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.
Similar content being viewed by others
References
J.M. McDonough, Introductory Lectures on Turbulence. CreateSpace Independent Publishing Platform, 2014.
T. Karman, Turbulence, Uspekhi Fizicheskikh Nauk, 1939, Vol. 21, No. 21, P. 21–59.
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.
V. Holmen, Methods of Vortex Identification: Master’s Theses in Math. Sciences. Lund University, 2012.
G. Haller, An objective definition of a vortex, J. Fluid Mech., 2005, Vol. 525, P. 1–26.
P.G. Drazin and W.H. Reid, Hydrodynamic Stability. 2 ed., Cambrige University Press, 2004.
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.
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.
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.
G.I. Taylor, Diffusion by continuous movements, Proc. London Math. Soc., 1922, Vol. s2–20, Iss. 1, P. 196–212.
A. Sonin, 2.27 Turbulent flow and transport. Massachusetts Institute of Technology. 2002. https://ocw.mit.edu.
J. Jimenez, The largest scales of turbulent wall flows: annual research briefs, Center for Turbulence Research, 1998, P. 137–154.
J. Jimenez and P. Moin, The minimal flow unit in near-wall turbulence, J. Fluid Mech., 1991, Vol. 225, No. 1, P. 213–240.
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.
J. Jimenez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech., 1999, Vol. 389, P. 335–359.
P.A. Davidson, Turbulence: an Introduction for Scientists and Engineers, Oxford University Press, Oxford, 2004.
Author information
Authors and Affiliations
Corresponding authors
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
About this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864320020079