Experimental investigation of cross flow mixing in a randomly packed bed and streamwise vortex characteristics using particle image velocimetry and proper orthogonal decomposition analysis
Abstract
The study of flow and heat transfer through porous media or randomly packed beds is important as these configurations are widely used in many engineering applications, for example, heat energy storage, chemical catalytic reactors, and nuclear reactors. The flow mixing characteristics in a cross-flow plane of a facility with randomly packed spheres at an aspect ratio of 6.3 were experimentally investigated. The velocity fields at several regions of the cross-flow plane located in the vicinity of the wall and in the pores between spheres were obtained by applying the matched-index-of-refraction and time-resolved particle image velocimetry (TR-PIV) techniques for Reynolds numbers ranging from 700 to 1700. The TR-PIV results revealed various flow patterns in the transverse plane of the packed spheres, including swirling flow structures aligned with the axial flow direction, a strong bypass flow near the enclosure wall, and a circulation region created when the bypass flow ejected into a large spatial gap. When the Reynolds number was increased, the peaks of root-mean-square fluctuating velocities, $$u'_{rms}$$ and $$v'_{rms}$$, were found to increase approximately at the same ratio as the increase in Reynolds number, and the magnitude of the Reynolds stress increased considerably. In addition, the characteristics of flow mixing in different flow regions were investigated via the two-point cross-correlation of fluctuating velocities. Using Taylor’s hypothesis, the vorticity iso-surfaces were constructed. Thus, constructed iso-surfaces showed that shear layers generated from the bypass flow gaps were stretched, broken into smaller flow structures, and then evolved as vortex pairs when entering the neighboring gaps. The results obtained by applying proper orthogonal decomposition (POD) analysis to the velocity fields showed that the statistically dominant flow structures had approximately the same size and shape as those depicted by Taylor’s hypothesis. Vortex characteristics, such as populations, spatial distributions, and strengths, for various spatial regions and Reynolds numbers were obtained by a combination of POD analysis and vortex identification.
- Authors:
-
- Texas A & M Univ., College Station, TX (United States). Dept. of Nuclear Engineering
- Texas A & M Univ., College Station, TX (United States). Dept. of Mechanical Engineering
- Texas A & M Univ., College Station, TX (United States). Dept. of Nuclear Engineering and Dept. of Mechanical Engineering
- Publication Date:
- Research Org.:
- Texas A&M Univ., College Station, TX (United States)
- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)
- OSTI Identifier:
- 1570692
- Grant/Contract Number:
- NE0008550
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 2; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Nguyen, Thien, Muyshondt, Robert, Hassan, Yassin, and Anand, N. K. Experimental investigation of cross flow mixing in a randomly packed bed and streamwise vortex characteristics using particle image velocimetry and proper orthogonal decomposition analysis. United States: N. p., 2019.
Web. doi:10.1063/1.5079303.
Nguyen, Thien, Muyshondt, Robert, Hassan, Yassin, & Anand, N. K. Experimental investigation of cross flow mixing in a randomly packed bed and streamwise vortex characteristics using particle image velocimetry and proper orthogonal decomposition analysis. United States. https://doi.org/10.1063/1.5079303
Nguyen, Thien, Muyshondt, Robert, Hassan, Yassin, and Anand, N. K. Fri .
"Experimental investigation of cross flow mixing in a randomly packed bed and streamwise vortex characteristics using particle image velocimetry and proper orthogonal decomposition analysis". United States. https://doi.org/10.1063/1.5079303. https://www.osti.gov/servlets/purl/1570692.
