Stably stratified Taylor–Couette flows

Lopez, José M.; Lopez, Juan M.; Marqués, Francisco

doi:10.1098/rsta.2022.0115

Cited by 5 publications

(4 citation statements)

References 53 publications

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“…Additionally, we assume a negative temperature gradient with an inner temperature T i = T + ∆T/2, and an outer temperature T o = T − ∆T/2, as depicted in Figure 1, where T is the ambient temperature and ∆T is the temperature difference between the two cylinders. Thus, the model is governed by the incompressible Navier-Stokes equations for rapidly rotating flows, as described by Lopez et al [28,38,39]:…”

Section: Modelmentioning

confidence: 99%

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Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

et al. 2023

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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.

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Section: Modelmentioning

confidence: 99%

“…The circular Couette flow, often known as Taylor-Couette flow (TCF), has been widely studied experimentally and theoretically [25][26][27][28][29]. The TCF problem has been known to be one of the pioneering problems of hydrodynamic stability for several decades, since the early experimental and theoretical works of Taylor [30].…”

Section: Introductionmentioning

confidence: 99%

Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

et al. 2023

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“…The buoyancy effect, resulting from the density differences caused by stratification, introduces a new dimension to the dynamics of STCF. It interacts with the rotational forces, and its impact on the stability of the flow has been the subject of considerable research interest [2][3][4][5][6][7][8][9][10]. Understanding the dynamics of stratified Taylor-Couette flow holds relevance in many practical applications, including geophysics, oceanography, and industrial processes in the oil and gas sector.…”

Section: Introductionmentioning

confidence: 99%

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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“…Stratification refers to the presence of density gradients in the fluid, which can occur due to variations in temperature, salinity, or other properties.The buoyancy effect, resulting from the density differences caused by stratification, introduces a new dimension to the dynamics of STCF. It interacts with the rotational forces, and its impact on the stability of the flow has been the subject of considerable research interest [10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow

Godwin,

Trevelyan,

Akinaga

et al. 2023

Preprint

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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. It is reported that as Gr increases, the maximum amplification factor ($G_0$) initially decays before it eventually starts growing after reaching a certain critical value Gr$_{c}$. Assuming other parameters of the model are kept constant, the value Gr$_{c}$ changes with respect to different speed ratios of the cylinders. The observed decay/growth pattern of $G_0$ is attributed to the interplay between the induced shear and buoyancy. In this study, the mechanism that triggers this observed pattern is investigated. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy production (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 $G_0$ 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 Gr.

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Stably stratified Taylor–Couette flows

Cited by 5 publications

References 53 publications

Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow

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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