DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Flow and heat transfer in the wake of a triangular arrangement of spheres

Abstract

This research work seeks to investigate the influence of spacing and heat transfer on the wake behavior of a triangular arrangement of spheres. Four experimental configurations have been investigated at three Reynolds numbers, Re1 = 350, Re2 = 700, and Re3 = 1050. Two isothermal cases were investigated with spacing between the spheres of zero and one sphere diameter, and two cases were investigated with an applied heat flux at the same spacing conditions. The time resolved particle image velocimetry results revealed various flow phenomena including flow separations, von Karman vortex shedding, and Kelvin–Helmholtz instabilities. The turbulent statistics reveal the effect of proximity and heat transfer on the time averaged values of the wake size, turbulent strengths, and Reynolds shear stress in the wake of each sphere, namely, the laminarization effects from the addition of heat and the suppression of the lead sphere wake from the proximity of the trailing spheres. These results are complemented by the application of proper orthogonal decomposition (POD) to the flow fields, which extracts the coherent structures from the flow. Here the modes that describe the coherent structures are extracted and described in detail, which provide further insight into effects of the experimental conditions onmore » the temporal behavior of the flow. Many of the low order modes are found to be associated in pairs, corresponding to asymmetric structures or advection of a given structure downstream. The capability of POD to produce reduced order models of the flow is then utilized to facilitate vortex identification analysis. A turbulent kinetic energy based mode truncation criteria, which has been found to enhance vortex identification capability, is applied to select the POD modes and temporal coefficients to be used in the reduced order modeling. The reconstructed velocity fields are then analyzed with vortex identification algorithms to extract the vortex cores and boundaries. The combination of these approaches allows the study of the effect of proximity and heat transfer on the vortex characteristics, such as size, strength, and distribution.« less

Authors:
ORCiD logo [1];  [1];  [1]; ORCiD logo [2]
  1. Texas A & M Univ., College Station, TX (United States)
  2. Texas A & M Univ., College Station, TX (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE), Nuclear Energy Advanced Modeling and Simulation (NEAMS); USDOE
OSTI Identifier:
1871089
Alternate Identifier(s):
OSTI ID: 1831534
Grant/Contract Number:  
AC05-00OR22725; NE0008983
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 33; Journal Issue: 11; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; fluid dynamics; flow visualization; turbulent flows; buoyancy; heat transfer; vortex dynamics; flow instabilities; fluid flows; vector fields

Citation Formats

Muyshondt, Robert, Anand, N. K., Hassan, Y. A., and Nguyen, Thienan. Flow and heat transfer in the wake of a triangular arrangement of spheres. United States: N. p., 2021. Web. doi:10.1063/5.0072283.
Muyshondt, Robert, Anand, N. K., Hassan, Y. A., & Nguyen, Thienan. Flow and heat transfer in the wake of a triangular arrangement of spheres. United States. https://doi.org/10.1063/5.0072283
Muyshondt, Robert, Anand, N. K., Hassan, Y. A., and Nguyen, Thienan. Fri . "Flow and heat transfer in the wake of a triangular arrangement of spheres". United States. https://doi.org/10.1063/5.0072283. https://www.osti.gov/servlets/purl/1871089.
@article{osti_1871089,
title = {Flow and heat transfer in the wake of a triangular arrangement of spheres},
author = {Muyshondt, Robert and Anand, N. K. and Hassan, Y. A. and Nguyen, Thienan},
abstractNote = {This research work seeks to investigate the influence of spacing and heat transfer on the wake behavior of a triangular arrangement of spheres. Four experimental configurations have been investigated at three Reynolds numbers, Re1 = 350, Re2 = 700, and Re3 = 1050. Two isothermal cases were investigated with spacing between the spheres of zero and one sphere diameter, and two cases were investigated with an applied heat flux at the same spacing conditions. The time resolved particle image velocimetry results revealed various flow phenomena including flow separations, von Karman vortex shedding, and Kelvin–Helmholtz instabilities. The turbulent statistics reveal the effect of proximity and heat transfer on the time averaged values of the wake size, turbulent strengths, and Reynolds shear stress in the wake of each sphere, namely, the laminarization effects from the addition of heat and the suppression of the lead sphere wake from the proximity of the trailing spheres. These results are complemented by the application of proper orthogonal decomposition (POD) to the flow fields, which extracts the coherent structures from the flow. Here the modes that describe the coherent structures are extracted and described in detail, which provide further insight into effects of the experimental conditions on the temporal behavior of the flow. Many of the low order modes are found to be associated in pairs, corresponding to asymmetric structures or advection of a given structure downstream. The capability of POD to produce reduced order models of the flow is then utilized to facilitate vortex identification analysis. A turbulent kinetic energy based mode truncation criteria, which has been found to enhance vortex identification capability, is applied to select the POD modes and temporal coefficients to be used in the reduced order modeling. The reconstructed velocity fields are then analyzed with vortex identification algorithms to extract the vortex cores and boundaries. The combination of these approaches allows the study of the effect of proximity and heat transfer on the vortex characteristics, such as size, strength, and distribution.},
doi = {10.1063/5.0072283},
journal = {Physics of Fluids},
number = 11,
volume = 33,
place = {United States},
year = {Fri Nov 19 00:00:00 EST 2021},
month = {Fri Nov 19 00:00:00 EST 2021}
}