@article{osti_1570692,
title = {Experimental investigation of cross flow mixing in a randomly packed bed and streamwise vortex characteristics using particle image velocimetry and proper orthogonal decomposition analysis},
author = {Nguyen, Thien and Muyshondt, Robert and Hassan, Yassin and Anand, N. K.},
abstractNote = {The study of flow and heat transfer through porous media or randomly packed beds is important as these configurations are widely used in many engineering applications, for example, heat energy storage, chemical catalytic reactors, and nuclear reactors. The flow mixing characteristics in a cross-flow plane of a facility with randomly packed spheres at an aspect ratio of 6.3 were experimentally investigated. The velocity fields at several regions of the cross-flow plane located in the vicinity of the wall and in the pores between spheres were obtained by applying the matched-index-of-refraction and time-resolved particle image velocimetry (TR-PIV) techniques for Reynolds numbers ranging from 700 to 1700. The TR-PIV results revealed various flow patterns in the transverse plane of the packed spheres, including swirling flow structures aligned with the axial flow direction, a strong bypass flow near the enclosure wall, and a circulation region created when the bypass flow ejected into a large spatial gap. When the Reynolds number was increased, the peaks of root-mean-square fluctuating velocities, $u'_{rms}$ and $v'_{rms}$, were found to increase approximately at the same ratio as the increase in Reynolds number, and the magnitude of the Reynolds stress increased considerably. In addition, the characteristics of flow mixing in different flow regions were investigated via the two-point cross-correlation of fluctuating velocities. Using Taylor’s hypothesis, the vorticity iso-surfaces were constructed. Thus, constructed iso-surfaces showed that shear layers generated from the bypass flow gaps were stretched, broken into smaller flow structures, and then evolved as vortex pairs when entering the neighboring gaps. The results obtained by applying proper orthogonal decomposition (POD) analysis to the velocity fields showed that the statistically dominant flow structures had approximately the same size and shape as those depicted by Taylor’s hypothesis. Vortex characteristics, such as populations, spatial distributions, and strengths, for various spatial regions and Reynolds numbers were obtained by a combination of POD analysis and vortex identification.},
doi = {10.1063/1.5079303},
journal = {Physics of Fluids},
number = 2,
volume = 31,
place = {United States},
year = {Fri Feb 01 00:00:00 EST 2019},
month = {Fri Feb 01 00:00:00 EST 2019}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Flow visualization in a pebble bed reactor experiment using PIV and refractive index matching techniques
journal, November 2008
- Hassan, Yassin A.; Dominguez-Ontiveros, E. E.
- Nuclear Engineering and Design, Vol. 238, Issue 11
PIV measurements of turbulent flows in a 61-pin wire-wrapped hexagonal fuel bundle
journal, June 2017
- Nguyen, Thien; Goth, Nolan; Jones, Philip
- International Journal of Heat and Fluid Flow, Vol. 65
Measurements of Transitional and Turbulent Flow in a Randomly Packed Bed of Spheres with Particle Image Velocimetry
journal, November 2016
- Khayamyan, Shervin; Lundström, T. Staffan; Hellström, J. Gunnar I.
- Transport in Porous Media, Vol. 116, Issue 1
Prediction of cross flow mixing in the structured packed bed through CFD simulation using (FBM and PMM) and validation with experiments
journal, October 2016
- Alkhalaf, A.; Specht, E.
- Engineering Applications of Computational Fluid Mechanics, Vol. 11, Issue 1
Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry
journal, July 2005
- Carlier, Johan; Stanislas, Michel
- Journal of Fluid Mechanics, Vol. 535
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
journal, January 1993
- Berkooz, G.
- Annual Review of Fluid Mechanics, Vol. 25, Issue 1
Statistical mechanics with three-dimensional particle tracking velocimetry experiments in the study of anomalous dispersion. II. Experiments
journal, January 2001
- Moroni, Monica; Cushman, John H.
- Physics of Fluids, Vol. 13, Issue 1
Evaluation of the performance of high-speed PIV compared to standard PIV in a turbulent jet
journal, May 2009
- Falchi, M.; Romano, G. P.
- Experiments in Fluids, Vol. 47, Issue 3
Intermittent vortex structures in homogeneous isotropic turbulence
journal, March 1990
- She, Zhen-Su; Jackson, Eric; Orszag, Steven A.
- Nature, Vol. 344, Issue 6263
Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows
journal, August 2001
- Graftieaux, Laurent; Michard, Marc; Grosjean, Nathalie
- Measurement Science and Technology, Vol. 12, Issue 9
Optical measurements of pore geometry and fluid velocity in a bed of irregularly packed spheres
journal, March 2008
- Huang, Alice Y. L.; Huang, Michelle Y. F.; Capart, Hervé
- Experiments in Fluids, Vol. 45, Issue 2
Robust smoothing of gridded data in one and higher dimensions with missing values
journal, April 2010
- Garcia, Damien
- Computational Statistics & Data Analysis, Vol. 54, Issue 4
Collaborative framework for PIV uncertainty quantification: the experimental database
journal, June 2015
- Neal, Douglas R.; Sciacchitano, Andrea; Smith, Barton L.
