THE TURBULENT ROUND JET: CONSEQUENCE OF EQUILIBRIUM SIMILARITY ANALYSIS

Andrew Pollard¹; H. Sadeghi²; P. Lavoie²

¹ Queen's University; ² University of Toronto

doi:10.20906/CPS/COB-2015-2738

Resumo

A similarity analysis is applied to the transport equation for the structure function for the turbulent kinetic energy <(dq)2> along the centreline of a round turbulent jet. On the basis of the current analysis, a novel self-similar form of the transport equation is obtained. This equation has the desirable benefit to require less extensive measurements to calculate the inhomogeneous (decay and production) terms of the transport equation. The current analysis argues that the similarity assumptions in combination with the linear decay of the mean velocity are enough to predict a power-law decay of turbulent kinetic energy, <q2>. The theoretical solutions are tested against new experimental data obtained along the centreline of a round turbulent jet at ReD = 50,000. The present similarity form of the transport equation for <(dq)2> is also shown to be closely satisfied by the experimental data.

Palavras-chave: Round jet; Kolmogorov; similarity; flying hot wire