Large-scale structure alternation in rotating plane Poiseuille flow at transitional Reynolds number

Ishida, Takahiro; Tsukahara, Takahiro; Kawaguchi, Yasuo

doi:10.1016/j.applthermaleng.2013.12.029

Cited by 2 publications

(7 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our previous papers, we performed DNS of RPPF with emphasis on the disappearance of TSP and the flow-transition process at transitional Reynolds numbers of Re τ = 54-80. [22,23] We confirmed the occurrence of TSP only for very low rotation numbers and found that RC on the pressure side became dominant in RPPF at Ro τ ≥ 0.5.…”

Section: Introductionsupporting

confidence: 89%

“…The alternation of MEW from TSP to RC on the pressure side was also shown and discussed further in our previous report. [22,23] Iida et al [21] also indicated the disappearance of TSP when a moderate system rotation was imposed. The disappearance of TSP can be detected also from the spanwisevelocity statistics, to be given later.…”

Section: Turbulent Stripe Pattern In Rppfmentioning

confidence: 94%

“…For the time integration, the second-order CrankNicolson and Adams-Bashforth schemes were used for the wall-normal viscous term and the other terms, respectively. Further information about the numerical method employed here can be found in [23,28]. We chose Re τ = 64 to be tested, because its value may be an intermediate point in the subcritical transitional Reynolds-number regime, where one may expect the spontaneous onset of TSP in the static system.…”

Section: Numerical Conditionmentioning

confidence: 99%

“…The present study does not consider higher rotation numbers, since TSP would disappear completely. [23] A large computational domain of 102.4δ × 2δ × 51.2δ with grids of 2048 × 192 × 1024 in the x, y, and z directions was employed. It can be expected that these sizes in the x and z directions allow us to capture several bands of TSP, because the streamwise and spanwise wavelengths of TSP have been roughly identified in previous studies.…”

Section: Numerical Conditionmentioning

confidence: 99%

“…Moreover, it is interesting to discuss the effects of the Coriolis force on the spanwise velocity component, because the spanwise secondary flow must play an important role in the pattern (or the oblique band) formation of TSP in the static system. In our previous work, [23] we parametrically investigated the transitional process of the RPPF as a function of the rotation number. Only at Ro τ = 0.01 for Re τ = 80 which was the minimum value tested preliminarily, did we find slightly enhanced characteristics of TSP: i.e., a larger velocity of the spanwise secondary flow and a larger dimension of the TSP.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effects of spanwise system rotation on turbulent stripes in a plane Poiseuille flow

Ishida

Tsukahara

Kawaguchi

2015

Journal of Turbulence

Self Cite

View full text Add to dashboard Cite

In the transitional channel flow, the large-scale intermittent structure of localised turbulence, which is called the turbulent stripe pattern, can be found in the form of stripe arrangement. The structure of the turbulent stripe pattern is an oblique laminar-turbulent banded pattern and is inclined with respect to the streamwise direction. We performed direct numerical simulation at a transitional Reynolds number and very low-rotation numbers, and focused on the turbulent stripe pattern in the plane Poiseuille flow subjected to spanwise system rotation. We captured the turbulent stripe pattern in a rotating channel flow and found the augmentation and diminution of the turbulent stripe pattern were affected by the spanwise rotation. The contents of the discussion are the spatial size of the turbulent stripe pattern on the basis of the instantaneous flow fields, the energy spectra, and various statistics relating to the spanwise velocity component that characterise the turbulent stripe pattern. The turbulent stripe pattern was found to contain kinetic energy that was larger in very weakly rotating flows than in the static system. It was also found that the magnitude of the spanwise secondary flow increases, while the quasi-laminar region is wider at a very lowrotation number.

show abstract

Section: Introductionsupporting

confidence: 89%

Section: Turbulent Stripe Pattern In Rppfmentioning

confidence: 94%

Section: Numerical Conditionmentioning

confidence: 99%

Section: Numerical Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of spanwise system rotation on turbulent stripes in a plane Poiseuille flow

Ishida

Tsukahara

Kawaguchi

2015

Journal of Turbulence

Self Cite

View full text Add to dashboard Cite

show abstract

Scale interactions in turbulent rotating planar Couette flow: insight through the Reynolds stress transport

Kawata

Alfredsson

2019

J. Fluid Mech.

View full text Add to dashboard Cite

In turbulent planar Couette flow under anticyclonic spanwise system rotation, large-scale roll-cell structures arise due to a Coriolis-force-induced instability. The structures are superimposed on smaller-scale turbulence, and with increasing angular velocity ($\unicode[STIX]{x1D6FA}_{z}$) such roll cells dominate the flow field and small-scale turbulence is instead suppressed in a certain rotation number range $0<Ro\lesssim 0.1$ ($Ro=2\unicode[STIX]{x1D6FA}_{z}h/U_{w}$, where $h$ is the channel half-width, $U_{w}$ the wall velocity). At low rotation numbers around $Ro\approx 0.02$ both large-scale roll cells and smaller-scale turbulence coexist. In the present study, we investigate interaction between these structures through a scale-by-scale analysis of the Reynolds stress transport. We show that at low rotation numbers $Ro\approx 0.01$ the turbulence productions by the mean flow gradient and the Coriolis force occur at different scales and thereby the turbulent energy distribution over a wide range of scales is maintained. On the other hand at higher rotation numbers $Ro\gtrsim 0.05$, a zero-absolute-vorticity state is established and production of small scales from the mean shear disappears although large-scale turbulence production is maintained through the Coriolis force. At high enough Reynolds numbers, where scale separation between the near-wall structures and the roll cells is relatively distinct, transition between these different $Ro$ regimes is found to occur rather abruptly around $Ro\approx 0.02$, resulting in a non-monotonic behaviour of the wall shear stress as a function of $Ro$. It is also shown that at such an intermediate rotation number the roll cells interact with smaller scales by moving near-wall structures towards the core region of the channel, by which the Reynolds stress is transported from relatively small scales near the wall towards larger scales in the channel centre. Such Reynolds stress transport by scale interaction becomes increasingly significant as the Reynolds number increases, and results in a reversed mean velocity gradient at the channel centre at high enough Reynolds numbers.

show abstract

Large-scale structure alternation in rotating plane Poiseuille flow at transitional Reynolds number

Cited by 2 publications

References 32 publications

Effects of spanwise system rotation on turbulent stripes in a plane Poiseuille flow

Effects of spanwise system rotation on turbulent stripes in a plane Poiseuille flow

Scale interactions in turbulent rotating planar Couette flow: insight through the Reynolds stress transport

Contact Info

Product

Resources

About