Citation:

PANGAEA.932542

Name: Optimal perturbation (helical, Re=2000,A=1,Wo=15): snapshot axial velocity t=t0
Published: 2021-06-11
License: https://creativecommons.org/licenses/by/4.0/
Keywords: nonlinear instability; transition to turbulence

Always quote citation above when using data! You can download the citation in several formats below.

Published: 2021-06-11 • DOI registered: 2022-12-31

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Abstract:

The data are obtained via an in-house Matlab script (developed by Dr. Baofang Song) to compute the non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows. In this study, a Newtonian fluid driven by pulsatile and oscillatory flow rate flows in a straight pipe. In pulsatile flow, there are three governing parameters: steady Reynolds number (defined by the steady flow component), pulsation amplitude (ratio of oscillatory and steady flow component) and Womersley number (dimensionless pulsation and oscillation frequency). In oscillatory flow, due to vanishment of steady flow component, oscillatory Reynolds number (defined by the oscillation flow component) and Womersley number. The Reynolds number defined by the thickness of Stokes layer is alternatively used for the oscillatory Reynolds number. The study was carried out in a manner that one governing parameter varies while other governing parameters are fixed.

The data file 'OptimalPerturbation_time_StreamwiseVel_helical.dat' shows the streamwise velocity of the optimal helical perturbation in the streamwise-radial cross-section.

This file includes three columns: the first two column 'x' and 'y' indicate Cartesian coordinates in the streamwise-radial cross-section; the third column 'uz' indicates streamwise velocity.

Keyword(s):

nonlinear instability; transition to turbulence

Related to:

Xu, Duo; Song, Baofang; Avila, Marc (accepted): Non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows. Journal of Fluid Mechanics, 907, https://doi.org/10.1017/jfm.2020.940

Event(s):

FLUID_SIMULATION_MODELING (FSM) * Method/Device: Model simulation

Comment:

#(k_op,m_op)=( 1.62000000,1)

VARIABLES = "x(streamwise)", "y(radial)", "uz"

ZONE T="time/period=0.500000", I=192, J=192

Parameter(s):

#	Name	Short Name	Principal Investigator
1	r, coordinate, cylindrical, radial component	r	Xu, Duo
2	z, coordinate, cylindrical, axial component	z	Xu, Duo
3	u_z, velocity, cylindrical, axial component	u_z	Xu, Duo

License:

Creative Commons Attribution 4.0 International (CC-BY-4.0)

Status:

Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)

Size:

110592 data points

Data

Download dataset as tab-delimited text — use the following character encoding:

1 r	2 z	3 u_z
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0.272707696000	0.493251711000	-0.300474572000
0.282807981000	0.493251711000	-0.282340894000
0.292908266000	0.493251711000	-0.263904878000
0.303008551000	0.493251711000	-0.245186267000
0.313108836000	0.493251711000	-0.226205103000
0.323209121000	0.493251711000	-0.206981714000
0.333309406000	0.493251711000	-0.187536684000
0.343409691000	0.493251711000	-0.167890834000
0.353509976000	0.493251711000	-0.148065203000
0.363610261000	0.493251711000	-0.128081020000
0.373710546000	0.493251711000	-0.107959684000
0.383810831000	0.493251711000	-0.087722742700
0.393911116000	0.493251711000	-0.067391865500
0.404011401000	0.493251711000	-0.046988823500
0.414111686000	0.493251711000	-0.026535464600
0.424211971000	0.493251711000	-0.006053690890
0.434312256000	0.493251711000	0.014434565300
0.444412541000	0.493251711000	0.034907364500
0.454512826000	0.493251711000	0.055342784100
0.464613111000	0.493251711000	0.075718941200
0.474713396000	0.493251711000	0.096014016600
0.484813681000	0.493251711000	0.116206278000
0.494913966000	0.493251711000	0.136274102000
0.505014251000	0.493251711000	0.156196001000
0.515114536000	0.493251711000	0.175950642000
0.525214821000	0.493251711000	0.195516869000
0.535315106000	0.493251711000	0.214873733000
0.545415391000	0.493251711000	0.234000504000
0.555515676000	0.493251711000	0.252876702000
0.565615961000	0.493251711000	0.271482113000
0.575716246000	0.493251711000	0.289796814000
0.585816531000	0.493251711000	0.307801194000
0.595916816000	0.493251711000	0.325475972000
0.606017101000	0.493251711000	0.342802223000
0.616117386000	0.493251711000	0.359761392000
0.626217671000	0.493251711000	0.376335320000
0.636317956000	0.493251711000	0.392506258000
0.646418241000	0.493251711000	0.408256891000
0.656518527000	0.493251711000	0.423570353000
0.666618812000	0.493251711000	0.438430244000
0.676719097000	0.493251711000	0.452820654000
0.686819382000	0.493251711000	0.466726171000
0.696919667000	0.493251711000	0.480131907000
0.707019952000	0.493251711000	0.493023505000
0.717120237000	0.493251711000	0.505387162000
0.727220522000	0.493251711000	0.517209637000
0.737320807000	0.493251711000	0.528478271000
0.747421092000	0.493251711000	0.539180998000
0.757521377000	0.493251711000	0.549306355000
0.767621662000	0.493251711000	0.558843502000
0.777721947000	0.493251711000	0.567782226000
0.787822232000	0.493251711000	0.576112954000
0.797922517000	0.493251711000	0.583826765000

Only the first 2000 rows were shown. To view the complete dataset, download it as tab-delimited text. You can still view the full matrix in your browser, but be aware that this may crash the browser due to the huge size.