Physics – Fluid Dynamics
Scientific paper
2008-03-18
Physica Scripta T132, 014009 (2008)
Physics
Fluid Dynamics
The letter of 4 pages submitted to proceeding of the International Conference "Turbulent Mixing and Beyond", which was held in
Scientific paper
10.1088/0031-8949/2008/T132/0140
The letter considers non-isothermal fluid flows and revises simplifications of basic hydrodynamic equations for such flows arriving eventually to a generalization of the Oberbeck-Boussinesq approximation valid for arbitrary equation of state including both non-ideal gases as well as liquids. The proposed approach is based on a suggested general definition of potential temperature. Special attention is put on the energy conservation principle, and it is shown that the proposed approximation exactly preserves the total mechanical energy by approximate equations of motion. The principal importance for any turbulent boundary layer model to respect the conservation laws is emphasized explicitly.
L'vov Victor S.
Rudenko Oleksii
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