Skip to main content
Erschienen in: Experiments in Fluids 6/2012

01.06.2012 | Research Article

2D PIV measurements in the near field of grid turbulence using stitched fields from multiple cameras

verfasst von: J. I. Cardesa, T. B. Nickels, J. R. Dawson

Erschienen in: Experiments in Fluids | Ausgabe 6/2012

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We present measurements of grid turbulence using 2D particle image velocimetry taken immediately downstream from the grid at a Reynolds number of Re M  = 16500 where M is the rod spacing. A long field of view of 14M × 4M in the down- and cross-stream directions was achieved by stitching multiple cameras together. Two uniform biplanar grids were selected to have the same M and pressure drop but different rod diameter D and cross-section. A large data set (104 vector fields) was obtained to ensure good convergence of second-order statistics. Estimations of the dissipation rate \(\varepsilon\) of turbulent kinetic energy (TKE) were found to be sensitive to the number of mean-squared velocity gradient terms included and not whether the turbulence was assumed to adhere to isotropy or axisymmetry. The resolution dependency of different turbulence statistics was assessed with a procedure that does not rely on the dissipation scale η. The streamwise evolution of the TKE components and \(\varepsilon\) was found to collapse across grids when the rod diameter was included in the normalisation. We argue that this should be the case between all regular grids when the other relevant dimensionless quantities are matched and the flow has become homogeneous across the stream. Two-point space correlation functions at x/M = 1 show evidence of complex wake interactions which exhibit a strong Reynolds number dependence. However, these changes in initial conditions disappear indicating rapid cross-stream homogenisation. On the other hand, isotropy was, as expected, not found to be established by x/M = 12 for any case studied.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Batchelor GK (1948) Energy decay and self-preserving correlation functions in isotropic turbulence. Q Appl Math 6(7):97–116MathSciNetMATH Batchelor GK (1948) Energy decay and self-preserving correlation functions in isotropic turbulence. Q Appl Math 6(7):97–116MathSciNetMATH
Zurück zum Zitat Batchelor GK (1953) The theory of homogeneous turbulence. Cambridge University Press, CambridgeMATH Batchelor GK (1953) The theory of homogeneous turbulence. Cambridge University Press, CambridgeMATH
Zurück zum Zitat Benedict LH, Gould RD (1996) Towards better uncertainty estimates for turbulence statistics. Exp Fluids 22:129–136CrossRef Benedict LH, Gould RD (1996) Towards better uncertainty estimates for turbulence statistics. Exp Fluids 22:129–136CrossRef
Zurück zum Zitat Bennett JC, Corrsin S (1978) Small reynolds number nearly isotropic turbulence in a straight duct and a contraction. Phys Fluids 21(12):2129–2140CrossRef Bennett JC, Corrsin S (1978) Small reynolds number nearly isotropic turbulence in a straight duct and a contraction. Phys Fluids 21(12):2129–2140CrossRef
Zurück zum Zitat Buchmann NA, Atkinson C, Soria J (2010) Tomographic and stereoscopic piv measurements of grid-generated homogeneous turbulence. In: Proceedings of the 15th Int Symp on Applications of Laser Techniques to Fluid Mechanics, Lisbon Buchmann NA, Atkinson C, Soria J (2010) Tomographic and stereoscopic piv measurements of grid-generated homogeneous turbulence. In: Proceedings of the 15th Int Symp on Applications of Laser Techniques to Fluid Mechanics, Lisbon
Zurück zum Zitat Carr Z, Ahmed K, Forliti D (2009) Spatially correlated precision error in digital particle image velocimetry measurements of turbulent flows. Exp Fluids 47:95–106CrossRef Carr Z, Ahmed K, Forliti D (2009) Spatially correlated precision error in digital particle image velocimetry measurements of turbulent flows. Exp Fluids 47:95–106CrossRef
Zurück zum Zitat Comte-bellot G, Corrsin S (1966) The use of a contraction to improve the isotropy of grid-generated turbulence. J Fluid Mech Digit Arch 25(4):657–682 Comte-bellot G, Corrsin S (1966) The use of a contraction to improve the isotropy of grid-generated turbulence. J Fluid Mech Digit Arch 25(4):657–682
