Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Transient Dynamics in Counter-Rotating Stratified Taylor-Couette Flow

Version 1 : Received: 20 June 2023 / Approved: 21 June 2023 / Online: 21 June 2023 (11:32:10 CEST)

A peer-reviewed article of this Preprint also exists.

Godwin, L.E.; Trevelyan, P.M.J.; Akinaga, T.; Generalis, S.C. Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow. Mathematics 2023, 11, 3250. Godwin, L.E.; Trevelyan, P.M.J.; Akinaga, T.; Generalis, S.C. Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow. Mathematics 2023, 11, 3250.

Abstract

Non-normal mode stability analysis has long been employed to study linear transient characteristics of wall bounded shear flows. However, the application of this approach to investigate shear flows with stratified thermal conditions (STCF) has received limited attention. This paper examines thermal effects on Taylor-Couette flow. The results in this study indicate the possibility of a subcritical bifurcation in stratified Taylor-Couette flow.

Keywords

Taylor-Couette flow; Boussinesq fluids; incompressible flow; transition to turbulence; non-linear fluid dynamics; stability theory

Subject

Computer Science and Mathematics, Mathematics

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