Validation of a new k-epsilon model with the pressure diffusion effects in separated flows

Details Validation of a new k-epsilon model with the pressure diffusion effects in separated flows Validation of a new k-epsilon model with the pressure diffusion effects in separated flows

2007-01-09

arxiv.org/abs/physics/0701112v1

Physics

Fluid Dynamics

21 pages, 2 tables, 7 figures, the initial draft was published in the Annual Research Brief 2001, Center for Turbulence Resear

Scientific paper

The contribution of the "rapid" part of the pressure diffusion to the turbulent kinetic energy balance is analyzed, and a new model to describe its effect is suggested. A new transport equation for the turbulent kinetic energy is derived. The new k-equation does not require any modification in the standard epsilon-equation. A new k-epsilon model, which includes the new k-equation and the standard epsilon-equation, is validated in four separated flows: a planar diffuser, over a backstep, in a channel with wavy walls, and in an axisymmetric combustion chamber. It is shown that a new model reproduces the mean velocity, shear stress, and turbulent kinetic energy profiles and the skin friction coefficient in very good agreement with experimental data.

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