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Xu, Duo; Song, Baofang; Avila, Marc (2022): Optimal growth as function of Wo (Re=2000,A=4) [dataset]. PANGAEA, https://doi.org/10.1594/PANGAEA.949206

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Published: 2022-09-29DOI 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 'TG_Wo_A4.dat' shows the dependence of the maximum energy amplification on the Womersley number for the Reynolds number of 2000 and the amplitude of 4.
This file includes two columns: the first column indicates the Womersley number; the second column indicates the maximum energy amplification.
Keyword(s):
nonlinear instability; transition to turbulence
Comment:
#(Re,A)=(2000.00,4.00)
#t0:initial time; tf:end time;
VARIABLES = "Wo", "TG (max at a Wo)"
ZONE T="data, classical (k=0,m=1)", I=15, J=1
Parameter(s):
#NameShort NameUnitPrincipal InvestigatorMethod/DeviceComment
Pulsation amplitudeAXu, Duo
Transient energy growthTGXu, Duo
Status:
Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)
Size:
72 data points

Data

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


A

TG
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26975.88522679
36371.95422515
53670.81163988
71631.53847221
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30289.01477477
40288.81003635
17190.25180044
26975.84573681
36207.13620718
53774824381.24628900
778452087893.60669000
879369944055.24008000
101824208751.69636870
1572848.55318320
181018.75463886
20109.35899230
30185.48253258
40191.97369539
17194.83636893
26975.88522679
36371.95422515
53774824381.24628900
778452087893.60669000
879369944055.24008000
101824208751.69636870
1572848.55318320
181018.75463886
20291.94890324
30289.01477477
40288.81003635