Abstract
Compressible Navier-Stokes equations are numerically solved to study spatially developing plane Poiseuille flows undergoing transition to turbulence. Navier-Stokes Characteristic Boundary Conditions and Compact Finite Difference Scheme are used in the streamwise (x) and the vertical (y) directions, however a classical Fourier method is employed in the periodic (z) direction. Several subsonic simulations, with isothermal walls, for different Mach numbers and forced with different random-disturbances are carried out to study the effects of compressibility and disturbances on the transition mechanism. Some of the simulations in their early transitional state, (i.e. DNS of Re=2 500 and M=0.5 plane Poiseuille flow perturbed at the inlet with 5% of the streamwise velocity amplitude) show the appearance of ωy vorticity component in the vicinity of the walls. This near wall vertical vorticity along with the generated streaks, located between the counter rotating vortices, evolve downstream with a longitudinal elongation.
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