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THE STABILITY OF DISTURBANCES IN SUPERSONIC BOUNDARY LAYER OF A COMPRESSIBLE GAS WITH THE HEAT EXCHANGE ON THE WALL
Gaponov S.A., Terekhova N.M.
Khristianovich Institute Of Theoretical And Applied Mechanics SB RAS, Novosibirsk, Russia
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Citation:
Gaponov, S.A. and Terekhova, N.M., (2013) The stability of disturbances in supersonic boundary layer of a compressible gas with the heat exchange on the wall, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 111 - 116.
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Keywords:supersonic boundary layer; hydrodynamic stability; laminar-turbulent transition |
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Abstracts:
In the linear and non-linear approximation (weakly nonlinear theory of stability) the interaction of disturbances in the boundary layer of a compressible gas while cooling the surface is studied. The moderate (Mach number M = 2) and high (M = 5.35) regimes of supersonic speeds is considered. It is established that the cooling of the surface leads to a significant change in the linear evolution of the perturbation: the vortex disturbances of the first mode stabilized and the acoustic disturbances of the second mode are destabilized, the degree of change is determined by the rate of change of the temperature factor. The nonlinear interaction into a three-wave systems at high (M = 5.35) supersonic velocities in the boundary layer of a compressible gas is between waves of different nature (acoustic and vortex) in the regime of the parametric resonance. The pumping wave is the plane acoustic wave which exited three-dimensional sub-harmonic components of the vortex nature. At the same time, similar to the vortex interaction of waves with M = 2 is considerably weaker. It is expected that surface cooling will prolong the laminar regime for M = 2 and accelerate laminar-turbulent transition at M = 5.35. |
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References:
Aronin, G.S. (1962), Prakticheskay dinamika [Practical Aerodynamics], Military, Moskow, USSR. Gaponov, S.A. and Maslov, A.A. (1980), Razvitie vozmushcheniy v szhimaemykh potorakh [The development of disturbances in compressible flows], Science, Novosibirsk, USSR. Gaponov, S.A. and Maslennikova, I.I. (1997), "Subharmonic instability of a supersonic boundary layer", Teplofizika i aerodinamika, Vol. 4, no. 1, pp.3-12. Gaponov, S.A. and Terekhova, N.M. (2010), "Stability and three-wave interaction of disturbances in supersonic boundary layer with cooling", Vestnik NGU. Seria: Fizika,. Vol. 5, no. 3, pp .52-62. Gaponov, S.A. and Terekhova, N.M. (2011), "The linear evolution and interaction of disturbances in the boundary layers of compressible gas-tight and porous surfaces with a heat transfer", Izvestia RAN, MZhG, no. 3. pp. 69-83.
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