Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows

M. K. Verma, A. Kumar, P. Kumar, S. Barman, A. G. Chatterjee, Ravi Samtaney, R. A. Stepanov

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Two well-known turbulence models to describe the energy spectrum in the inertial and dissipative ranges simultaneously are by Pao (1965) and Pope (2000). In this paper, we compute energy spectrum E(k) and energy flux Π(k) using direct numerical simulations on grids up to 40963, and show consistency between the numerical results and predictions by the aforementioned models for turbulence flows. We also consider the laminar flow in which viscosity dominates over nonlinearity. For this case we suggest a modified model that predicts E(k) ~ k−1 exp(−k) and Π(k) ~ k exp(−k) in dissipation range of scales and verify it using numerical simulations. We emphasize the difference revealing local energy transfer for the turbulent flows and nonlocal one for the laminar flows at low Reynolds number.
Original languageEnglish (US)
Pages (from-to)862-873
Number of pages12
JournalFluid Dynamics
Volume53
Issue number6
DOIs
StatePublished - Feb 22 2019

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