- Measurement Science and Technology, Vol. 26, Issue 7
Transverse mixing of conservative and reactive tracers in porous media: Quantification through the concepts of flux-related and critical dilution indices: FLUX-RELATED AND CRITICAL DILUTION INDICES
journal, February 2011
- Chiogna, Gabriele; Cirpka, Olaf A.; Grathwohl, Peter
- Water Resources Research, Vol. 47, Issue 2
Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio
journal, April 2013
- Charonko, John J.; Vlachos, Pavlos P.
- Measurement Science and Technology, Vol. 24, Issue 6
Collaborative framework for PIV uncertainty quantification: comparative assessment of methods
journal, June 2015
- Sciacchitano, Andrea; Neal, Douglas R.; Smith, Barton L.
- Measurement Science and Technology, Vol. 26, Issue 7
Time-resolved PIV measurements in a low-aspect ratio facility of randomly packed spheres and flow analysis using modal decomposition
journal, July 2018
- Nguyen, Thien; Kappes, Ethan; King, Stephen
- Experiments in Fluids, Vol. 59, Issue 8
A Macroscopic Turbulence Model for Flow in a Porous Medium
journal, June 1999
- Nakayama, A.; Kuwahara, F.
- Journal of Fluids Engineering, Vol. 121, Issue 2
Optical measurements of porosity and fluid motion in packed beds
journal, January 1986
- Stephenson, J. L.; Stewart, W. E.
- Chemical Engineering Science, Vol. 41, Issue 8
Prediction of the low-velocity distribution from the pore structure in simple porous media
journal, December 2017
- de Anna, Pietro; Quaife, Bryan; Biros, George
- Physical Review Fluids, Vol. 2, Issue 12
Digital particle image velocimetry (DPIV) robust phase correlation
journal, April 2009
- Eckstein, Adric; Vlachos, Pavlos P.
- Measurement Science and Technology, Vol. 20, Issue 5
Fundamental Models for Fuel Cell Engineering
journal, October 2004
- Wang, Chao-Yang
- Chemical Reviews, Vol. 104, Issue 10
Mixing and Reaction Kinetics in Porous Media: An Experimental Pore Scale Quantification
journal, December 2013
- Anna, Pietro de; Jimenez-Martinez, Joaquin; Tabuteau, Hervé
- Environmental Science & Technology, Vol. 48, Issue 1
On the vortical structure in a round jet
journal, February 2005
- Matsuda, Tadashi; Sakakibara, Jun
- Physics of Fluids, Vol. 17, Issue 2
Measurement and analysis of the turbulent length scales in jet flows
journal, September 2010
- Kerhervé, F.; Fitzpatrick, J.
- Experiments in Fluids, Vol. 50, Issue 3
The role of porous media in modeling flow and heat transfer in biological tissues
journal, December 2003
- Khaled, A. -R. A.; Vafai, K.
- International Journal of Heat and Mass Transfer, Vol. 46, Issue 26
A fast all-in-one method for automated post-processing of PIV data
journal, October 2010
- Garcia, Damien
- Experiments in Fluids, Vol. 50, Issue 5
Comparison of vortex identification criteria for planar velocity fields in wall turbulence
journal, August 2015
- Chen, Qigang; Zhong, Qiang; Qi, Meilan
- Physics of Fluids, Vol. 27, Issue 8
A method for characterizing cross-sections of vortices in turbulent flows
journal, October 2012
- Maciel, Yvan; Robitaille, Martin; Rahgozar, Saeed
- International Journal of Heat and Fluid Flow, Vol. 37
Pore-Scale Mixing and Transverse Dispersivity of Randomly Packed Monodisperse Spheres
journal, May 2013
- Scheven, U. M.
- Physical Review Letters, Vol. 110, Issue 21
Direct Numerical Simulation of Pebble Bed Flows: Database Development and Investigation of Low-Frequency Temporal Instabilities
journal, February 2017
- Fick, Lambert H.; Merzari, Elia; Hassan, Yassin A.
