Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

Abstract

This study focuses on the investigation of stratified Taylor–Couette flow (STCF) using non- modal analysis, which has received relatively limited attention compared to other shear flows. The dynamics of perturbations under different temperature conditions are explored, and their patterns of amplification are analyzed. The study highlights the correlation between flow configurations, emphasizing the similarity in transient dynamics despite different speed ratios. The subcritical effects of thermal stratification on disturbance dynamics are examined, considering the interplay between viscous and buoyancy effects counteracted by strong centrifugal forces. It is found that increasing the wall temperature beyond a critical value leads to buoyancy forces dominating, resulting in a linear increase in the amplification factor. The research reveals significant deviations from previous results, indicating the significant role of temperature stratification.

Publication DOI: https://doi.org/10.3390/math11143250
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
Additional Information: Copyright:© 2023 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( CCBY) license (https:// creativecommons.org/licenses/by/ 4.0/). Funding Information: This research was funded by RISE Horizon 2020 ATM2BT, Atomistic to Molecular Turbulence, grant no. 824022, TETFUND scholarship and DTI EPSRC grant, Aston University sponsorship. Publisher Copyright: © 2023 by the authors.
Uncontrolled Keywords: Taylor–Couette flow,bifurcation,buoyancy,convection,nonlinear dynamics,stability,thermal diffusivity,Computer Science (miscellaneous),Engineering (miscellaneous),Mathematics(all)
Publication ISSN: 2227-7390
Last Modified: 17 Jun 2024 08:17
Date Deposited: 26 Jul 2023 14:12
Full Text Link:
Related URLs: https://www.mdp ... 7390/11/14/3250 (Publisher URL)
PURE Output Type: Article
Published Date: 2023-07-24
Published Online Date: 2023-07-23
Accepted Date: 2023-07-22
Authors: Generalis, Sotos (ORCID Profile 0000-0001-7660-0633)
Akinaga, Takeshi
Trevelyan, Philip (ORCID Profile 0000-0003-2780-6680)
Godwin, Larry

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