TY - GEN

T1 - Generalizable Theory of Reynolds Stress

AU - Lee, T. W.

N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - We generalize the Lagrangian transport theory to include the normal and shear Reynolds stresses, so that a complete tensor can be constructed. The ideology is based on imposition of the momentum and energy balance to a control volume moving at the local mean velocity, which bears the effect of de-coupling the mean from the fluctuation components. The resulting transport equations are verified, with available DNS data. Representation of the fluxes in this form leads to the dissipation scaling, which collapses the u′ 2, v′ 2 and u′v′ gradient profiles for all Reynolds numbers. Addition of the energy spectra, derivable from the maximum entropy principle, completes the Reynolds stress theory, to fully prescribe the turbulence structures in canonical geometries.

AB - We generalize the Lagrangian transport theory to include the normal and shear Reynolds stresses, so that a complete tensor can be constructed. The ideology is based on imposition of the momentum and energy balance to a control volume moving at the local mean velocity, which bears the effect of de-coupling the mean from the fluctuation components. The resulting transport equations are verified, with available DNS data. Representation of the fluxes in this form leads to the dissipation scaling, which collapses the u′ 2, v′ 2 and u′v′ gradient profiles for all Reynolds numbers. Addition of the energy spectra, derivable from the maximum entropy principle, completes the Reynolds stress theory, to fully prescribe the turbulence structures in canonical geometries.

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U2 - 10.1007/978-3-030-80716-0_32

DO - 10.1007/978-3-030-80716-0_32

M3 - Conference contribution

AN - SCOPUS:85118985926

SN - 9783030807153

T3 - Springer Proceedings in Physics

SP - 237

EP - 243

BT - Progress in Turbulence IX - Proceedings of the iTi Conference in Turbulence, 2021

A2 - Örlü, Ramis

A2 - Talamelli, Alessandro

A2 - Peinke, Joachim

A2 - Oberlack, Martin

PB - Springer Science and Business Media Deutschland GmbH

T2 - 9th iTi Conference on Turbulence, iTi 2021

Y2 - 25 February 2021 through 26 February 2021

ER -