A simple analytical model for turbulent kinetic energy dissipation for self-similar round turbulent jets

• DOI: 10.1017/jfm.2024.161
• Publication Date: 2024-03-25T08:57:49Z
• Authors: Gagan Kewalramani; Bowen Ji; Yvan Dossmann; Simon Becker; Michel Gradeck; Nicolas Rimbert
• Keywords: 02 engineering and technology; 0204 chemical engineering

This work presents a simple analytical model for the streamwise and radial variations of turbulent kinetic energy dissipation in an incompressible round jet. The key assumptions are: similarity axial velocity profile with Gaussian shape, axisymmetric flow dominance derivatives mean over direction (similar to boundary layer theory). Initially, simplified eddy-viscosity relation stresses is derived using algebraic stress by Gatski & Speziale ( J. Fluid Mech. , vol. 254, 1993, pp. 59–78). Subsequently, this relation, formulated conservation energy. To extract necessary constants model, experimental statistics jets are obtained through particle image velocimetry measurements. results entrainment coefficient also analysed. When comparing variation from at Reynolds number $1.4\times 10^5$ numerical $1200$ available literature, we observe maximum error $10\,\%$ $15\,\%$ respectively. Finally, validated analyse impact evolution parameters on behaviour discuss its potential significance future studies.