Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number106
Number of pages13
Issue number5
Early online date29 Apr 2024
Publication statusPublished - May 2024

Bibliographical note

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 (

Data Access Statement

The Matlab sources codes used to generate the data in this study can be
made available upon request.


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


Dive into the research topics of 'Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow'. Together they form a unique fingerprint.

Cite this