On The Constitutive Relation for The Reynolds Stresses and The Prandtl-Kolmogorov Hypothesis of Effective Viscosity in Axisymmetric Strained Turbulence  

Oleh:

Otic, I. ; Jovanovic, J.

Jenis: Article from Bulletin/Magazine
Dalam koleksi: Journal of Fluids Engineering vol. 122 no. 1 (2000), page 48-50.
Topik: TURBULENCE; constitutive relation; reynolds stress; prandtl - kolmogorov; hypothesis; viscocity; axisymmetric; turbulence

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: JJ89.1 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

The constitutive relation for the Reynolds stress tensor is considered for turbulence developing in axisymmetric strain fields. It is confirmed that the Reynolds stress tensor is aligned linearly with the mean strain rate. In contrast to the Prandtl - Kolmogorov, hypothesis, the effective viscosity is found to grow in proportion to the anisotropy of turbulence and the length scale based on the magnitude of the mean strain rate. Using invariant theory the effective viscosity is determined for the limiting states of turbulence. Additional analysis of the constitutive relations is supplemented for the dissipation and pressure - strain correlations. It is shown that analytical derivations are in excellent agreement with the data obtained from direct numerical simulations.

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