doi.org/10.1017/jfm.2020.482	journal	August 2020
Momentum transfer of a Boltzmann-lattice fluid with boundaries Bouzidi, M’hamed; Firdaouss, Mouaouia; Lallemand, Pierre Physics of Fluids, Vol. 13, Issue 11 https://doi.org/10.1063/1.1399290	journal	November 2001
The laminar wake behind a 6:1 prolate spheroid at 45° incidence angle Jiang, Fengjian; Gallardo, José P.; Andersson, Helge I. Physics of Fluids, Vol. 26, Issue 11 https://doi.org/10.1063/1.4902015	journal	November 2014
The transitional wake behind an inclined prolate spheroid Jiang, Fengjian; Gallardo, José P.; Andersson, Helge I. Physics of Fluids, Vol. 27, Issue 9 https://doi.org/10.1063/1.4929764	journal	September 2015
Numerical investigation on the flow around an inclined prolate spheroid Wang, Zhe; Yang, Jianzhi; Andersson, Helge I. Physics of Fluids, Vol. 33, Issue 7 https://doi.org/10.1063/5.0058516	journal	July 2021
Implementation of on-site velocity boundary conditions for D3Q19 lattice Boltzmann simulations Hecht, Martin; Harting, Jens Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 01 https://doi.org/10.1088/1742-5468/2010/01/P01018	journal	January 2010
Multiple–relaxation–time lattice Boltzmann models in three dimensions d'Humières, Dominique Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792 https://doi.org/10.1098/rsta.2001.0955	journal	March 2002
Statistical-learning method for predicting hydrodynamic drag, lift, and pitching torque on spheroidal particles Tajfirooz, S.; Meijer, J. G.; Kuerten, J. G. M. Physical Review E, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevE.103.023304	journal	February 2021
Inertial flow past a finite-length axisymmetric cylinder of aspect ratio 3: Effect of the yaw angle Pierson, Jean-Lou; Auguste, Franck; Hammouti, Abdelkader Physical Review Fluids, Vol. 4, Issue 4 https://doi.org/10.1103/PhysRevFluids.4.044802	journal	April 2019
Inertial torque on a small spheroid in a stationary uniform flow Jiang, F.; Zhao, L.; Andersson, H. I. Physical Review Fluids, Vol. 6, Issue 2 https://doi.org/10.1103/PhysRevFluids.6.024302	journal	February 2021
Flow structure and loads over inclined cylindrical rodlike particles and fibers Kharrouba, Mohammed; Pierson, Jean-Lou; Magnaudet, Jacques Physical Review Fluids, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevFluids.6.044308	journal	April 2021
Fluid Mechanics of Planktonic Microorganisms Guasto, Jeffrey S.; Rusconi, Roberto; Stocker, Roman Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101156	journal	January 2012

Similar Records

Rotation induced prolate spheroid above the critical temperature

Journal Article · Mon Jul 18 00:00:00 EDT 1994 · Physical Review Letters; (United States) · OSTI ID:7253066

Prolate spheroidal harmonic expansion of gravitational field

Journal Article · Sun Jun 01 00:00:00 EDT 2014 · Astronomical Journal (New York, N.Y. Online) · OSTI ID:22340223

Numerical micromagnetics; Prolate spheroids

Conference · Fri Sep 01 00:00:00 EDT 1989 · IEEE (Institute of Electrical and Electronics Engineers) Transactions on Magnetics; (USA) · OSTI ID:5175757

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
drag
lattice Boltzmann method
lift
non-spherical particles
torque correlations

Accurate hydrodynamic force and torque correlations for prolate spheroids from Stokes regime to high Reynolds numbers

Citation Formats

References (35)

Similar Records

Related Subjects