Vortex instability from a near-vertical heated surface in a porous medium II. Nonlinear evolution

摘要: We consider the nonlinear evolution of vortex instabilities in a near-vertical free convection boundary layer porous medium. At such inclinations, both small amplitude and strongly disturbances may be described within confines boundary-layer theory with no further approximations. Steady vortices are induced by placing thermal disturbance computing their development downstream using parabolic solver. It is found that strength resulting depends not only on wavelength disturbance, but also its point introduction into layer. Whenever grow, they attain maximum before decaying once more. Curiously, there specific yields largest possible response downstream, sense smaller larger initial amplitudes yield weaker responses. This unusual phenomenon shown to related shape vortex.