Citation:

PANGAEA.951252

Name: Optimal perturbation (Wo=10, Re_δ=530): snapshots in a (z,r)-cross-section
Published: 2022-11-25
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: 2022-11-25 • DOI registered: 2023-01-13

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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_ZRCros_Wo10_Redelta530.dat' shows the time series of the three components of velocity and spanwise vorticity in the radial-radial cross-section, for the Reynolds number (defined with Stokes layer thickness) of 530 and Womersley number of 10.

This file includes six columns: the first column indicates the streamwise coordinate; the second column indicates the radial coordinate; the third column indicates the radial component of velocity; the fourth column indicates the azimuthal component of velocity; the fifth column indicates the streamwise component of velocity; the sixth column indicates the spanwise vorticity.

Keyword(s):

nonlinear instability; transition to turbulence

Comment:

#(k_op,m_op)=( 2.50000000,1)

VARIABLES = "z(axial)", "r(radial)", "u_r", "u_theta", "u_z", "omega_theta"

Parameter(s):

#	Name	Short Name	Principal Investigator
1	z, coordinate, cylindrical, axial component	z	Xu, Duo
2	r, coordinate, cylindrical, radial component	r	Xu, Duo
3	u_r, velocity, cylindrical, radial component	u_r	Xu, Duo
4	u_θ, velocity, cylindrical, azimuthal component	u_θ	Xu, Duo
5	u_z, velocity, cylindrical, axial component	u_z	Xu, Duo
6	ω_θ, vorticity, cylindrical, azimuthal component	ω_θ	Xu, Duo
7	Pulsation period	T	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:

32514048 data points

Data

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

1 z	2 r	3 u_r	4 u_θ	5 u_z	6 ω_θ	7 T
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0.968657735000	0.499391406000	-0.000213668104	0.023785630900	0.056324694500	45.817066900000	0.350000
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1.014472630000	0.499391406000	-0.000230950175	0.011882382500	0.027740565100	22.837474800000	0.350000
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1.040652570000	0.499391406000	-0.000235440400	0.004760171620	0.010656188600	9.090224920000	0.350000
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1.053742540000	0.499391406000	-0.000236176960	0.001160827660	0.002027175540	2.143421080000	0.350000
1.060287520000	0.499391406000	-0.000236166014	-0.000641673294	-0.002292898990	-1.335285000000	0.350000
1.066832510000	0.499391406000	-0.000235902174	-0.002443487130	-0.006610518220	-4.812561220000	0.350000
1.073377490000	0.499391406000	-0.000235385725	-0.004242684420	-0.010921058700	-8.284684030000	0.350000
1.079922470000	0.499391406000	-0.000234617219	-0.006037338540	-0.015219904700	-11.747935400000	0.350000
1.086467460000	0.499391406000	-0.000233597479	-0.007825527730	-0.019502452800	-15.198606800000	0.350000
1.093012440000	0.499391406000	-0.000232327597	-0.009605337140	-0.023764117200	-18.633003100000	0.350000
1.099557430000	0.499391406000	-0.000230808933	-0.011374860900	-0.028000334400	-22.047446700000	0.350000
1.106102410000	0.499391406000	-0.000229043113	-0.013132204200	-0.032206568200	-25.438281400000	0.350000
1.112647400000	0.499391406000	-0.000227032027	-0.014875485200	-0.036378314300	-28.801876200000	0.350000
1.119192380000	0.499391406000	-0.000224777830	-0.016602837200	-0.040511105600	-32.134629100000	0.350000
1.125737370000	0.499391406000	-0.000222282936	-0.018312410400	-0.044600516700	-35.432971500000	0.350000
1.132282350000	0.499391406000	-0.000219550015	-0.020002374200	-0.048642168300	-38.693371400000	0.350000
1.138827340000	0.499391406000	-0.000216581994	-0.021670919000	-0.052631732800	-41.912337500000	0.350000
1.145372320000	0.499391406000	-0.000213382053	-0.023316258000	-0.056564937800	-45.086422700000	0.350000
1.151917310000	0.499391406000	-0.000209953616	-0.024936629400	-0.060437571700	-48.212228300000	0.350000
1.158462290000	0.499391406000	-0.000206300355	-0.026530298100	-0.064245487500	-51.286407100000	0.350000
1.165007280000	0.499391406000	-0.000202426184	-0.028095557400	-0.067984607600	-54.305667100000	0.350000
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0.379609112000	0.493251711000	0.025721235100	-0.143056556000	-0.339652509000	-17.177317200000	0.350000
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0.392699082000	0.493251711000	0.026129807200	-0.108550559000	-0.257446041000	-11.732161200000	0.350000
0.399244066000	0.493251711000	0.026292224500	-0.091113928900	-0.215907194000	-8.989276700000	0.350000
0.405789051000	0.493251711000	0.026426487400	-0.073579731900	-0.174137149000	-6.236766270000	0.350000
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0.418879020000	0.493251711000	0.026610005400	-0.038293825300	-0.090082575400	-0.714664557000	0.350000
0.425424005000	0.493251711000	0.026659063900	-0.020579900700	-0.047888054700	2.049013520000	0.350000
0.431968990000	0.493251711000	0.026679575200	-0.002843938670	-0.005642254250	4.810497460000	0.350000
0.438513975000	0.493251711000	0.026671517400	0.014895068700	0.036609588100	7.566830190000	0.350000
0.445058959000	0.493251711000	0.026634899000	0.032618126100	0.078822227900	10.315060200000	0.350000
0.451603944000	0.493251711000	0.026569759300	0.050306255200	0.120950463000	13.052244500000	0.350000
0.458148929000	0.493251711000	0.026476168100	0.067940515100	0.162949181000	15.775452200000	0.350000
0.464693913000	0.493251711000	0.026354225500	0.085502022600	0.204773409000	18.481767200000	0.350000
0.471238898000	0.493251711000	0.026204062100	0.102971972000	0.246378361000	21.168291400000	0.350000
0.477783883000	0.493251711000	0.026025838800	0.120331657000	0.287719485000	23.832148000000	0.350000
0.484328867000	0.493251711000	0.025819746400	0.137562488000	0.328752511000	26.470484700000	0.350000
0.490873852000	0.493251711000	0.025586005500	0.154646013000	0.369433501000	29.080476000000	0.350000
0.497418837000	0.493251711000	0.025324866500	0.171563940000	0.409718892000	31.659327200000	0.350000
0.503963822000	0.493251711000	0.025036609000	0.188298151000	0.449565546000	34.204276900000	0.350000
0.510508806000	0.493251711000	0.024721541600	0.204830728000	0.488930794000	36.712599700000	0.350000
0.517053791000	0.493251711000	0.024380001900	0.221143968000	0.527772483000	39.181609800000	0.350000

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.