Abstract
The paper investigates the development of transition in a cylindrical pipe flow with roughness. The problem is tackled here by direct numerical simulation with spectral and spectral element methods. The roughness is simulated by periodic suction/blowing (PSB) applied to the pipe wall for regular wall roughness. Randomly distributed wall roughness is achieved by putting random suction/blowing (RSB) on the pipe wall. The critical amplitude that causes transition is obtained and also the dependence of the critical amplitudes on the Reynolds number. The dependence of the transition time on the roughness amplitudes and the Reynolds numbers is also investigated.
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