Averaging of turbulent micropolar media: turbulent couple-stress, heat flux, and energy

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Abstract

The equations governing turbulent flow of micropolar incompressible media are studied using the Reynolds decomposition. The average force-stress is augmented by the Reynolds stress of the same form as in classical continuum mechanics, while the average couple-stress is augmented by a new turbulent couple-stress. Additionally, the average heat flux and internal energy density are modified from the expressions known in classical turbulent fluids. On this basis, the entropy inequality is examined in both classical and micropolar continuum settings.

Original languageEnglish (US)
Article number106
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume72
Issue number3
Early online dateApr 30 2021
DOIs
StatePublished - Jun 2021
Externally publishedYes

Keywords

  • Couple-stress
  • Fluctuations
  • Micropolar media
  • Reynolds stress
  • Turbulence

ASJC Scopus subject areas

  • Applied Mathematics
  • General Physics and Astronomy
  • General Mathematics

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