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Numerical investigation of skewed spatially evolving mixing layers

Published online by Cambridge University Press:  19 June 2020

M. Meldi Open the ORCID record for M. Meldi [Opens in a new window] ,
A. Mariotti Open the ORCID record for A. Mariotti [Opens in a new window] ,
M. V. Salvetti  and
P. Sagaut
M. Meldi*
Affiliation:
Department of Fluid Flow, Heat Transfer and Combustion, Institut PPRIME, CNRS, ENSMA, Université de Poitiers, UPR 3346, SP2MI - Téléport, 211 Bd. Marie et Pierre Curie, BP 30179, 86962Futuroscope Chasseneuil CEDEX, France
A. Mariotti
Affiliation:
Dipartimento di Ingegneria Civile e Industriale, Università di Pisa, Via G. Caruso 8, 56122Pisa, Italy
M. V. Salvetti
Affiliation:
Dipartimento di Ingegneria Civile e Industriale, Università di Pisa, Via G. Caruso 8, 56122Pisa, Italy
P. Sagaut
Affiliation:
M2P2, Aix-Marseille Université, CNRS, École Centrale Marseille, 13451Marseille, France
*
†Email address for correspondence: [email protected]
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Abstract

The sensitivity of turbulent dynamics in spatially evolving mixing layers to small skew angles $\unicode[STIX]{x1D703}$ is investigated via direct numerical simulation. Angle $\unicode[STIX]{x1D703}$ is a measure of the lack of parallelism between the two asymptotic flows, whose interaction creates the turbulent mixing region. The analysis is performed considering a large range of values of the shear intensity parameter $\unicode[STIX]{x1D6FC}$. This two-dimensional parameter space is explored using the results of a database of 18 direct numerical simulations. Instantaneous fields as well as time-averaged quantities are investigated, highlighting important mechanisms in the emergence of turbulence and its characteristics for this class of flows. In addition, a stochastic approach is used in which $\unicode[STIX]{x1D703}$ and $\unicode[STIX]{x1D6FC}$ are considered as random variables with a given probability distribution. The response surfaces of flow statistics in the parameter space are built through non-intrusive generalized polynomial chaos. It is found that variations of the parameter $\unicode[STIX]{x1D6FC}$ have a primary effect on the growth of the mixing region. A secondary effect associated with $\unicode[STIX]{x1D703}$ is observed as well. Higher values for the skew angle are responsible for a rapid increase in growth of the inlet structures, enhancing the development of the mixing region. The impact on the turbulence features and, in particular, on the Reynolds stress tensor is also significant. A modification of the normalized diagonal components of the Reynolds stress tensor due to $\unicode[STIX]{x1D703}$ is observed. In addition, the interaction between the parameters $\unicode[STIX]{x1D703}$ and $\unicode[STIX]{x1D6FC}$ is here the governing element.

JFM classification

Turbulent Flows: Turbulence simulation Wakes/Jets: Shear layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 897 , 25 August 2020 , A35
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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