Simple analytical solutions of one-equation modelling for steady/decaying homogeneous turbulence sensitized to small strain

Hiroki Suzuki, Shinsuke Mochizuki, Yutaka Hasegawa

Research output: Contribution to journalConference articlepeer-review

Abstract

This study presents a simple mathematical solution describing the turbulent kinetic energy in steady or decaying homogeneous turbulence sensitized to small strain. Small strain is found to have little effect on the anisotropy of decaying homogeneous turbulence, which is consistent with a previous experiment. The effect of small strain on dissipation in the governing equations of turbulent kinetic energy is examined using the standard k-ϵ model. Two temporal profiles, namely a constant profile and a linear profile, with small strain are used. The steady homogeneous turbulence is maintained by linear forcing, as previously reported. This study mainly focuses on the effects of small strain on the turbulence time scale. When the magnitude of the small strain is small, the effects on the turbulence time scale can be negligibly small, especially for a constant profile. Based on this result, the governing equations for steady or decaying homogeneous turbulence sensitized to small strain can be reduced to simple linear equations. The analytical solution of these equations, a simple exponential function, is the same for the two types of homogeneous turbulence.

Original languageEnglish
Article number012063
JournalJournal of Physics: Conference Series
Volume1324
Issue number1
DOIs
Publication statusPublished - Oct 14 2019
Externally publishedYes
Event2nd International Conference on Physics, Mathematics and Statistics, ICPMS 2019 - Hangzhou, China
Duration: May 22 2019May 24 2019

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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