Works referenced in this record:

The formation mechanism and shedding frequency of vortices from a sphere in uniform shear flow
journal, March 1995


Advanced flow and temperature measurements in a forced convection molten salt test loop
journal, September 2021


Effects of particle arrangements on the drag force of a particle in the intermediate flow regime
journal, April 1996


Unsteady three-dimensional simulation of interactions between flow and two particles
journal, September 2003


Visual observations of the flow past a sphere at Reynolds numbers between 10 4 and 10 6
journal, March 1978


PIV measurements of turbulent flows in a 61-pin wire-wrapped hexagonal fuel bundle
journal, June 2017


An experimental study of solid and liquid aerosol transport in a horizontal square channel
journal, July 2020


Sound source mechanisms in under-expanded impinging jets
journal, May 2015

  • Sinibaldi, Giorgia; Marino, Luca; Romano, Giovanni Paolo
  • Experiments in Fluids, Vol. 56, Issue 5
  • DOI: 10.1007/s00348-015-1967-x

Numerical investigation of transitional and weak turbulent flow past a sphere
journal, August 2000


Efficient detection of spurious vectors in particle image velocimetry data
journal, February 1994


PIV uncertainty quantification from correlation statistics
journal, June 2015


Intermittent vortex structures in homogeneous isotropic turbulence
journal, March 1990

  • She, Zhen-Su; Jackson, Eric; Orszag, Steven A.
  • Nature, Vol. 344, Issue 6263
  • DOI: 10.1038/344226a0

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
  • DOI: 10.1088/0957-0233/12/9/307

Heat transfer from spheres to flowing media
journal, June 1946


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
  • DOI: 10.1088/0957-0233/26/7/074003

Estimation of uncertainty bounds for individual particle image velocimetry measurements from cross-correlation peak ratio
journal, April 2013


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
  • DOI: 10.1088/0957-0233/26/7/074004

Effect of wall cooling on the mean structure of a turbulent boundary layer in low-speed gas flow
journal, June 1970

  • Back, L. H.; Cuffel, R. F.; Massier, P. F.
  • International Journal of Heat and Mass Transfer, Vol. 13, Issue 6
  • DOI: 10.1016/0017-9310(70)90168-7

Proper orthogonal decomposition analysis of a circular cylinder undergoing vortex-induced vibrations
journal, October 2018

  • Riches, Graham; Martinuzzi, Robert; Morton, Chris
  • Physics of Fluids, Vol. 30, Issue 10
  • DOI: 10.1063/1.5046090

Time-resolved PIV measurements in a low-aspect ratio facility of randomly packed spheres and flow analysis using modal decomposition
journal, July 2018


On the identification of a vortex
journal, February 1995


Approximate partitioned method of snapshots for POD
journal, December 2016

  • Wang, Zhu; McBee, Brian; Iliescu, Traian
  • Journal of Computational and Applied Mathematics, Vol. 307
  • DOI: 10.1016/j.cam.2015.11.023

Light-scattering of tracer particles for liquid flow measurements
journal, April 2021


Digital particle image velocimetry (DPIV) robust phase correlation
journal, April 2009


Cylinders and jets in crossflow: Wake formations as a result of varying geometric proximities
journal, May 2021

  • Kristo, Paul J.; Kimber, Mark L.
  • Physics of Fluids, Vol. 33, Issue 5
  • DOI: 10.1063/5.0047790

A turbulent jet in crossflow analysed with proper orthogonal decomposition
journal, July 2007


Vortex shedding around a heated square cylinder under the influence of buoyancy
journal, March 2005


Standard images for particle-image velocimetry
journal, May 2000


Application of Laser Induced Fluorescence in experimental analysis of convection phenomena
journal, September 2016


Near-wake instabilities and vortex structures of three-dimensional bluff bodies: a review
journal, December 2001

