An attempt to use mechanical energy conservation principle in case of channel developed turbulent flow. (English) Zbl 1288.76030

Valkov, Nedialko

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5–12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 237-245 (2004).

Summary: A hypothesis about the fluid flow character is proposed which consists in the splitting of a flow in two parts. The first one is treated dynamically, and the second statistically. The instability generating energy coming from the dynamical flow being distributed by the statistical flow results in an influence on the first one and forms the observed flow. The connection between the two flows is obtained by the requireme nt of the mechanical energy conservation. A corresponding model is analyzed in some details and applied to the case of developed turbulence in a channel Poiseuille flow. The mean velocity profiles for values of Re=13800, 23200, 32800 are computed and compared with the existing experimental data. Numerically derived velocity profiles with Re from 100 to 143000 are given.
For the entire collection see [Zbl 1048.53002].

MSC:

76F02

Fundamentals of turbulence