Zurück zum Zitat Corrsin S (1963) Turbulence: experimental methods. Handbuch der Physik 8(2):524–533MathSciNet Corrsin S (1963) Turbulence: experimental methods. Handbuch der Physik 8(2):524–533MathSciNet
Zurück zum Zitat Ertunç O, Özyilmaz N, Lienhart H, Durst F, Beronov K (2010) Homogeneity of turbulence generated by static-grid structures. J Fluid Mech 654:473–500MATHCrossRef Ertunç O, Özyilmaz N, Lienhart H, Durst F, Beronov K (2010) Homogeneity of turbulence generated by static-grid structures. J Fluid Mech 654:473–500MATHCrossRef
Zurück zum Zitat George WK (1992) The decay of homogeneous isotropic turbulence. Phys Fluids A Fluid Dyn 4(7):1492–1509MATHCrossRef George WK (1992) The decay of homogeneous isotropic turbulence. Phys Fluids A Fluid Dyn 4(7):1492–1509MATHCrossRef
Zurück zum Zitat George WK, Wang H (2009) The exponential decay of homogeneous turbulence. Phys Fluids 21(2):025108CrossRef George WK, Wang H (2009) The exponential decay of homogeneous turbulence. Phys Fluids 21(2):025108CrossRef
Zurück zum Zitat Huang Z, Olson JA, Kerekes RJ, Green SI (2006) Numerical simulation of the flow around rows of cylinders. Comput Fluids 35(5):485–491MATHCrossRef Huang Z, Olson JA, Kerekes RJ, Green SI (2006) Numerical simulation of the flow around rows of cylinders. Comput Fluids 35(5):485–491MATHCrossRef
Zurück zum Zitat Jayesh, Warhaft Z (1992) Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid-generated turbulence. Phys Fluids A Fluid Dyn 4(10):2292–2307 Jayesh, Warhaft Z (1992) Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid-generated turbulence. Phys Fluids A Fluid Dyn 4(10):2292–2307
Zurück zum Zitat Keane RD, Adrian RJ (1990) Optimization of particle image velocimeters. Part I: double pulsed systems. Meas Sci Tech 1:1202–1215CrossRef Keane RD, Adrian RJ (1990) Optimization of particle image velocimeters. Part I: double pulsed systems. Meas Sci Tech 1:1202–1215CrossRef
Zurück zum Zitat Krogstad P, Davidson PA (2011) Freely decaying, homogeneous turbulence generated by multi-scale grids. J Fluid Mech 680:417–434CrossRef Krogstad P, Davidson PA (2011) Freely decaying, homogeneous turbulence generated by multi-scale grids. J Fluid Mech 680:417–434CrossRef
Zurück zum Zitat Kumar RS, Sharma A, Agrawal A (2008) Simulation of flow around a row of square cylinders. J Fluid Mech 606:369–397MATHCrossRef Kumar RS, Sharma A, Agrawal A (2008) Simulation of flow around a row of square cylinders. J Fluid Mech 606:369–397MATHCrossRef
Zurück zum Zitat Laizet S, Lamballais E, Vassilicos J (2010) A numerical strategy to combine high-order schemes. Comput Fluids 39(3):471–484CrossRef Laizet S, Lamballais E, Vassilicos J (2010) A numerical strategy to combine high-order schemes. Comput Fluids 39(3):471–484CrossRef
Zurück zum Zitat Lavoie P, Avallone G, De Gregorio F, Romano G, Antonia R (2007) Spatial resolution of piv for the measurement of turbulence. Exp Fluids 43:39–51CrossRef Lavoie P, Avallone G, De Gregorio F, Romano G, Antonia R (2007) Spatial resolution of piv for the measurement of turbulence. Exp Fluids 43:39–51CrossRef
Zurück zum Zitat Lavoie P, Djenidi L, Antonia RA (2007) Effects of initial conditions in decaying turbulence generated by passive grids. J Fluid Mech 585(1):395–420MATHCrossRef Lavoie P, Djenidi L, Antonia RA (2007) Effects of initial conditions in decaying turbulence generated by passive grids. J Fluid Mech 585(1):395–420MATHCrossRef
Zurück zum Zitat Mi J, Antonia R (2010) Approach to local axisymmetry in a turbulent cylinder wake. Exp Fluids 48:933–947CrossRef Mi J, Antonia R (2010) Approach to local axisymmetry in a turbulent cylinder wake. Exp Fluids 48:933–947CrossRef
Zurück zum Zitat Nagata K, Suzuki H, Sakai Y, Hayase T, Kubo T (2008) Direct numerical simulation of turbulent mixing in grid-generated turbulence. Phys Scripta T132:014,054 Nagata K, Suzuki H, Sakai Y, Hayase T, Kubo T (2008) Direct numerical simulation of turbulent mixing in grid-generated turbulence. Phys Scripta T132:014,054
Zurück zum Zitat Nicolaides D, Honnery D, Soria J (1998) Measurements of velocity and vorticity in grid turbulence using PIV. Monash University, Melbourne Nicolaides D, Honnery D, Soria J (1998) Measurements of velocity and vorticity in grid turbulence using PIV. Monash University, Melbourne
Zurück zum Zitat Poelma C, Westerweel J, Ooms G (2006) Turbulence statistics from optical whole-field measurements in particle-laden turbulence. Exp Fluids 40:347–363CrossRef Poelma C, Westerweel J, Ooms G (2006) Turbulence statistics from optical whole-field measurements in particle-laden turbulence. Exp Fluids 40:347–363CrossRef
Zurück zum Zitat Raffel M, Willert CE, Wereley ST, Kompenhans J (2007) Particle image velocimetry, 2nd edn. Springer, Berlin Raffel M, Willert CE, Wereley ST, Kompenhans J (2007) Particle image velocimetry, 2nd edn. Springer, Berlin
Zurück zum Zitat Roach PE (1987) The generation of nearly isotropic turbulence by means of grids. Int J Heat Fluid Flow 8(2):82–92CrossRef Roach PE (1987) The generation of nearly isotropic turbulence by means of grids. Int J Heat Fluid Flow 8(2):82–92CrossRef
Zurück zum Zitat Saarenrinne P, Piirto M (2000) Turbulent kinetic energy dissipation rate estimation from piv velocity vector fields. Exp Fluids 29:S300–S307CrossRef Saarenrinne P, Piirto M (2000) Turbulent kinetic energy dissipation rate estimation from piv velocity vector fields. Exp Fluids 29:S300–S307CrossRef
Zurück zum Zitat Seoud RE, Vassilicos JC (2007) Dissipation and decay of fractal-generated turbulence. Phys Fluids 19(10):105108CrossRef Seoud RE, Vassilicos JC (2007) Dissipation and decay of fractal-generated turbulence. Phys Fluids 19(10):105108CrossRef
Zurück zum Zitat Tanaka T, Eaton J (2007) A correction method for measuring turbulence kinetic energy dissipation rate by piv. Exp Fluids 42:893–902CrossRef Tanaka T, Eaton J (2007) A correction method for measuring turbulence kinetic energy dissipation rate by piv. Exp Fluids 42:893–902CrossRef
Zurück zum Zitat Taylor GI (1935) Statistical theory of turbulence. Proc R Soc Lond Ser A Math Phys Sci 151(873):421–444MATHCrossRef Taylor GI (1935) Statistical theory of turbulence. Proc R Soc Lond Ser A Math Phys Sci 151(873):421–444MATHCrossRef
Zurück zum Zitat Tomkins CD, Adrian RJ (2003) Spanwise structure and scale growth in turbulent boundary layers. J Fluid Mech 490:37–74MATHCrossRef Tomkins CD, Adrian RJ (2003) Spanwise structure and scale growth in turbulent boundary layers. J Fluid Mech 490:37–74MATHCrossRef
Zurück zum Zitat Uberoi MS, Wallis S (1967) Effect of grid geometry on turbulence decay. Phys Fluids 10(6):1216–1224CrossRef Uberoi MS, Wallis S (1967) Effect of grid geometry on turbulence decay. Phys Fluids 10(6):1216–1224CrossRef
Zurück zum Zitat Ullum U, Schmidt JJ, Larsen PS, McCluskey DR (1998) Statistical analysis and accuracy of piv data. J Vis 1(2):205–216CrossRef Ullum U, Schmidt JJ, Larsen PS, McCluskey DR (1998) Statistical analysis and accuracy of piv data. J Vis 1(2):205–216CrossRef
Zurück zum Zitat von Karman T, Howarth L (1938) On the statistical theory of isotropic turbulence. Proc R Soc Lond Ser A Math Phys Sci 164(917):192–215CrossRef von Karman T, Howarth L (1938) On the statistical theory of isotropic turbulence. Proc R Soc Lond Ser A Math Phys Sci 164(917):192–215CrossRef
Zurück zum Zitat Westerweel J, Dabiri D, Gharib M (1997) The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital piv recordings. Exp Fluids 3(23):20–28CrossRef Westerweel J, Dabiri D, Gharib M (1997) The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital piv recordings. Exp Fluids 3(23):20–28CrossRef
Metadaten
Titel
2D PIV measurements in the near field of grid turbulence using stitched fields from multiple cameras
verfasst von
J. I. Cardesa
T. B. Nickels
J. R. Dawson
Publikationsdatum
01.06.2012
Verlag
Springer-Verlag
Erschienen in
Experiments in Fluids / Ausgabe 6/2012
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-012-1278-4

Weitere Artikel der Ausgabe 6/2012

Experiments in Fluids 6/2012 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.