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Modulation of turbulence in forced convection by temperature-dependent viscosity

Published online by Cambridge University Press:  20 March 2012

Francesco Zonta ,
Cristian Marchioli  and
Alfredo Soldati
Francesco Zonta
Affiliation:
Centro Interdipartimentale di Fluidodinamica e Idraulica and Dipartimento di Energetica e Macchine, Università degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy
Cristian Marchioli
Affiliation:
Centro Interdipartimentale di Fluidodinamica e Idraulica and Dipartimento di Energetica e Macchine, Università degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy
Alfredo Soldati*
Affiliation:
Centro Interdipartimentale di Fluidodinamica e Idraulica and Dipartimento di Energetica e Macchine, Università degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy
*
†Email address for correspondence: [email protected]
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Abstract

In this work, we run a numerical experiment to study the behaviour of incompressible Newtonian fluids with anisotropic temperature-dependent viscosity in forced convection turbulence. We present a systematic analysis of variable-viscosity effects, isolated from gravity, with relevance for aerospace cooling/heating applications. We performed an extensive campaign based on pseudo-spectral direct numerical simulations of turbulent water channel flow in the Reynolds number parameter space. We considered constant temperature boundary conditions and different temperature gradients between the channel walls. Results indicate that average and turbulent fields undergo significant variations. Compared with isothermal flow with constant viscosity, we observe that turbulence is promoted in the cold side of the channel, characterized by viscosity locally higher than the mean: in the range of the examined Reynolds numbers and in absence of gravity, higher values of viscosity determine an increase of turbulent kinetic energy, whereas a decrease of turbulent kinetic energy is determined at the hot wall. Examining in detail the turbulent kinetic energy budget, we find that turbulence modifications are associated with changes in the rate at which energy is produced and dissipated near the walls: specifically, at the hot wall (respectively cold wall) production decreases (respectively increases) while dissipation increases (respectively decreases).

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent convection
Type
Papers
Information
Journal of Fluid Mechanics , Volume 697 , 25 April 2012 , pp. 150 - 174
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

‡

Also at Department of Fluid Mechanics, CISM, 33100, Udine, Italy.

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