Multiple‐plane‐jet turbulent mixing analysis via a kinetic theory approach

Abstract

Turbulent mixing of a single jet, twin jets, triple jets and multiple jets is synthetically analysed in this paper. Chung's kinetic theory of turbulence and a modified Green's function are employed to solve this problem. The probability density function of fluid elements in the velocity space of multiple plane jets and the corresponding turbulence correlations are revealed in this analysis. The calculated results are found to be in good agreement with the available experimental data. The internal physical structure of the turbulent mixing mechanism seems better understood via the kinetic theory approach. The present study provides the fundamentals for theoretical understanding of multiple-jet turbulent mixing and further application to multiple-jet turbulent combustion analysis. KEY WORDS

The application of turbulent kinetic theory to a reacting flow of turbulent plane jet

“…In the following paragraphs the calculated results of pdf distributions of chemical species, turbulent transport of chemical species, temperature distribution, turbulent heat transfer, and flame structure are discussed in detail. The mean velocity profile in the fully-developed region is compared with Wygnanski's (Gutmark and Wygnanski, 1976) experimental data and is found in reasonably good agreement (Chuang et al, 1991). The turbulent energy distributions with velocity ratios R = 0 and R = 0.16 are compared with Wygnanski's (Gutmark and Wygnanski, 1976) and Bradbury's (Bradbury, 1965) experimental data respectively, and found in good agreement (Chuang et al, 1991).…”

“…The mean velocity profile in the fully-developed region is compared with Wygnanski's (Gutmark and Wygnanski, 1976) experimental data and is found in reasonably good agreement (Chuang et al, 1991). The turbulent energy distributions with velocity ratios R = 0 and R = 0.16 are compared with Wygnanski's (Gutmark and Wygnanski, 1976) and Bradbury's (Bradbury, 1965) experimental data respectively, and found in good agreement (Chuang et al, 1991).…”