  • Kiya, M.; Ishikawa, H.; Sakamoto, H.
  • Journal of Wind Engineering and Industrial Aerodynamics, Vol. 89, Issue 14-15
  • DOI: 10.1016/S0167-6105(01)00160-X

Experimental investigation of turbulent wake flows in a helically wrapped rod bundle in presence of localized blockages
journal, July 2020

  • Nguyen, T.; Vaghetto, R.; Hassan, Y.
  • Physics of Fluids, Vol. 32, Issue 7
  • DOI: 10.1063/5.0008589

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
  • DOI: 10.1063/1.4927647

PLIF imaging of mean temperature and pressure in a supersonic bluff wake
journal, April 1998


Assessment of single-shot temperature measurements by thermally-assisted OH PLIF using excitation in the A2Σ+–X2Π (1-0) band
journal, January 2021

  • Dulin, Vladimir; Sharaborin, Dmitriy; Tolstoguzov, Roman
  • Proceedings of the Combustion Institute, Vol. 38, Issue 1
  • DOI: 10.1016/j.proci.2020.07.025

PIV uncertainty propagation
journal, June 2016


Mixed convection in a driven cavity with a stable vertical temperature gradient
journal, January 1993

  • Iwatsu, Reima; Hyun, Jae Min; Kuwahara, Kunio
  • International Journal of Heat and Mass Transfer, Vol. 36, Issue 6
  • DOI: 10.1016/S0017-9310(05)80069-9

Steady wake behind a sphere
journal, January 1976


Sphere wakes in still surroundings at intermediate Reynolds numbers
journal, August 1993

  • Wu, J. -S.; Faeth, G. M.
  • AIAA Journal, Vol. 31, Issue 8
  • DOI: 10.2514/3.11794

A laser-induced fluorescence measurement for aqueous fluid flows with improved temperature sensitivity
journal, June 2008

  • Sutton, Jeffrey A.; Fisher, Brian T.; Fleming, James W.
  • Experiments in Fluids, Vol. 45, Issue 5
  • DOI: 10.1007/s00348-008-0506-4

The flow characteristics between two interactive spheres
journal, March 2000


Spectral proper orthogonal decomposition
journal, March 2016

  • Sieber, Moritz; Paschereit, C. Oliver; Oberleithner, Kilian
  • Journal of Fluid Mechanics, Vol. 792
  • DOI: 10.1017/jfm.2016.103

Proper orthogonal decomposition and low-dimensional models for driven cavity flows
journal, July 1998

  • Cazemier, W.; Verstappen, R. W. C. P.; Veldman, A. E. P.
  • Physics of Fluids, Vol. 10, Issue 7
  • DOI: 10.1063/1.869686

On the formation and suppression of vortex ‘shedding’ at low Reynolds numbers
journal, September 1990


Vortex Methods for Direct Numerical Simulation of Three-Dimensional Bluff Body Flows: Application to the Sphere at Re=300, 500, and 1000
journal, May 2002

  • Ploumhans, P.; Winckelmans, G. S.; Salmon, J. K.
  • Journal of Computational Physics, Vol. 178, Issue 2
  • DOI: 10.1006/jcph.2002.7035

Flow around in-line sphere array at moderate Reynolds number
journal, September 2018

  • Choi, Daehyun; Park, Hyungmin
  • Physics of Fluids, Vol. 30, Issue 9
  • DOI: 10.1063/1.5049734

Uncertainty on PIV mean and fluctuating velocity due to bias and random errors
journal, February 2013


Turbulence Modeling Applied to Flow over a Sphere
journal, September 2003

  • Constantinescu, George; Chapelet, Matthieu; Squires, Kyle
  • AIAA Journal, Vol. 41, Issue 9
  • DOI: 10.2514/2.7291

On PIV random error minimization with optimal POD-based low-order reconstruction
journal, March 2015


Instantaneous measurement of two-dimensional temperature distributions by means of two-color planar laser induced fluorescence (PLIF)
journal, December 2004

  • Bruchhausen, Matthias; Guillard, Fabrice; Lemoine, Fabrice
  • Experiments in Fluids, Vol. 38, Issue 1
  • DOI: 10.1007/s00348-004-0911-2

Laminarization of turbulent flames in rotating environments
journal, February 1971


Transition to a time-dependent state of fluid flow in the wake of a sphere
journal, May 2008


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
  • DOI: 10.1063/1.857730

Interaction between two spheres placed in tandem arrangement in steady and pulsating flow
journal, October 2009


Dynamic interaction of fixed dual spheres for several configurations and inflow conditions
journal, January 2010


The structure of the near wake of a sphere moving horizontally in a stratified fluid
journal, September 1993


