Optimal growth, t_f, t_0 and wavenumber as function of Re_δ (Wo=20,A=infty)

DOI

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_t0_tf_wavenumber_Redelta_Wo20.dat' shows the parameters corresponding to the optimal perturbation for the Womersley number of 20.This file includes twelve columns: the first column indicates the Womersley number; the second column indicates the pulsation period; the third column indicates the optimal axial wavenumber; the fourth column indicates the optimal azimuthal wavenumber; the fifth column indicates the initial time of the optimal perturbation; the sixth column indicates the final time of the optimal perturbation; the seventh column indicates the evolution time of the optimal perturbation; the eighth column indicates the initial time of the optimal perturbation normalized by the pulsation period; the nineth column indicates the final time of the optimal perturbation normalized by the pulsation period; the tenth column indicates the evolution time of the optimal perturbation normalized by the pulsation period; the eleventh column indicates the maximum energy amplification; the twelfth column indicates the Reynolds number which is defined with the characteristic length of the thickness of the Stokes layer.

(Re,Wo)=(500.00,20.00)#t0:initial time; tf:end time;VARIABLES = "Wo", "T", "k_op", "m_op", "t0_op", "tf_op", "tau_op", "t0_op/T", "tf_op/T", "tau_op/T", "TG", "Re_delta"ZONE T="data, all modes, opf", I=6, J=1

Identifier
DOI https://doi.org/10.1594/PANGAEA.951300
Metadata Access https://ws.pangaea.de/oai/provider?verb=GetRecord&metadataPrefix=datacite4&identifier=oai:pangaea.de:doi:10.1594/PANGAEA.951300
Provenance
Creator Xu, Duo ORCID logo; Song, Baofang ORCID logo; Avila, Marc ORCID logo
Publisher PANGAEA
Publication Year 2022
Rights Creative Commons Attribution 4.0 International; https://creativecommons.org/licenses/by/4.0/
OpenAccess true
Representation
Resource Type Dataset
Format text/tab-separated-values
Size 144 data points
Discipline Earth System Research