Skip to main content
Log in

Turbulent kinetic energy transfer and dissipation in thermoviscous fluid flow

  • Published:
Thermophysics and Aeromechanics Aims and scope

Abstract

Turbulent flow of thermoviscous liquid is studied in a three-dimensional region with periodicity in two directions. Flow characteristics are described in the terms of equation for turbulent kinetic energy: this allows to differentiate contributions from different components related to generation, transport, and dissipation of turbulent kinetic energy. Those terms can be calculated from averaging the moments of different order. The previous studies demonstrated that thermoviscous liquid flow occurs through several stages of evolution, including the unsteady turbulence. This allows discussing the problem of mathematical rigorous statement and applicability of different methods for averaging. Existence of spatial periodicity allow using a combined spatial-time averaging for different values on the interval of steady turbulence. Results are presented as a set of Zt-diagrams. Besides, the paper presents analysis of flow development on the basis of direct visualization of velocity and temperature.

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. 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 

  2. V.M. Goloviznin, M.A. Zaitsev, S.A. Karabasov, and I.N. Korotkin, Novel Algorithms for CFD Applied on Multiprocessor Computing Complexes, MSU Publ., Moscow, 2013.

    Google Scholar 

  3. O. Reynolds, On the dynamical theory of incompressible viscous fluids and the determination of the criterion, Philosophical Transactions of the Royal Society of London A, 1895, Vol. 186, P. 123–164.

    Article  ADS  Google Scholar 

  4. L. Prandtl, Bericht über Untersuchungen zur ausgebildeten Turbulenz, Zeitschrift fur angewandte Math. und Mechanik, 1925, Vol. 5, No. 2, P. 136–139.

    Article  ADS  Google Scholar 

  5. G.I. Taylor, Diffusion by continuous movements, Proc. London Math. Soc., 1922, Vol. 20, No. 1, P. 196–212.

    Article  MathSciNet  Google Scholar 

  6. G.I. Taylor, The spectrum of turbulence, Proc. Royal Soc. A: Mathematical, Physical and Engng Sci., 1938, Vol. 164, No. 919, P. 476–490.

    Article  ADS  Google Scholar 

  7. A.N. Kolmogorov, Selected Papers. Mathematics and Mechanics, 1985, Nauka, Moscow.

    Google Scholar 

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

  9. B.-J. Gréa, J. Griffond, and A. Burlot, The effects of variable viscosity on the decay of homogeneous isotropic turbulence, Phys. Fluids, 2014, Vol. 26, No. 3, P. 35104–1–35104–20.

    Article  Google Scholar 

  10. W.K. George, Lectures in Turbulence for the 21st Century, 2013.

  11. J. Jimenez, The largest scales of turbulent wall flows: annual research briefs, Center Turbulence Research, 1998.

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 Federal Program for the Joint Institute for High Temperatures 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. Turbulent kinetic energy transfer and dissipation in thermoviscous fluid flow. Thermophys. Aeromech. 27, 539–554 (2020). https://doi.org/10.1134/S0869864320040071

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0869864320040071

Keywords

Navigation