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Stability analysis of the confined mixing layer
신동신 대한기계학회 2013 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.27 No.9
This paper investigates the linear stability of confined mixing layers with special emphasis on effects of heat release and compressibility. Velocity and density profiles for laminar flows are obtained by solving the compressible boundary-layer equations. The results show that reflection of supersonic disturbances by the walls makes the confined supersonic mixing layer more unstable than the unconfined free shear layer. Decreasing the distance between the walls makes the flow more unstable. However, subsonic disturbances are relatively unaffected by the walls. Mach number hardly changes the growth rates of supersonic disturbances. The most unstable supersonic disturbances are three-dimensional in confined flows.
신동신,Sin, Dong-Sin 대한기계학회 1996 大韓機械學會論文集B Vol.20 No.2
Laminar flows in which mixing and chemical reactions take place between parallel streams of reactive species are studied numerically. The governing equations for laminar flows are from two-dimensional compressible boundary-layer equations. The chemistry is a finite rate single step irreversible reaction with Arrhenius kinetics. Ignition, premixed flame, and diffusion flame regimes are found to exist in the laminar reacting mixing layer at high activation energy. At high Mach numbers, ignition occurs earlier due to the higher temperatures in the unburnt gas. In diffusion regimes, property variations affect the laminar profiles considerably and need to be included when there are large temperature differences. The maximum temperature of a laminar reacting mixing layer is almost linear with the adiabatic flame temperature at low heat release, but only weakly at high heat release.
Stability analysis of reacting mixing layers with density gradient and wake deficit
신동신 대한기계학회 2011 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.25 No.3
This paper investigates the linear stability of both uniform and non-uniform density plane mixing layers with special emphasis on the effect of the wake component in the velocity profile. Velocity and density profiles for laminar flows are obtained from analytic profiles. Mixing layers with wakes have two generalized inflection points and two unstable modes-sinuous and varicose modes. For uniform density mixing layers, sinuous modes are more unstable than varicose modes, which shows wakes will be destabilized by sinuous modes. For non-uniform density mixing layers with high density in high speed flows, sinuous modes are more unstable than varicose modes. For non-uniform density mixing layers with high density in low speed flows, varicose modes can be more unstable than sinuous modes.
Stability analysis of wakes with density gradient
신동신 대한기계학회 2011 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.25 No.1
This paper investigates the linear stability of wakes with special emphasis on the difference of velocity and density. Velocity and density profiles for laminar flows have gaussian profiles. Incompressible wakes have two generalized inflection points and two unstable modes-sinuous and varicose modes. Sinuous modes are more unstable than varicose modes irrespective of density variation, which shows wakes will be destabilized by sinuous modes. Large velocity difference and density difference lead to more unstable wakes due to large momentum difference.
Three-dimensional instability in compressible reacting mixing layers with heat release
신동신,홍희정 대한기계학회 2009 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.23 No.12
This paper investigates the linear stability of compressible reacting mixing layers with special emphasis on threedimensionality. The governing equations for laminar flows are from two-dimensional compressible boundary-layer equations. The chemistry is a finite rate single step irreversible reaction with Arrhenius kinetics. For incompressible reacting mixing layers, two-dimensional outer modes are more amplified than three-dimensional ones. For compressible non-reacting mixing layers at Mc >0.6 , the most unstable modes are oblique center modes that are subsonic relative to both free streams. For compressible reacting mixing layers with Tad >3 , the most unstable modes are twodimensional outer modes even at high Mach numbers. Three-dimensional modes agree well with experimental data compared to two-dimensional modes.