Summary
Effects of surface corrugation on turbulent flow in a boundary layer are studied using a model based on the direct resonance theory. The induced mean flow due to weakly nonlinear waves, superimposed on the mean and fluctuating components of turbulence, is determined. The mean turbulent flow is affected by the surface corrugation throughout the boundary layer. The corrugated surface generates higher harmonics and affects the streamwise vortices generated by the waves superimposed on turbulence whose mean flow includes secondary induced mean flow components due to the corrugation.
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References
Gustavsson, L. H.: Initial value problem for boundary layer flows. Phys. Fluids22, 1602–1605 (1979).
Benney, D. J., Gustavsson, L. H.: A new mechanism for linear and nonlinear hydrodynamic instability. Studies Appl. Math.64, 185–209 (1981).
Drazin, P. G., Reid, W. H.: Hydrodynamic stability. Cambridge: Cambridge University Press 1981.
Jang, P. S., Benney, D. J., Gran, R. L.: On the origin of streamwise vortices in a turbulent boundary layer. J. Fluid Mech.169, 109–123 (1986).
Morrison, W. R. B., Kronauer, R. E.: Structural similarity for fully developed turbulence in smooth tubes. J. Fluid Mech.39, 117–132 (1996).
Reynolds, W. C., Hussain, A. K. M. F.: The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparison with experiment. J. Fluid Mech.54, 263–288 (1972).
Schlichting, H.: Boundary-layer theory. New York: McGraw-Hill 1979.
Hamilton, J. M., Kim, J., Waleffe, F.: Regeneration of near-wall turbulence structure. Ninth Symposium on Turbulent Shear Flows. Kyoto, Japan, August 1993, pp. 11.5.1.–11.5.6. (1993).
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Riahi, D.N. Direct resonance analysis and modeling for a turbulent boundary layer over a corrugated surface. Acta Mechanica 131, 225–233 (1998). https://doi.org/10.1007/BF01177226
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DOI: https://doi.org/10.1007/BF01177226