STABILITY OF VISCOUS MOTION BETWEEN PARALLEL PLANES FOR FINITE DISTURBANCES

摘要: The linearized equation of motion (2·10) and the mean ρ uv = Py + μ dU / dy are solved simultaneously to find periodic solutions finite amplitude. expression U flow integrals ψ interdependent; ψ, however, depends mainly on value " 0 9 at critical point (defined in §3). Accordingly, is for a set values ; each case corresponding Reynolds number determined. These integrals, which functions , inserted into motion; this leads an between amplitude vibration number. Results . To there corresponds definite For infinitesimal R about 5000; reduced with increase amplitude, reaching its minimum 2900. maximum u 11.5 % (0), |u| across channel 8.4 main flow. actual profile differs slightly from parabola; second derivative, considerably changed.