Nonlinear Instability in the Region of Laminar-Turbulent Transition in Supersonic Three-Dimensional Flow over a Flat Plate
Direct numerical simulation is applied to obtain laminar-turbulent transition in supersonic flow over a flat plate. It is shown that, due to the nonlinear instability, Tollmien–Schlichting waves generated in the boundary layer lead to the formation of oblique disturbances in the flow. These represent a combination of compression and expansion waves, whose intensities can be two orders higher than that of external harmonic disturbances. The patterns of the three-dimensional flow over the plate are presented and the structures of the turbulent flat-plate boundary layers are described for the freestream Mach numbers M = 2 and 4.
Unable to display preview. Download preview PDF.
- 1.S.A. Gaponov and A.A. Maslov, Disturbance Development in Compressible Flows [in Russian] (Nauka, Novosibirsk, 1980).Google Scholar
- 3.V.V. Kozlov, G.R. Grek, L.L. Lefdal, V.G. Chernorai, and M.V. Litvinenko, “Role of Streamwise Localized Structures in Transition to Turbulence in Boundary Layers and Jets (an Overview),” Zh. Prikl.Mekh. Tekhn. Fiz. 43 (2), 62 (2002).Google Scholar
- 7.V.N. Brazhko, “Periodic Structure of Flow and Heat Transfer in the Region of Supersonic Flow Reattachment,” Uch. Zap. TsAGI 10 (2), 113 (1979).Google Scholar
- 8.G.F. Glotov, “Distinctive Features of Generation and Development of Recirculation Flow Zones in Shear Layers of Supersonic Flows,” Zh. Prikl.Mekh. Tekhn. Fiz. 36 (5), 30 (1995).Google Scholar
- 11.L.L. Landau and E. MLifshitz, Fluid Mechanics (Pergamon, London, 1987).Google Scholar