Abstract
The infinite plane channel flow arising from the impingement of a plane instability wave of finite amplitude on isolated three-dimensional wall roughness is considered. The problem of the transformation of perturbations developing on the roughness in growing modes of secondary instability is solved. This problem describes the development of perturbations leading to the occurrence of a turbulent wedge. Simple relations describing the flow at large distances from the roughness are obtained. From these relations it follows that the angle at the vertex of the turbulent wedge is determined by the amplitude of the impinging wave, while the value of the perturbations generated is proportional to the roughness volume.
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 28–38, May–June, 1995.
The work was carried out with the financial support of the Russian Foundation for Fundamental Research (project No. 93-013-17613).
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Ustinov, M.V. Generation of secondary instability modes in the interaction of a Tollmien-Schlichting wave with isolated roughness. Fluid Dyn 30, 356–365 (1995). https://doi.org/10.1007/BF02282447
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DOI: https://doi.org/10.1007/BF02282447