Transient Dynamics in Counter-Rotating Stratified Taylor-Couette Flow

Godwin, Larry E.; Trevelyan, P. M. J.; Akinaga, Takeshi; Generalis, Sotos C.

doi:10.20944/preprints202306.1541.v1

2023

DOI: 10.20944/preprints202306.1541.v1

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Transient Dynamics in Counter-Rotating Stratified Taylor-Couette Flow

Larry E. Godwin¹,

P. M. J. Trevelyan²,

Takeshi Akinaga³

et al.

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.

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Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

Godwin,

Trevelyan,

Akinaga

et al. 2024

Fluids

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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.

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Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

Godwin,

Trevelyan,

Akinaga

et al. 2024

Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

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Transient Dynamics in Counter-Rotating Stratified Taylor-Couette Flow

Cited by 1 publication

References 0 publications

Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

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