Skip to main content
SpringerLink
Log in

'T-RANS' Simulation of Deterministic Eddy Structure in Flows Driven by Thermal Buoyancy and Lorentz Force

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

The paper reports on the application of the Time-dependent Reynolds-Averaged Navier–Stokes (T-RANS) approach to analysing the effects of magnetic force and bottom-wall configuration on the reorganisation of a large coherent structure and its role in the transport processes in Rayleigh–Bénard convection. The large-scale deterministic motion is fully resolved in time and space, whereas the unresolved stochastic motion is modelled by a `subscale' model for which the conventional algebraic stress/flux expressions were used, closed with the low-Re number (k)-(ε)-(θ2) three-equation model. The applied method reproduces long-term averaged mean flow properties, turbulence second moments, and all major features of the coherent roll/cell structure in classic Rayleigh–Bénard convection in excellent agreement with the available DNS and experimental results. Application of the T-RANS approach to Rayleigh–Bénard convection with wavy bottom walls and a superimposed magnetic field yielded the expected effects on there organisation of the eddy structure and consequent modifications of the mean and turbulence parameters and wall heat transfer.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ha Minh, H., Order and disorder in turbulent flows: their impact on turbulence modelling. In: Osborn Reynolds Centenary Symposium, UMIST, Manchester, U.K., May 24th (1994).

    Google Scholar 

  2. Ha Minh, H. and Kourta, A., Semi-deterministic turbulence modeling for flows dominated by strong organized structures. In: Durst, F., Kasagi, N., Launder, B.E., Schmidt, F.V., Suzuki, K. and Whitelaw, J.H. (eds), Proceedings 9th International Symposium on Turbulent Shear Flows, Kyoto, Japan. Springer-Verlag, Berlin (1993) Vol. 1., pp. 10.5.1–10.5.6.

    Google Scholar 

  3. Aubrun, S., Kao, P.L., Ha Minh, H. and Boisson, H., The semi-deterministic approach as way to study coherent structures: Case of a turbulent flow behind a backward-facing step. In: Rodi, W. and Laurence, D. (eds), Engineering Turbulence Modelling and Experiments 4. Elsevier, Amsterdam (1999) pp. 491–500.

    Google Scholar 

  4. Hussain, A.K.M.F., Coherent structures-Reality and myth. Phys. Fluids 26 (1983) 2816–2850.

    Article  MATH  ADS  Google Scholar 

  5. Kenjereš, S. and Hanjalić, K., Convective rolls and heat transfer in finite-length Rayleigh-Bénard convection: A two-dimensional numerical study. Phys. Rev. E 62(6) (2000) 7987–7998.

    Article  ADS  Google Scholar 

  6. Kenjereš, S. and Hanjalić, K., On the implementation of effects of Lorentz force in turbulence closures models. Internat. J. Heat Fluid Flow 21(3) (2000) 329–337.

    Article  Google Scholar 

  7. Hanjalić, K., Achievements and limitations in modelling and computing of buoyant turbulent flows and heat transfer (Special Keynote Lecture). In: Hewitt, G. (ed.), Proceedings 10th International Heat Transfer Conference. IChem/Taylor & Francis, London (1994) Vol. 1, pp. 1–18.

    Google Scholar 

  8. Kerr, M.R., Rayleigh number scaling in numerical convection. J. Fluid Mech. 310 (1996) 139–179.

    Article  MATH  ADS  Google Scholar 

  9. Grötzbach, G., Direct numerical simulation of laminar and turbulent Bénard convection. J. Fluid Mech. 119 (1982) pp. 27–53 (Database published in 1997).

    Article  MATH  ADS  Google Scholar 

  10. Wörner, M., Direkte Simulation turbulenter Rayleigh-Bénard Konvektion in flüssigem Natrium. Ph.D. Thesis, University of Karlsruhe, KfK 5228, Kernforschungszentrum Karlsruhe (1994).

  11. Cortese, T. and Balachandar, S., Vortical nature of thermal plumes in turbulent convection. Phys. Fluids A 5(12) (1993) 3226–3232.

    Article  MATH  ADS  Google Scholar 

  12. Kenjereš, S. and Hanjalić, K., Identification and visualisation of coherent structures in Rayleigh-Bénard convection with a time dependent RANS. J. Visualisation 2(2) (1999) 169–176.

    Google Scholar 

  13. Kenjereš, S. and Hanjalić, K., Transient analysis of Rayleigh-Bénard convection with a RANS model. Internat. J. Heat Fluid Flow 20(3) (1999) 329–340.

    Article  Google Scholar 

  14. Mößner, R. and Müller, A numerical investigation of three-dimensional magnetoconvection in rectangular cavities. Internat. J. Heat Mass Transfer 42 (1999) 1111–1121.

    Article  MATH  Google Scholar 

  15. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability. Dover Publications, New York (1981).

    MATH  Google Scholar 

  16. Hanjalić, K. and Kenjereš, S., Reorganization of turbulence structure in magnetic Rayleigh-Bénard convection: A T-RANS study. J. Turbulence 1(8) (2000) 1–22.

    Google Scholar 

  17. Krettenauer, K. and Schumann, U., Numerical simulation of turbulent convection over wavy terrain. J. Fluid Mech. 237 (1992) 261–299.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Thermofluids Section, Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

    K. Hanjalić

  2. Thermofluids Section, Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

    S. Kenjereš

Authors
  1. K. Hanjalić
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Kenjereš
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hanjalić, K., Kenjereš, S. 'T-RANS' Simulation of Deterministic Eddy Structure in Flows Driven by Thermal Buoyancy and Lorentz Force. Flow, Turbulence and Combustion 66, 427–451 (2001). https://doi.org/10.1023/A:1013570705813

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013570705813

Search

Navigation