Skip to main content
Log in

Tomographic particle-image velocimetry and thermography in Rayleigh-Bénard convection using suspended thermochromic liquid crystals and digital image processing

  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Steady-state flow and temperature fields in shallow rectangular enclosures heated from below were visualized and quantitatively characterized by using glycerol as the working fluid and suspended thermochromic liquid crystals as tracers. Couples of photographs taken on 120 transparency film for two orthogonal sets of vertical plane sections were digitized by a 1,200-dpi flatbed scanner and split into HSL (hue-saturation-lightness) components by using commercial general-purpose image processing software. Two-dimensional velocity fields were obtained from the lightness component by a two-frame cross-correlation technique using a commercial particle-image velocimetry (PIV) package. Temperature fields were obtained from the hue component on the basis of an in situ calibration procedure, conducted under conditions of stable thermal stratification. Finally, 2D flow and temperature distributions were interpolated by a purpose-written Fortran program to give 3D flow and thermal fields in the enclosure. Results are presented here for the case of a 1:2:4 aspect ratio cavity at a Rayleigh number of ∼ 14,500, for which a complex 3D flow and temperature distribution was observed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • AEA Technology (1997) VISIFLOW — system user manual.. AEA Technology, Harwell, UK

    Google Scholar 

  • AEA Technology (2000) CFX Release 4.3 — user guide. AEA Technology, Harwell, UK

    Google Scholar 

  • Akino N, Kunugi T, Ichima K, Mitsushiro K, Ueda M (1989) Improved liquid crystal thermometry excluding human colour sensation. J Heat Transfer 111:558–565

    Article  Google Scholar 

  • Busse FH (1978) Nonlinear properties of thermal convection. Rep Prog Phys 41:1929–1967

    Article  Google Scholar 

  • Bodenschatz E, Pesch W, Ahlers G (2000) Recent developments in Rayleigh-Bénard convection. Annu Rev Fluid Mech 32:709–778

    Article  MathSciNet  Google Scholar 

  • Ciofalo M, Cammarata G, Palazzolo F, Stasiek JA, Collins MW (1994) Combined particle image velocimetry and thermography for free convection in rectangular and complex enclosures. In: Proceedings of the 12th National UIT Heat Transfer Conference, L’Aquila, Italy, 23–24 June 1994. Edizioni ETS, Pisa, pp 41–53

    Google Scholar 

  • Daniels PG, Weinstein J (1992) On finite amplitude patterns of convection near a lateral boundary. Q J Mech Appl Math 45:315–322

    Article  MATH  MathSciNet  Google Scholar 

  • Davis SH (1967) Convection in a box: linear theory. J Fluid Mech 30:465–478

    Article  MATH  Google Scholar 

  • Dubais J, Berge P (1978) Experimental study of the velocity field in Rayleigh-Bénard convection. J. Fluid Mech 85:641–653

    Article  Google Scholar 

  • Frick H, Clever RM (1982) The influence of side walls on finite amplitude convection in a layer heated from below. J Fluid Mech 114:467–480

    Article  MATH  Google Scholar 

  • Fujisawa N, Funatani S (2000) Simultaneous measurement of temperature and velocity in a turbulent thermal convection by the extended range scanning liquid crystal visualization technique. Exp Fluids 29:S158-S165

    Article  Google Scholar 

  • Hiller WJ, Kowalewski TA (1987) Simultaneous measurements of temperature and velocity fields in thermal convective flows. In: Veret C (ed.) Proceedings of the 4th International Symposium on Flow Visualization, Paris, France, 1986. Hemisphere, New York, pp 617–622

    Google Scholar 

  • Palazzolo F (2000) Visualizzazione sperimentale e digitalizzazione di immagini per problemi tridimensionali di fluidodinamica in convezione naturale. PhD thesis, Università di Roma “La Sapi-enza”

  • Palazzolo F, Magnasco F, Ciofalo M (2000) Three-dimensional flow and temperature distribution in Rayleigh-Bénard convection using thermochromic liquid crystals and digital image processing. In: Niro A, Dubini G, Inzoli F (eds) Proceedings of the 18th National UIT Heat Transfer Conference, Cernobbio, Italy, 26–28 June 2000. Edizioni ETS, Pisa, pp 209–220

    Google Scholar 

  • Perry RH, Green DW (1984) Perry’s chemical engineer’s handbook, 6th edn. McGraw-Hill, New York

    Google Scholar 

  • Rayleigh Lord (1916) On convective currents in a horizontal layer of fluid when the higher temperature is on the underside. Phil Mag 32:529–546

    Google Scholar 

  • Richards CD, Richards RF (1998) Transient temperature measurements in a convectively cooled droplet. Exp Fluids 25:392–400

    Article  Google Scholar 

  • Sakakibara J, Adrian RJ (1999) Whole field measurement of temperature in water using two-color laser induced fluorescence. Exp Fluids 26:7–15

    Article  Google Scholar 

  • Signorino M, Simiano M (2001) Termovelocimetria tomografica a immagini di particelle per problemi termofluidodinamici tridimensionali: applicazione alia convezione di Rayleigh-Bénard. Graduation thesis in Nuclear Engineering, University of Palermo, Italy

    Google Scholar 

  • Stasiek JA, Collins MW, Ciofalo M, Chew PE (1996) Investigation of flow and heat transfer in corrugated passages — I. Experimental results. Int J Heat Mass Transfer 39:149–164

    Article  Google Scholar 

  • Stork K, Müller U (1972) Convection in boxes: experiments. J Fluid Mech 54:599–611

    Article  Google Scholar 

  • Swift J, Hohenberg PC (1977) Hydrodynamic fluctuations at the convective instability. Phys Rev A 15:319–328

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Ciofalo.

Additional information

Published online: 7 January 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ciofalo, M., Signorino, M. & Simiano, M. Tomographic particle-image velocimetry and thermography in Rayleigh-Bénard convection using suspended thermochromic liquid crystals and digital image processing. Experiments in Fluids 34, 156–172 (2003). https://doi.org/10.1007/s00348-002-0534-4

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-002-0534-4

Keywords

Navigation