- Journal of Fluids Engineering, Vol. 139, Issue 5
Flow characterization using PIV measurements in a low aspect ratio randomly packed porous bed
journal, March 2013
- Patil, Vishal A.; Liburdy, James A.
- Experiments in Fluids, Vol. 54, Issue 4
PIV uncertainty propagation
journal, June 2016
- Sciacchitano, Andrea; Wieneke, Bernhard
- Measurement Science and Technology, Vol. 27, Issue 8
Stereoscopic particle image velocimetry measurements of flow in a rod bundle with a spacer grid and mixing vanes at a low Reynolds number
journal, October 2017
- Nguyen, Thien; Hassan, Yassin
- International Journal of Heat and Fluid Flow, Vol. 67
Large eddy simulation in pebble bed gas cooled core reactors
journal, March 2008
- Hassan, Yassin A.
- Nuclear Engineering and Design, Vol. 238, Issue 3
A comparison of measured and modeled velocity fields for a laminar flow in a porous medium
journal, November 2015
- Wood, B. D.; Apte, S. V.; Liburdy, J. A.
- Advances in Water Resources, Vol. 85
Turbulent flow characteristics in a randomly packed porous bed based on particle image velocimetry measurements
journal, April 2013
- Patil, Vishal A.; Liburdy, James A.
- Physics of Fluids, Vol. 25, Issue 4
Radial porosity distribution in cylindrical beds packed with spheres
journal, May 1983
- Goodling, J. S.; Vachon, R. I.; Stelpflug, W. S.
- Powder Technology, Vol. 35, Issue 1
Quasi-direct numerical simulation of a pebble bed configuration. Part I: Flow (velocity) field analysis
journal, October 2013
- Shams, A.; Roelofs, F.; Komen, E. M. J.
- Nuclear Engineering and Design, Vol. 263
Optical measurement uncertainties due to refractive index mismatch for flow in porous media
journal, September 2012
- Patil, Vishal A.; Liburdy, James A.
- Experiments in Fluids, Vol. 53, Issue 5
Axial and radial dispersion in fixed beds
journal, January 1987
- Gunn, D. J.
- Chemical Engineering Science, Vol. 42, Issue 2
Quasi-direct numerical simulation of a pebble bed configuration, Part-II: Temperature field analysis
journal, October 2013
- Shams, A.; Roelofs, F.; Komen, E. M. J.
- Nuclear Engineering and Design, Vol. 263
Effective heat transfer parameters for transient packed-bed models
journal, May 1986
- Dixon, A. G.; Cresswell, D. L.
- AIChE Journal, Vol. 32, Issue 5
Uncertainty on PIV mean and fluctuating velocity due to bias and random errors
journal, February 2013
- Wilson, Brandon M.; Smith, Barton L.
- Measurement Science and Technology, Vol. 24, Issue 3
A general classification of three‐dimensional flow fields
journal, May 1990
- Chong, M. S.; Perry, A. E.; Cantwell, B. J.
- Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 5
Impact of diffusion on transverse dispersion in two-dimensional ordered and random porous media
journal, June 2017
- Hlushkou, Dzmitry; Piatrusha, Stanislau; Tallarek, Ulrich
- Physical Review E, Vol. 95, Issue 6
Stereoscopic PIV measurements of near-wall flow in a tightly packed rod bundle with wire spacers
journal, April 2018
- Nguyen, Thien; Goth, Nolan; Jones, Philip
- Experimental Thermal and Fluid Science, Vol. 92
Reaction chain modeling of denitrification reactions during a push–pull test
journal, May 2013
- Boisson, A.; de Anna, P.; Bour, O.
- Journal of Contaminant Hydrology, Vol. 148
Particle-Imaging Techniques For Experimental Fluid-Mechanics
journal, January 1991
- Adrian, R.
- Annual Review of Fluid Mechanics, Vol. 23, Issue 1
Mechanisms of canonical Kelvin-Helmholtz instability suppression in magnetohydrodynamic flows
journal, February 2019
- Praturi, Divya Sri; Girimaji, Sharath S.
