Citation:

PANGAEA.949218

Name: Optimal t_f and t_0 as function of Wo(Re=2000,A=1)
Published: 2022-09-29
License: https://creativecommons.org/licenses/by/4.0/
Keywords: nonlinear instability; transition to turbulence

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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_tf_Wo.dat' shows the variation of optimal time (corresponding to the maximum energy amplification) with the Womersley number for the Reynolds number of 2000 and the amplitude of 1.

This file includes four columns: the first column indicates the Womersley number; the second column indicates the initial time of perturbations normalized by pulsation period; the third column indicates the evolution time of the perturbation normalized by pulsation period; the fourth column indicates the final time normalized by the pulsation period.

Keyword(s):

nonlinear instability; transition to turbulence

Comment:

#(Re,A)=(2000.00,1.00)

#t0:initial time; tf:end time;

VARIABLES = "Wo", "t0/T", "(tf-t0)/T", "tf/T"

ZONE T="data, raw", I=15, J=1

Parameter(s):

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

260 data points

Data

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

1 Wo	2 t0/T	3 (tf-t0)/T	4 tf/T
1	0.25	0.00799953	0.25799953
2	0.28	0.03000071	0.31000071
3	0.29	0.07000828	0.36000828
5	0.55	0.30000707	0.85000707
7	0.45	0.49996775	0.94996775
8	0.45	0.59995047	1.04995047
10	0.45	0.60001414	1.05001414
15	0.50	0.70008281	1.20008281
18	0.55	0.69975336	1.24975336
20	0.45	3.10033829	3.55033829
25	0.35	4.99970333	5.34970333
30	0.35	7.00082806	7.35082806
35	0.35	9.49966014	9.84966014
40	0.35	12.49939261	12.84939261
45	0.35	16.00002548	16.35002548
1	0.25	0.00787817	0.25787817
2	0.28	0.03151268	0.31151268
3	0.29	0.07090353	0.36090353
4	0.42	0.12605071	0.55028985
5	0.55	0.19695424	0.74695424
6	0.50	0.28361411	0.78361411
7	0.45	0.38603031	0.83603031
8	0.45	0.50420286	0.95420286
9	0.45	0.63813174	1.08813174
10	0.45	0.78781697	1.23781697
11	0.45	0.95325853	1.40641598
12	0.46	1.13445643	1.59592877
13	0.47	1.33141068	1.80461919
14	0.49	1.54412126	2.03075105
15	0.50	1.77258818	2.27258818
16	0.52	2.01681144	2.53544816
17	0.54	2.27679104	2.81666495
18	0.55	2.55252698	3.10252698
19	0.51	2.84401926	3.35162795
20	0.45	3.15126787	3.60126787
21	0.42	3.47427283	3.89439457
22	0.39	3.81303413	4.20592108
23	0.37	4.16755176	4.53814307
24	0.36	4.53782574	4.89335617
25	0.35	4.92385605	5.27385605
26	0.35	5.32564271	5.67564271
27	0.35	5.74318570	6.09318570
28	0.35	6.17648503	6.52648503
29	0.35	6.62554070	6.97554070
30	0.35	7.09035271	7.44035271
31	0.35	7.57092107	7.92092107
32	0.35	8.06724576	8.41724576
33	0.35	8.57932678	8.92932678
34	0.35	9.10716415	9.45716415
35	0.35	9.65075786	10.00075786
36	0.35	10.21010791	10.56010791
37	0.35	10.78521430	11.13521430
38	0.35	11.37607702	11.72607702
39	0.35	11.98269609	12.33269609
40	0.35	12.60507149	12.95507149
41	0.35	13.24320324	13.59320324
42	0.35	13.89709132	14.24709132
43	0.35	14.56673574	14.91673574
44	0.35	15.25213651	15.60213651
45	0.35	15.95329361	16.30329361
46	0.35	16.67020705	17.02020705
47	0.35	17.40287683	17.75287683
48	0.35	18.15130295	18.50130295
49	0.35	18.91548541	19.26548541
50	0.35	19.69542421	20.04542421