Citation:

PANGAEA.949161

Name: Optimal growth as function of t_f (Re=2000,A=2.6,Wo=15)
Published: 2022-09-28
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: 2022-09-28 • 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 'time_TG_A2.6.dat' shows the time series of the maximum energy amplification for the Reynolds number of 2000, the amplitude of 2.6 and the Womersley number of 15.

This file includes three columns: the first column indicates the time; the second column indicates the time normalized by the pulsation period; the third column indicates maximum energy amplification.

Keyword(s):

nonlinear instability; transition to turbulence

Comment:

#(Re,A,Wo)=(2000,2.60,15.00)

VARIABLES = "time", "time/T", "max(G)|time"

ZONE T="enveloped TG", I=15000, J=1

Parameter(s):

#	Name	Short Name	Principal Investigator
1	Dimensionless time	t	Xu, Duo
2	Time by pulsation period	t/T	Xu, Duo
3	Maximum of transient energy growth	max(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:

45000 data points

Data

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

1 t	2 t/T	3 max(TG)
13.96263402	0.25000000	1.00000000
13.96821944	0.25010001	1.01379609
13.97380487	0.25020001	1.02758970
13.97939029	0.25030002	1.04138083
13.98497572	0.25040003	1.05516947
13.99056115	0.25050003	1.06895564
13.99614657	0.25060004	1.08273932
14.00173200	0.25070005	1.09652051
14.00731742	0.25080005	1.11029922
14.01290285	0.25090006	1.12407544
14.01848828	0.25100007	1.13784917
14.02407370	0.25110007	1.15162042
14.02965913	0.25120008	1.16538917
14.03524455	0.25130009	1.17915543
14.04082998	0.25140009	1.19291920
14.04641541	0.25150010	1.20668047
14.05200083	0.25160011	1.22043925
14.05758626	0.25170011	1.23419554
14.06317168	0.25180012	1.24794932
14.06875711	0.25190013	1.26170061
14.07434254	0.25200013	1.27544940
14.07992796	0.25210014	1.28919569
14.08551339	0.25220015	1.30293948
14.09109881	0.25230015	1.31668076
14.09668424	0.25240016	1.33041954
14.10226967	0.25250017	1.34415582
14.10785509	0.25260017	1.35788959
14.11344052	0.25270018	1.37162085
14.11902594	0.25280019	1.38534960
14.12461137	0.25290019	1.39907585
14.13019679	0.25300020	1.41279958
14.13578222	0.25310021	1.42652080
14.14136765	0.25320021	1.44023951
14.14695307	0.25330022	1.45395571
14.15253850	0.25340023	1.46766939
14.15812392	0.25350023	1.48138056
14.16370935	0.25360024	1.49508921
14.16929478	0.25370025	1.50879534
14.17488020	0.25380025	1.52249895
14.18046563	0.25390026	1.53620004
14.18605105	0.25400027	1.54989861
14.19163648	0.25410027	1.56359466
14.19722191	0.25420028	1.57728818
14.20280733	0.25430029	1.59097918
14.20839276	0.25440029	1.60466765
14.21397818	0.25450030	1.61835360
14.21956361	0.25460031	1.63203701
14.22514904	0.25470031	1.64571790
14.23073446	0.25480032	1.65939626
14.23631989	0.25490033	1.67307209
14.24190531	0.25500033	1.68674538
14.24749074	0.25510034	1.70041614
14.25307617	0.25520035	1.71408437
14.25866159	0.25530035	1.72775006
14.26424702	0.25540036	1.74141321
14.26983244	0.25550037	1.75507383
14.27541787	0.25560037	1.76873191
14.28100330	0.25570038	1.78238744
14.28658872	0.25580039	1.79604044
14.29217415	0.25590039	1.80969089
14.29775957	0.25600040	1.82333880
14.30334500	0.25610041	1.83698416
14.30893043	0.25620041	1.85062698
14.31451585	0.25630042	1.86426726
14.32010128	0.25640043	1.87790498
14.32568670	0.25650043	1.89154016
14.33127213	0.25660044	1.90517278
14.33685756	0.25670045	1.91880285
14.34244298	0.25680045	1.93243038
14.34802841	0.25690046	1.94605534
14.35361383	0.25700047	1.95967776
14.35919926	0.25710047	1.97329762
14.36478469	0.25720048	1.98691492
14.37037011	0.25730049	2.00052966
14.37595554	0.25740049	2.01414185
14.38154096	0.25750050	2.02775147
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14.39271182	0.25770051	2.05496304
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14.41505352	0.25810054	2.10935540
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14.42622437	0.25830055	2.13653617
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14.43739522	0.25850057	2.16370667
14.44298065	0.25860057	2.17728806
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14.45415150	0.25880059	2.20444313
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14.46532235	0.25900060	2.23158789
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14.65522684	0.26240083	2.69146407
14.66081226	0.26250083	2.70494429
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14.68315397	0.26290086	2.75883899
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14.69432482	0.26310087	2.78577062
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14.70549567	0.26330089	2.81269175
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14.72225195	0.26360091	2.85305376
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14.73342280	0.26380092	2.87994863
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14.74459365	0.26400093	2.90683298
14.75017908	0.26410094	2.92027121
14.75576450	0.26420095	2.93370680
14.76134993	0.26430095	2.94713975
14.76693536	0.26440096	2.96057007
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14.77810621	0.26460097	2.98742280
14.78369163	0.26470098	3.00084520
14.78927706	0.26480099	3.01426497
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14.88981473	0.26660111	3.25536793
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14.90657100	0.26690113	3.29546810
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14.95683984	0.26780119	3.41562458
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15.04062123	0.26930129	3.61540353
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15.09089006	0.27020135	3.73498048
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15.10206091	0.27040136	3.76152345
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25.01619201	0.44791319	36.50708276
25.02177743	0.44801320	36.56807487
25.02736286	0.44811321	36.62976890
25.03294828	0.44821321	36.69238924
25.03853371	0.44831322	36.75504267
25.04411914	0.44841323	36.81772910
25.04970456	0.44851323	36.88044849
25.05528999	0.44861324	36.94320077
25.06087541	0.44871325	37.00598587
25.06646084	0.44881325	37.06880373
25.07204627	0.44891326	37.13165430
25.07763169	0.44901327	37.19453750
25.08321712	0.44911327	37.25745328
25.08880254	0.44921328	37.32040157
25.09438797	0.44931329	37.38338231
25.09997340	0.44941329	37.44639544
25.10555882	0.44951330	37.50944090
25.11114425	0.44961331	37.57251862
25.11672967	0.44971331	37.63562854
25.12231510	0.44981332	37.69877059
25.12790053	0.44991333	37.76194472

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.