# Energy fluxes and spectra for turbulent and laminar flows

Handle URI:
http://hdl.handle.net/10754/626489
Title:
Energy fluxes and spectra for turbulent and laminar flows
Authors:
Verma, Mahendra K.; Kumar, Abhishek; Kumar, Praveen; Barman, Satyajit; Chatterjee, Anando G.; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
Two well-known turbulence models to describe the inertial and dissipative ranges simultaneously are by Pao~[Phys. Fluids {\bf 8}, 1063 (1965)] and Pope~[{\em Turbulent Flows.} Cambridge University Press, 2000]. In this paper, we compute energy spectrum $E(k)$ and energy flux $\Pi(k)$ using spectral simulations on grids up to $4096^3$, and show consistency between the numerical results and predictions by the aforementioned models. We also construct a model for laminar flows that predicts $E(k)$ and $\Pi(k)$ to be of the form $\exp(-k)$, and verify the model predictions using numerical simulations. The shell-to-shell energy transfers for the turbulent flows are {\em forward and local} for both inertial and dissipative range, but those for the laminar flows are {\em forward and nonlocal}.
KAUST Department:
Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division
Publisher:
arXiv
Issue Date:
14-May-2017
ARXIV:
arXiv:1705.04917
Type:
Preprint
http://arxiv.org/abs/1705.04917v1; http://arxiv.org/pdf/1705.04917v1
Appears in Collections:
Other/General Submission; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

DC FieldValue Language
dc.contributor.authorVerma, Mahendra K.en
dc.contributor.authorKumar, Abhisheken
dc.contributor.authorKumar, Praveenen
dc.contributor.authorBarman, Satyajiten
dc.contributor.authorChatterjee, Anando G.en
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2017-12-28T07:32:12Z-
dc.date.available2017-12-28T07:32:12Z-
dc.date.issued2017-05-14en
dc.identifier.urihttp://hdl.handle.net/10754/626489-
dc.description.abstractTwo well-known turbulence models to describe the inertial and dissipative ranges simultaneously are by Pao~[Phys. Fluids {\bf 8}, 1063 (1965)] and Pope~[{\em Turbulent Flows.} Cambridge University Press, 2000]. In this paper, we compute energy spectrum $E(k)$ and energy flux $\Pi(k)$ using spectral simulations on grids up to $4096^3$, and show consistency between the numerical results and predictions by the aforementioned models. We also construct a model for laminar flows that predicts $E(k)$ and $\Pi(k)$ to be of the form $\exp(-k)$, and verify the model predictions using numerical simulations. The shell-to-shell energy transfers for the turbulent flows are {\em forward and local} for both inertial and dissipative range, but those for the laminar flows are {\em forward and nonlocal}.en
dc.publisherarXiven
dc.relation.urlhttp://arxiv.org/abs/1705.04917v1en
dc.relation.urlhttp://arxiv.org/pdf/1705.04917v1en
dc.rightsArchived with thanks to arXiven
dc.titleEnergy fluxes and spectra for turbulent and laminar flowsen
dc.typePreprinten
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.eprint.versionPre-printen
dc.contributor.institutionDepartment of Physics, Indian Institute of Technology, Kanpur 208016, Indiaen
dc.identifier.arxividarXiv:1705.04917en
kaust.authorSamtaney, Ravien