Citation:

PANGAEA.949072

Name: Optimal growth (Re=2000,A=1,Wo=15): value of TG as function to and tf (interpolated to plot)
Published: 2022-09-26
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: 2022-09-26 • 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 't0_TG_contour.dat' shows the maximum energy amplification over modes in the parameter regime of initial time and final time.

This file includes three columns: the first column indicates initial time of perturbations normalized by pulsation period; the second column indicates the evolution time of the perturbation normalized by period; the third column indicates the energy amplification corresponding to the initial time (first column) and the evolution time (second column).

Keyword(s):

nonlinear instability; transition to turbulence

Comment:

#t0:initial time; tf:end time; tau:time duration, tau=tf-t0

VARIABLES = "t0/period", "(tf-t0)/period", "G(t0,tau)"

ZONE T="data, interp2", I=100, J=100

Parameter(s):

#	Name	Short Name	Principal Investigator
1	Time of pertubartion by pulsation period	t0/T	Xu, Duo
2	Time of perturbation energy maximum - Time of perturbation by pulsation period	(tf-t0)/T	Xu, Duo
3	Transient energy growth	TG	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:

30000 data points

Data

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

1 t0/T	2 (tf-t0)/T	3 TG
0.00	0.00000000	7.81665533
0.00	0.01010101	5.16301506
0.00	0.02020202	3.20880158
0.00	0.03030303	1.90003691
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0.00	0.05050505	1.00294212
0.00	0.06060606	1.30665604
0.00	0.07070707	2.03990686
0.00	0.08080808	3.14871662
0.00	0.09090909	4.57910732
0.00	0.10101010	6.27918616
0.00	0.11111111	8.43108815
0.00	0.12121212	11.10711651
0.00	0.13131313	14.20402551
0.00	0.14141414	17.61856942
0.00	0.15151515	21.25320239
0.00	0.16161616	25.30276275
0.00	0.17171717	29.76785138
0.00	0.18181818	34.45519932
0.00	0.19191919	39.17153759
0.00	0.20202020	43.70095030
0.00	0.21212121	47.32495728
0.00	0.22222222	50.31478572
0.00	0.23232323	53.40274206
0.00	0.24242424	57.32113269
0.00	0.25252525	75.99226489
0.00	0.26262626	79.39176097
0.00	0.27272727	81.93769511
0.00	0.28282828	84.13947201
0.00	0.29292929	86.50649636
0.00	0.30303030	89.49918572
0.00	0.31313131	92.71172208
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0.00	0.36363636	108.77883486
0.00	0.37373737	111.96694058
0.00	0.38383838	115.19312163
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