Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

Sotos Generalis*, Takeshi Akinaga, Philip Trevelyan, Larry Godwin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number3250
Pages (from-to)3250-3265
Number of pages15
JournalMDPI Mathematics
Issue number14
Early online date23 Jul 2023
Publication statusPublished - 24 Jul 2023

Bibliographical note

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:// 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.


  • Taylor–Couette flow
  • bifurcation
  • buoyancy
  • convection
  • nonlinear dynamics
  • stability
  • thermal diffusivity


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