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Direct numerical simulation of thermal channel flow for ${\textit {Re}}_\tau =5000$ and ${\textit {Pr}} = 0.71$

Published online by Cambridge University Press:  12 April 2021

Francisco Alcántara-Ávila Open the ORCID record for Francisco Alcántara-Ávila [Opens in a new window] ,
Sergio Hoyas Open the ORCID record for Sergio Hoyas [Opens in a new window]  and
María Jezabel Pérez-Quiles
Francisco Alcántara-Ávila
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Valencia46022, Spain
Sergio Hoyas*
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Valencia46022, Spain
María Jezabel Pérez-Quiles
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Valencia46022, Spain
*
†Email address for correspondence: [email protected]
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Abstract

A direct numerical simulation of turbulent heat transfer in a channel flow has been conducted for a Reynolds number of $5000$ and the Prandtl number of air, $0.71$. The mixed boundary condition has been used as the boundary condition of the thermal field. The computational domain has been set to $3.2 {\rm \pi}h$, $2h$ and $1.6 {\rm \pi}h$ in the $x$, $y$ and $z$ directions, respectively. This domain is large enough to accurately compute the statistics of the flow. Mean values and intensities of the temperature have been obtained. Derived parameters from the average thermal field, such as the von Kármán constant and the Nusselt number have been calculated. An asymptotic behaviour of the von Kármán constant is observed when ${\textit {Re}}_\tau$ is increased. A correlation for the Nusselt number is proposed. Also, the turbulent Prandtl number has been calculated and it does not present significant changes when ${\textit {Re}}_\tau$ is increased. Finally, the turbulent budgets are presented. A relation between the increment of the inner peak of the temperature intensities and the scaling failure of the dissipation and viscous diffusion terms is provided. The statistics of all simulations can be downloaded from the web page of our group: http://personales.upv.es/serhocal/.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 916 , 10 June 2021 , A29
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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