Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

Abstract

Stratified Taylor–Couette flow (STCF) undergoes transient growth. Recent studies have shown that there exists transient amplification in the linear regime of counter-rotating STCF. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy flux (BP), and other energy components that contributes to the total optimal transient kinetic energy. These contributions affect the total energy by influencing the perturbation to extract kinetic energy (KE) from the mean flow. The decay of the amplification factor resulted from the positive amplification of both BP and SP, while the growth is attributed to the negative and positive amplification of BP and SP, respectively. The optimal SP is positively amplified, implying that there is the possibility of constant linear growth. These findings agree with the linear growth rate for increasing values of Grashof number.

Publication DOI: https://doi.org/10.3390/fluids9050106
Divisions: College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
College of Engineering & Physical Sciences > Aston Fluids Group
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Funding Information: This research was funded by RISE EU Horizon 2020 ATM2BT, Atomistic to Molecular Turbulence, Grant No. 824022, PTDF ED/PHD/GLE/826/16 scholarship and DTI EPSRC grant, Aston University sponsorship.
Additional Information: Copyright © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)
Uncontrolled Keywords: bifurcation,stability,thermal diffusivity,buoyancy,convection,Taylor–Couette flow,nonlinear dynamics,Mathematics(all)
Publication ISSN: 2311-5521
Data Access Statement: The Matlab sources codes used to generate the data in this study can be<br/>made available upon request.
Last Modified: 18 Jun 2024 17:27
Date Deposited: 01 May 2024 10:43
Full Text Link:
Related URLs: https://www.mdp ... 11-5521/9/5/106 (Publisher URL)
PURE Output Type: Article
Published Date: 2024-05
Published Online Date: 2024-04-29
Accepted Date: 2024-04-28
Authors: Godwin, Larry
Trevelyan, Philip (ORCID Profile 0000-0003-2780-6680)
Akinaga, Takeshi (ORCID Profile 0000-0001-7402-5436)
Generalis, Sotos (ORCID Profile 0000-0001-7660-0633)

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