Skip to main content
Log in

Thermoviscous fluid flow in nonisothermal layer: structures, scales, and correlations

  • Published:
Thermophysics and Aeromechanics Aims and scope

Abstract

The paper studies turbulent mixing in thermoviscous fluid flow in a 3D cubic domain which is extended periodically in two directions (X and Y). The flow turbulization develops under the impact of two-dimensional chaotic disturbances at mass average Reynolds number Re1 = 4704. The vortex field structure is discussed in terms of an isosurface of Q-criterion and local enstrophy ζ1. For the advanced stages of flow evolution, the study considers Eulerian correlation coefficients for velocity fluctuations (auto-correlation functions) and the cross-correlations of pressure and temperature. The Eulerian correlation coefficient is split for analysis of correlation characteristics in periodicity and wall-normal directions. The integral scale is evaluated depending on the distance to the walls. The flow analysis is performed in the terms of viscous scale. The mesh resolution is evaluated for the flow regions corresponding to the logarithmic boundary layer and the near-wall thermal layers.

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

  1. J.M. McDonough, Introductory Lectures on Turbulence. CreateSpace Independent Publishing Platform, 2014.

  2. T. Karman, Turbulence, Uspekhi Fizicheskikh Nauk, 1939, Vol. 21, No. 21, P. 21–59.

    Article  Google Scholar 

  3. Yu.M. Kulikov and E.E. Son, Thermoviscous fluid flow modes in a plane nonisothermal layer, Thermophysics and Aeromechanics, 2018, Vol. 25, No. 6, P. 845–864.

    Article  ADS  Google Scholar 

  4. V. Holmen, Methods of Vortex Identification: Master’s Theses in Math. Sciences. Lund University, 2012.

  5. G. Haller, An objective definition of a vortex, J. Fluid Mech., 2005, Vol. 525, P. 1–26.

    Article  ADS  MathSciNet  Google Scholar 

  6. P.G. Drazin and W.H. Reid, Hydrodynamic Stability. 2 ed., Cambrige University Press, 2004.

  7. J.A. Sillero, J. Jimenez, and R.D. Moser, Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to δ+ ≈ 2000, Phys. Fluids, 2014, Vol. 26, No. 10, P. 105–109.

    Article  Google Scholar 

  8. C. Chin, A.S.H. Ooi, I. Marusic, and H.M. Blackburn, The influence of pipe length on turbulence statistics computed from direct numerical simulation data, Phys. Fluids, 2010, Vol. 22, Iss. 11, P. 115107–1–11507–10.

    Article  ADS  Google Scholar 

  9. J.M. Wallace, Space-time correlations in turbulent flow: a review, Theoretical and Applied Mechanics Letters, 2014, Vol. 4, Iss. 2, P. 022003–1–022003–16.

    Article  Google Scholar 

  10. G.I. Taylor, Diffusion by continuous movements, Proc. London Math. Soc., 1922, Vol. s2–20, Iss. 1, P. 196–212.

    Article  MathSciNet  Google Scholar 

  11. A. Sonin, 2.27 Turbulent flow and transport. Massachusetts Institute of Technology. 2002. https://ocw.mit.edu.

  12. J. Jimenez, The largest scales of turbulent wall flows: annual research briefs, Center for Turbulence Research, 1998, P. 137–154.

  13. J. Jimenez and P. Moin, The minimal flow unit in near-wall turbulence, J. Fluid Mech., 1991, Vol. 225, No. 1, P. 213–240.

    Article  ADS  Google Scholar 

  14. J. Kim, P. Moin, and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., 1987, Vol. 177, No. 1, P. 133–166.

    Article  ADS  Google Scholar 

  15. J. Jimenez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech., 1999, Vol. 389, P. 335–359.

    Article  ADS  MathSciNet  Google Scholar 

  16. P.A. Davidson, Turbulence: an Introduction for Scientists and Engineers, Oxford University Press, Oxford, 2004.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Yu. M. Kulikov or E. E. Son.

Additional information

Research was financially supported by the Russian Foundation for Basic Research (Project # 19-708-00484), State order for JIHT RAS.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kulikov, Y.M., Son, E.E. Thermoviscous fluid flow in nonisothermal layer: structures, scales, and correlations. Thermophys. Aeromech. 27, 243–258 (2020). https://doi.org/10.1134/S0869864320020079

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0869864320020079

Keywords

Navigation