Skip to main content

Direct and Large-Eddy Simulation of Transient Buoyant Plumes: A Comparison with an Experiment Prandtl Numbers

  • Chapter
Book cover Direct and Large-Eddy Simulation I

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 26))

Abstract

In the present study transitional thermal plumes are examined by means of numerical simulations and experiments. The objective of the research is the determination whether a Large-Eddy Simulation can be applied in these cases and what subgrid scale model should be used. The Prandtl number is 5.82. Results are obtained in terms of the topology of a two dimensional slice of the temperature field and the local temperature and velocity as function of time. Experimentally the topology of the temperature field was obtained using liquid crystals suspended in water; the local temperature was measured with a thermocouple. Numerically, two-and three-dimensional calculations were performed, using the subgrid turbulent kinetic energy model, as used by Nieuwstadt [10], and the Smagorinsky [12] model. In the two dimensional case also direct numerical simulations were performed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Asselin. Frequency filter for time integrations. Monthly Weather Rev., 100:487–490, 1972.

    Article  ADS  Google Scholar 

  2. R.J.M. Bastiaans. Transitional free convection flows induced by thermal line sources. EUT Research Reports 93-W-002 ISBN 90-386-0302-9, Eindhoven University of Technology, the Netherlands, 1993.

    Google Scholar 

  3. G.J. Blom. Encapsulated liquid crystals as temperature indicators in thermally driven flows. Master’s thesis, Eindhoven University of Technology, the Netherlands, 1993. WOC-WET 93.015.

    Google Scholar 

  4. M. Germano, U. Piomelli, P. Moin, and W.H. Cabot. A dynamical subgrid-scale eddy viscosity model. Phys. Fluids A, 3(7): 1760–1765, 1991.

    Article  ADS  MATH  Google Scholar 

  5. F.H. Harlow and J.E. Welch. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. The Physics of Fluids, 8(12):2182–2189, 1965.

    Article  ADS  MATH  Google Scholar 

  6. P. de Korte, J.G.M. Eggels, and F.T.M. Nieuwstadt. The influence of the initial conditions on freely decaying isotropic turbulence. Delft Progr. Rep. 15:103–122, Delft University of Technology, the Netherlands, 1991-1992.

    Google Scholar 

  7. D.K. Lilly. A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A, 4(3):633–635, 1992.

    Article  MathSciNet  ADS  Google Scholar 

  8. O. Métais and M. Lesieur. Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech., 239:157–194, 1992.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. P.D. Minev, F.N. van de Vosse, L.J.P. Timmermans, C.C.M. Rindt, and A.A. van Steen-hoven. 2-D DNS of unsteady plumes in a square cavity. Presented at the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation, Guildford, U.K., March 1994.

    Google Scholar 

  10. F.T.M. Nieuwstadt. Direct and large-eddy simulation of free convection. In Proc. 9 th Internat. Heat Transfer Conf., Jerusalem 19–24 August 1990, pages 37–47. Amer. Soc. Mech. Eng., New York, 1990.

    Google Scholar 

  11. H. Schmidt and U. Schumann. Coherent structure of the convective boundary layer derived from large eddy simulation. J. Fluid Mech., 200:511–562, 1989.

    Article  ADS  MATH  Google Scholar 

  12. J. Smagorinsky. General circulation experiments with the primitive equations. Mon. Weather Rev., 91(3):99–165, 1963.

    Article  ADS  Google Scholar 

  13. T.A.M. Versteegh and F.T.M. Nieuwstadt. Numerical simulation of buoyancy driven flows in enclosures. Proceedings of the meeting-workshop on Mixing in Geophysical Flows, Effects of Body forces in Turbulent Flows, Barcelona, December 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Bastiaans, R.J.M., Rindt, C.C.M., Van Steenhoven, A.A., Nieuwstadt, F.T.M. (1994). Direct and Large-Eddy Simulation of Transient Buoyant Plumes: A Comparison with an Experiment Prandtl Numbers. In: Voke, P.R., Kleiser, L., Chollet, JP. (eds) Direct and Large-Eddy Simulation I. Fluid Mechanics and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1000-6_34

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1000-6_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4434-9

  • Online ISBN: 978-94-011-1000-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics