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Analysis of Two Dimensional and Three Dimensional Supersonic Turbulence Flow around Tandem Cavities  

Woo Chel-Hun (Department of Aerospace Engineering, Chosun University,)
Kim Jae-Soo (Department of Aerospace Engineering, Chosun University)
Lee Kyung-Hwan (Department of Aerospace Engineering, Sunchon National University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.8, 2006 , pp. 1256-1265 More about this Journal
Abstract
The supersonic flows around tandem cavities were investigated by two-dimensional and three-dimensional numerical simulations using the Reynolds-Averaged Navier-Stokes (RANS) equation with the k- ω turbulence model. The flow around a cavity is characterized as unsteady flow because of the formation and dissipation of vortices due to the interaction between the freestream shear layer and cavity internal flow, the generation of shock and expansion waves, and the acoustic effect transmitted from wake flow to upstream. The upwind TVD scheme based on the flux vector split with van Leer's limiter was used as the numerical method. Numerical calculations were performed by the parallel processing with time discretizations carried out by the 4th-order Runge- Kutta method. The aspect ratios of cavities are 3 for the first cavity and 1 for the second cavity. The ratio of cavity interval to depth is 1. The ratio of cavity width to depth is 1 in the case of three dimensional flow. The Mach number and the Reynolds number were 1.5 and $4.5{\times}10^5$, respectively. The characteristics of the dominant frequency between two- dimensional and three-dimensional flows were compared, and the characteristics of the second cavity flow due to the first cavity flow was analyzed. Both two dimensional and three dimensional flow oscillations were in the 'shear layer mode', which is based on the feedback mechanism of Rossiter's formula. However, three dimensional flow was much less turbulent than two dimensional flow, depending on whether it could inflow and outflow laterally. The dominant frequencies of the two dimensional flow and three dimensional flows coincided with Rossiter's 2nd mode frequency. The another dominant frequency of the three dimensional flow corresponded to Rossiter's 1st mode frequency.
Keywords
Tandem Cavity flow; Unsteady 3-Dimensional Supersonic Turbulence Flow; ${\kappa}-{\omega}$ Turbulence Model; Dominant Frequency Analyses; 4th-Order Runge-Kutta Method;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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