Abstract
Continuous Morlet and Mexican hat wavelets are used to analyze a highly irregular rough surface replicated from real turbine blades which are roughened by deposition of foreign materials. The globally dominant aspect ratio, length scale, and orientation of the roughness elements are determined. These parameters extracted from this highly irregular rough surface are important for the future studies of their effects on turbulent flows over this kind of rough surfaces encountered in Washington aerospace and power generating industries.
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Wu, Y. and Christensen, K. T. Outer-layer similarity in the presence of a practical rough-wall topography. Physics of Fluids, 19, 085108 (2007)
Johnson, B. and Christensen, K. Turbulent flow over low-order models of highly-irregular surface roughness. AIAA Journal, 47, 1288–1299 (2009)
Mejia-Alvarez, R. and Christensen, K. Low-order representations of irregular surface roughness and their impact on a turbulent boundary layer. Physics of Fluids 22, 015106 (2010)
Wu, Y. and Christensen, K. T. Spatial structure of a turbulent boundary layer with irregular surface roughness. Journal of Fluid Mechanics, 655, 380–418 (2010)
Licari, A. and Christensen, K. Modeling cumulative surface damage and assessing its impact on wall turbulence. AIAA Journal, 49, 2305–2320 (2011)
Ren, H. and Wu, Y. Turbulent boundary layers over smooth and rough forward-facing steps. Physics of Fluids, 23, 045102 (2011)
Wu, Y. and Ren, H. On the impacts of coarse-scale models of realistic roughness on a forwardfacing step turbulent flow. International Journal of Heat and Fluid Flow, 40, 15–31 (2013)
Wu, Y., Ren, H., and Tang, H. Turbulent flow over a rough backward-facing step. International Journal of Heat and Fluid Flow, 44, 155–169 (2013)
Daubechies, I. Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia (1992)
Neupauer, R. and Powell, K. A fully-anisotropic morlet wavelet to identify dominant orientations in a porous medium. Computers and Geosciences, 31, 465–471 (2005)
Neupauer, R., Powell, K., Qi, X., Lee, D., and Villhauer, D. Characterization of permeability anisotropy using wavelet analysis. Water Resources Research, 42, W07419 (2006)
Kumar, P. A wavelet based methodology for scale-space anisotropic analysis. Geophysical Research Letters, 22, 2777–2780 (1995)
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Wu, Yh., Ren, Hy. Analysis of realistic rough surface for its globally dominant parameters using continuous wavelets. Appl. Math. Mech.-Engl. Ed. 35, 741–748 (2014). https://doi.org/10.1007/s10483-014-1826-6
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DOI: https://doi.org/10.1007/s10483-014-1826-6