Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (6): 741-748.doi: https://doi.org/10.1007/s10483-014-1826-6

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Analysis of realistic rough surface for its globally dominant parameters using continuous wavelets

Yan-hua WU1, Hui-ying REN2   

  1. 1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore;
    2. Hydrology Technical Group, Pacific Northwest National Laboratory, P.O. Box 999, Richland, WA 99352, U. S. A.
  • Received:2013-07-04 Revised:2013-12-16 Online:2014-06-01 Published:2014-06-01
  • Supported by:
    This study is supported by Wright State University, Dayton, OH, U. S.A.The authors thank Professor K. T. CHRISTENSEN at University of Illinois at Urbana-Champaign for providing the roughness topography data.

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 deposi-tion 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.

Key words: continuous wavelet, Morlet wavelet, Mexican wavelet, roughness

2010 MSC Number: 

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