Energy Spectra of Flow Past a Circular Cylinder

Singh, Satya Prakash; Mittal, Sanjay

doi:10.1080/10618560410001730278

Cited by 16 publications

(9 citation statements)

References 15 publications

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“…The k −5/3 slope of the inverse energy cascade is hardly found on the large scales. Similar results were also reported in [23]. Since the energy injection scale is on the order of the diameter and vortical structures of the two-dimensional wake (Figure 2) do not grow much larger than the injection scale, the inverse cascade is difficult to observe.…”

Section: Kinetic Energy Spectrasupporting

confidence: 71%

“…A test was carried in this sense and results were almost identically with or without taking into account the mean flow. Also, as indicated in [23], time-averaged energy spectra of flow past a circular cylinder shows a very similar trend as an snapshot spectra, so this procedure has been omitted as well. Since an FFT expects the input data to be periodic, the periodicity effect of the computational domain was also investigated in [23] by mirroring the FFT domain so that the data set was periodic.…”

Section: Kinetic Energy Spectramentioning

confidence: 99%

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Analysis of two-dimensional and three-dimensional wakes of long circular cylinders

Garcia

Weymouth

Tutty

2017

OCEANS 2017 - Aberdeen

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Abstract-The wake behind a bluff body constitutes an intrinsically three-dimensional flow and it is known that twodimensional simulations yield to an unphysical prediction of the body forces because of the nature of the two-dimensional NavierStokes equations. However, three-dimensional simulations are too computationally expensive for cases such as marine risers, which have very large aspect ratios and are exposed to a high Reynolds number flow. A quantitative and qualitative study has been performed to investigate the fundamental differences on the wake of two-dimensional and three-dimensional fixed spanwise periodic cylinders for a Reynolds number of 10 4 . A very fine unifrom grid (503M points) has been used for the near and mid wake range, and it is shown that the wake presents very different vortical structures when the spanwise dimensionality is omitted. In this case, forces such as lift and drag are overpredicted. The kinetic energy spectra of the flow is also investigated to further discuss the physics inherent of each case together and it is found that the contribution of the spanwise velocity on the large wavenumbers is significantly smaller than the other velocity components.

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Section: Kinetic Energy Spectrasupporting

confidence: 71%

Section: Kinetic Energy Spectramentioning

confidence: 99%

Analysis of two-dimensional and three-dimensional wakes of long circular cylinders

Garcia

Weymouth

Tutty

2017

OCEANS 2017 - Aberdeen

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“…Energy spectra analysis has been used successfully for velocity field analysis in a variety of fluid phenomena. 30 The energy spectrum is denoted as E(k), whereû is the discrete Fourier transform of the velocity field 31 Figure 3 shows the energy spectra of the total velocity perturbations. Figure 3(a) reveals that the energy cascade across wavelengths has a very similar structure throughout the spectrum of flow rates over etched glass, again supporting the notion of insensitivity of effect of surface roughness as a function of flow rate, at small flow rates.…”

mentioning

confidence: 99%

Nanoscale surface roughness affects low Reynolds number flow: Experiments and modeling

Jaeger

Ren

Xie

et al. 2012

Applied Physics Letters

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Most micro-channel fabrication strategies generate nano-to-micro-scale, stochastic surface roughness. This inherent stochasticity can potentially be harnessed to direct microfluidic operations such as self-cleaning behavior and localized mixing. This work investigates the effect of stochastic nanoscale roughness on low to moderate Reynolds number Newtonian flow using concurrent modeling and experiments. We fabricate a microscopic channel with tailored hydrofluoric-acid-etched rough surfaces. Optical profilometry and micro-particle-image-velocimetry (micro-PIV) are used to characterize the surface roughness and flow field and is integrated with direct numerical simulation that resolves effects of nanoscale roughness. Results indicate that nanoscale roughness causes flow perturbations that extend up to the mid-plane and is insensitive to flow-rates.

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“…Travin and co-workers 3 reported results on detached-eddy simulations of the flow at Re= 50 000, 140 000, and 3 ϫ 10 6 . Singh and Mittal 4,5 calculated the flow past a circular cylinder for Re= 100 to 10 7 by means of two-dimensional ͑2D͒ LES. In literature, special attention is paid to the flow around a cylinder at subcritical Re= 3900, both through numerical ͑e.g., Refs.…”

mentioning

confidence: 99%

Subcritical flow past a circular cylinder surrounded by a porous layer

2006

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A study of the flow at subcritical Re= 3900 around a circular cylinder, surrounded at some fixed small distance by a porous layer with a hydraulic resistance typical for that of textile materials, has been performed by means of direct numerical simulations. The flow in the space between the porous layer and the solid cylinder was found to be laminar and periodic, with a frequency locked to that of the vortex shedding in the wake behind the cylinder. Time averaged flow velocities underneath the porous material were in good agreement with experimental data from laser Doppler anemometry.

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Energy Spectra of Flow Past a Circular Cylinder

Cited by 16 publications

References 15 publications

Analysis of two-dimensional and three-dimensional wakes of long circular cylinders

Analysis of two-dimensional and three-dimensional wakes of long circular cylinders

Nanoscale surface roughness affects low Reynolds number flow: Experiments and modeling

Subcritical flow past a circular cylinder surrounded by a porous layer

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