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

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 c...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2021-06, Vol.72 (3), Article 106
1. Verfasser: Martin, Ostoja-Starzewski
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description 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.
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subjects Continuum mechanics
Engineering
Fluid dynamics
Fluid flow
Flux density
Heat flux
Heat transfer
Incompressible flow
Internal energy
Mathematical Methods in Physics
Reynolds stress
Theoretical and Applied Mechanics
Turbulent flow
title Averaging of turbulent micropolar media: turbulent couple-stress, heat flux, and energy
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