Experimental Measurements of the Wake of a Sphere at Subcritical Reynolds Numbers
journal, February 2021

  • Muyshondt, Robert; Nguyen, Thien; Hassan, Y. A.
  • Journal of Fluids Engineering, Vol. 143, Issue 6
  • DOI: 10.1115/1.4049936

Decomposition of the swirling flow field downstream of Francis turbine runner
journal, November 2012


On the decomposition of turbulent flow fields for the analysis of coherent structures
journal, December 1987


Geometrical investigation of bluff bodies array subjected to forced convective flows for different aspect ratios of frontal body
journal, March 2021


Coherent Structures in Turbulence
book, October 1980


Flow structures around an equilateral triangle arrangement of three spheres
journal, July 2013


A comparative experimental evaluation of uncertainty estimation methods for two-component PIV
journal, August 2016


Reduced-Order Modeling of the Upper Tropical Pacific Ocean Model using Proper Orthogonal Decomposition
journal, October 2006

  • Cao, Yanhua; Zhu, Jiang; Luo, Zhendong
  • Computers & Mathematics with Applications, Vol. 52, Issue 8-9
  • DOI: 10.1016/j.camwa.2006.11.012

Upflow turbulent mixed convection heat transfer in vertical pipes
journal, October 1998

  • Celataa, Gian Piero; Dannibale, Francesco; Chiaradia, Andrea
  • International Journal of Heat and Mass Transfer, Vol. 41, Issue 24
  • DOI: 10.1016/S0017-9310(98)00177-X

Experimental measurements of flow mixing in cold leg of a pressurized water reactor
journal, June 2020


Particle Image Velocimetry: A Practical Guide
book, January 2018


Stokes flow past three spheres: An analytic solution
journal, January 1987


Tracer particles and seeding for particle image velocimetry
journal, December 1997


Mechanisms for generating coherent packets of hairpin vortices in channel flow
journal, May 1999


Aerodynamic Interaction Between Two Spheres at Reynolds Numbers Around 10 4
journal, February 1979


Fluid-dynamic interaction between two spheres
journal, February 1982

  • Tsuji, Yutaka; Morikawa, Yoshinobu; Terashima, Kozo
  • International Journal of Multiphase Flow, Vol. 8, Issue 1
  • DOI: 10.1016/0301-9322(82)90008-8

The Scree Test For The Number Of Factors
journal, April 1966


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
  • DOI: 10.1007/s003489900087

Flow past a sphere up to a Reynolds number of 300
journal, January 1999


POD analysis of momentumless trailing edge wake using synthetic jet actuation
journal, April 2013


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
  • DOI: 10.1007/s00348-012-1341-1

Turbulence statistics in a negatively buoyant multiphase plume
journal, June 2020

  • Bordoloi, Ankur D.; Lai, Chris C. K.; Clark, Laura
  • Journal of Fluid Mechanics, Vol. 896
  • DOI: 10.1017/jfm.2020.326

Phase correlation processing for DPIV measurements
journal, March 2008


On the critical Richardson number in stably stratified turbulence
journal, January 2007

  • Galperin, Boris; Sukoriansky, Semion; Anderson, Philip S.
  • Atmospheric Science Letters, Vol. 8, Issue 3
  • DOI: 10.1002/asl.153

Two-stream, supersonic, wake flowfield behind a thick base. I - General features
journal, August 1992

  • Amatucci, V. A.; Dutton, J. C.; Kuntz, D. W.
  • AIAA Journal, Vol. 30, Issue 8
  • DOI: 10.2514/3.11177

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
  • DOI: 10.1063/1.4975394

Turbulence and the dynamics of coherent structures. I. Coherent structures
journal, January 1987

  • Sirovich, Lawrence
  • Quarterly of Applied Mathematics, Vol. 45, Issue 3
  • DOI: 10.1090/qam/910462

Proper orthogonal decomposition truncation method for data denoising and order reduction
journal, March 2017


Hydrodynamic interactions between two identical spheres held fixed side by side against a uniform stream directed perpendicular to the line connecting the spheres’ centres
journal, May 2000


Interaction between two compressible, turbulent free shear layers
journal, December 1986

  • Samimy, M.; Addy, A. L.
  • AIAA Journal, Vol. 24, Issue 12
  • DOI: 10.2514/3.9548

Forced Convection Heat Transfer From an Isothermal Sphere to Water
journal, May 1961

  • Vliet, G. C.; Leppert, G.
  • Journal of Heat Transfer, Vol. 83, Issue 2
  • DOI: 10.1115/1.3680504

Vortex identification: New requirements and limitations
journal, August 2007


Population trends of spanwise vortices in wall turbulence
journal, November 2006