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Non-modal three-dimensional optimal perturbation growth in thermally stratified mixing layers
Year:
2021
Source of publication :
Fluids (journal)
Authors :
Vitoshkin, Helena
;
.
Volume :
6 (1)
Co-Authors:

Gelfgat, A. -  School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Ramat Aviv, Tel-Aviv, 6997801, Israel

Facilitators :
From page:
1
To page:
18
(
Total pages:
18
)
Abstract:

A non-modal transient disturbances growth in a stably stratified mixing layer flow is studied numerically. The model accounts for a density gradient within a shear region, implying a heavier layer at the bottom. Numerical analysis of non-modal stability is followed by a full threedimensional direct numerical simulation (DNS) with the optimally perturbed base flow. It is found that the transient growth of two-dimensional disturbances diminishes with the strengthening of stratification, while three-dimensional disturbances cause significant non-modal growth, even for a strong, stable stratification. This non-modal growth is governed mainly by the Holmboe modes and does not necessarily weaken with the increase of the Richardson number. The optimal perturbation consists of two waves traveling in opposite directions. Compared to the two-dimensional transient growth, the three-dimensional growth is found to be larger, taking place at shorter times. The nonmodal growth is observed in linearly stable regimes and, in slightly linearly supercritical regimes, is steeper than that defined by the most unstable eigenmode. The DNS analysis confirms the presence of the structures determined by the transient growth analysis. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Note:
Related Files :
Holmboe instability
Kelvin-helmholtz instability
Non-modal instability
Stratified mixing layer
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Related Content
More details
DOI :
10.3390/fluids6010037
Article number:
37
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
55532
Last updated date:
02/03/2022 17:27
Creation date:
12/07/2021 09:01
Scientific Publication
Non-modal three-dimensional optimal perturbation growth in thermally stratified mixing layers
6 (1)

Gelfgat, A. -  School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Ramat Aviv, Tel-Aviv, 6997801, Israel

Non-modal three-dimensional optimal perturbation growth in thermally stratified mixing layers

A non-modal transient disturbances growth in a stably stratified mixing layer flow is studied numerically. The model accounts for a density gradient within a shear region, implying a heavier layer at the bottom. Numerical analysis of non-modal stability is followed by a full threedimensional direct numerical simulation (DNS) with the optimally perturbed base flow. It is found that the transient growth of two-dimensional disturbances diminishes with the strengthening of stratification, while three-dimensional disturbances cause significant non-modal growth, even for a strong, stable stratification. This non-modal growth is governed mainly by the Holmboe modes and does not necessarily weaken with the increase of the Richardson number. The optimal perturbation consists of two waves traveling in opposite directions. Compared to the two-dimensional transient growth, the three-dimensional growth is found to be larger, taking place at shorter times. The nonmodal growth is observed in linearly stable regimes and, in slightly linearly supercritical regimes, is steeper than that defined by the most unstable eigenmode. The DNS analysis confirms the presence of the structures determined by the transient growth analysis. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Scientific Publication
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