Citation:

PANGAEA.932177

Name: Optimal perturbation (helical, Re=2000,A=1,Wo=15): kinetic energy components time series
Published: 2021-06-02
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: 2021-06-02 • 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_energy_helical.dat' shows the time series of the energy of the optimal helical perturbation.

This file includes four columns: the first column indicates dimensionless time; the second column indicates the time normalized by period; the third column indicates the energy of the perturbation; the fourth column indicates the energy of the perturbation normalized by the energy at the initial perturbation time.

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 = "time", "time/period", "energy E(t)", "E(t)/E(t0)"

ZONE T="", I=55852, J=1

Parameter(s):

#	Name	Short Name	Principal Investigator	Method/Device
1	Dimensionless time	t	Xu, Duo	Fluid Simulation Modeling (FSM)
2	Time by pulsation period	t/T	Xu, Duo	Fluid Simulation Modeling (FSM)
3	Energy of the perturbation, E(t)	E(t)	Xu, Duo
4	Energy of the perturbation normalized by the energy at the initial perturbation time, E(t)/E(t0)	E(t)/E(t0)	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:

223408 data points

Data

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

1 t	2 t/T	4 E(t)/E(t0)
27.925268	0.500000	1.000000000000
27.935268	0.500179	1.000106340000
27.945268	0.500358	1.000265630000
27.955268	0.500537	1.000475290000
27.965268	0.500716	1.000734930000
27.975268	0.500895	1.001044040000
27.985268	0.501074	1.001402230000
27.995268	0.501253	1.001809290000
28.005268	0.501432	1.002265070000
28.015268	0.501611	1.002769500000
28.025268	0.501790	1.003322510000
28.035268	0.501970	1.003924070000
28.045268	0.502149	1.004574130000
28.055268	0.502328	1.005272680000
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28.085268	0.502865	1.007659040000
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28.105268	0.503223	1.009492150000
28.115268	0.503402	1.010481360000
28.125268	0.503581	1.011519030000
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28.145268	0.503939	1.013739800000
28.155268	0.504118	1.014922950000
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28.385268	0.508236	1.055647810000
28.395268	0.508415	1.058013760000
28.405268	0.508594	1.060430180000
28.415268	0.508773	1.062897180000
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47.905268	0.857741	204.997145000000
47.915268	0.857920	205.255412000000

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.