- Physics of Fluids, Vol. 31, Issue 2
Bypass flow computations using a one-twelfth symmetric sector for normal operation in a 350MWth prismatic VHTR
journal, October 2012
- Johnson, Richard W.; Sato, Hiroyuki
- Nuclear Engineering and Design, Vol. 251
A comparative experimental evaluation of uncertainty estimation methods for two-component PIV
journal, August 2016
- Boomsma, Aaron; Bhattacharya, Sayantan; Troolin, Dan
- Measurement Science and Technology, Vol. 27, Issue 9
Refractive index and solubility control of para-cymene solutions for index-matched fluid–structure interaction studies
journal, November 2015
- Fort, Charles; Fu, Christopher D.; Weichselbaum, Noah A.
- Experiments in Fluids, Vol. 56, Issue 12
Flow organization and heat transfer in two-dimensional tilted convection with aspect ratio 0.5
journal, February 2019
- Wang, Qi; Wan, Zhen-Hua; Yan, Rui
- Physics of Fluids, Vol. 31, Issue 2
An investigation of matched index of refraction technique and its application in optical measurements of fluid flow
journal, November 2012
- Amini, Noushin; Hassan, Yassin A.
- Experiments in Fluids, Vol. 53, Issue 6
Turbulence model for flow through porous media
journal, September 1996
- Masuoka, T.; Takatsu, Y.
- International Journal of Heat and Mass Transfer, Vol. 39, Issue 13
A Comparison Between Round Turbulent Jets and Particle-Laden Jets in Crossflow by Using Time-Resolved Stereoscopic Particle Image Velocimetry
journal, September 2011
- Diez, F. J.; Torregrosa, M. M.; Pothos, S.
- Journal of Fluids Engineering, Vol. 133, Issue 9
Recent Mathematical Models for Turbulent Flow in Saturated Rigid Porous Media
journal, August 2001
- de Lemos, Marcelo J. S.; Pedras, Marcos H. J.
- Journal of Fluids Engineering, Vol. 123, Issue 4
Analysis and interpretation of instantaneous turbulent velocity fields
journal, September 2000
- Adrian, R. J.; Christensen, K. T.; Liu, Z. -C.
- Experiments in Fluids, Vol. 29, Issue 3
Measurement of fluid velocity inside porous media with a laser anemometer
journal, January 1975
- Johnston, William; Dybbs, Alexander; Edwards, Robert
- Physics of Fluids, Vol. 18, Issue 7
Measurement of laminar, transitional and turbulent pipe flow using Stereoscopic-PIV
journal, December 2006
- van Doorne, C. W. H.; Westerweel, J.
- Experiments in Fluids, Vol. 42, Issue 2
Computational fluid dynamic analysis of core bypass flow phenomena in a prismatic VHTR
journal, September 2010
- Sato, Hiroyuki; Johnson, Richard; Schultz, Richard
- Annals of Nuclear Energy, Vol. 37, Issue 9
A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements
journal, July 2012
- Timmins, Benjamin H.; Wilson, Brandon W.; Smith, Barton L.
- Experiments in Fluids, Vol. 53, Issue 4
Transitional and Turbulent Flow in a Bed of Spheres as Measured with Stereoscopic Particle Image Velocimetry
journal, January 2017
- Khayamyan, Shervin; Lundström, T. Staffan; Gren, Per
- Transport in Porous Media, Vol. 117, Issue 1
Assessment of advanced windowing techniques for digital particle image velocimetry (DPIV)
journal, June 2009
- Eckstein, Adric; Vlachos, Pavlos P.
- Measurement Science and Technology, Vol. 20, Issue 7
Phase correlation processing for DPIV measurements
journal, March 2008
- Eckstein, Adric C.; Charonko, John; Vlachos, Pavlos
- Experiments in Fluids, Vol. 45, Issue 3
The Spectrum of Turbulence
journal, February 1938
- Taylor, G. I.
- Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 164, Issue 919
Axisymmetric wall jet development in confined jet impingement
journal, February 2017
- Guo, Tianqi; Rau, Matthew J.; Vlachos, Pavlos P.
- Physics of Fluids, Vol. 29, Issue 2
Vortex identification: New requirements and limitations
journal, August 2007
- Kolář, Václav
- International Journal of Heat and Fluid Flow, Vol. 28, Issue 4
Figures / Tables found in this record: