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Physical study of the non-equilibrium development of a turbulent thermal boundary layer

Published online by Cambridge University Press:  11 January 2022

M. Gelain Open the ORCID record for M. Gelain [Opens in a new window] ,
O. Gicquel Open the ORCID record for O. Gicquel [Opens in a new window] ,
A. Couilleaux  and
R. Vicquelin Open the ORCID record for R. Vicquelin [Opens in a new window]
M. Gelain*
Affiliation:
Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, 8–10 rue Joliot Curie, 91190Gif-sur-Yvette, France Safran Aircraft Engines, Rond-point René Ravaud, 77550Moissy-Cramayel, France
O. Gicquel
Affiliation:
Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, 8–10 rue Joliot Curie, 91190Gif-sur-Yvette, France
A. Couilleaux
Affiliation:
Safran Aircraft Engines, Rond-point René Ravaud, 77550Moissy-Cramayel, France
R. Vicquelin*
Affiliation:
Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, 8–10 rue Joliot Curie, 91190Gif-sur-Yvette, France
*
†Email addresses for correspondence: matteo.gelain@safrangroup.com, ronan.vicquelin@centralesupelec.com
†Email addresses for correspondence: matteo.gelain@safrangroup.com, ronan.vicquelin@centralesupelec.com
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Abstract

The direct numerical simulation of a non-equilibrium turbulent heat transfer case is performed in a channel flow, where non-equilibrium is induced by a step change in surface temperature. The domain is thus made of two parts in the streamwise direction. Upstream, the flow is turbulent, homogeneous in temperature and the channel walls are adiabatic. The inflow conditions are extracted from a recycling plane located further downstream, so that a fully developed turbulent adiabatic flow reaches the second part. In the domain located downstream, isothermal boundary conditions are prescribed at the walls. The boundary layer, initially at equilibrium, is perturbed by the abrupt change of boundary conditions, and a non-equilibrium transient phase is observed until, further downstream, the flow reaches a new equilibrium state, presenting a fully developed thermal boundary layer. The work aims at identifying the non-equilibrium effects that are expected to be encountered in comparable flows, while providing the means to understand them. In particular, the study allows for the identification of an inner region of the developing boundary layer where several quantities are at equilibrium. Other quantities, instead, exhibit a behaviour of their own, especially in proximity to the leading edge. The analysis is supported by mean and root-mean-square profiles of temperature and velocity, as well as by budgets of first- and second-order moment balance equations for the enthalpy and momentum turbulent fields.

JFM classification

Boundary Layers: Boundary layer structure Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 934 , 10 March 2022 , A6
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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