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 -