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

doi:10.1007/s10483-014-1826-6

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

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

吴彦华¹, 任慧颖²

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.

收稿日期:2013-07-04 修回日期:2013-12-16 出版日期:2014-06-01 发布日期:2014-06-01
通讯作者: Yan-hua WU, Ph.D., E-mail: yanhuawu@ntu.edu.sg E-mail:yanhuawu@ntu.edu.sg
基金资助:
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.

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

Yan-hua WU¹, Hui-ying REN²

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.

摘要/Abstract

摘要： 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.

关键词: continuous wavelet, Morlet wavelet, Mexican wavelet, roughness

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

中图分类号:

吴彦华;任慧颖. Analysis of realistic rough surface for its globally dominant parameters using continuous wavelets[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 741-748.

Yan-hua WU;Hui-ying REN. Analysis of realistic rough surface for its globally dominant parameters using continuous wavelets[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 741-748.

参考文献

[1] Wu, Y. and Christensen, K. T. Outer-layer similarity in the presence of a practical rough-wall topography. Physics of Fluids, 19, 085108 (2007)
[2] Johnson, B. and Christensen, K. Turbulent flow over low-order models of highly-irregular surface roughness. AIAA Journal, 47, 1288-1299 (2009)
[3] 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)
[4] 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)
[5] Licari, A. and Christensen, K. Modeling cumulative surface damage and assessing its impact on wall turbulence. AIAA Journal, 49, 2305-2320 (2011)
[6] Ren, H. and Wu, Y. Turbulent boundary layers over smooth and rough forward-facing steps. Physics of Fluids, 23, 045102 (2011)
[7] Wu, Y. and Ren, H. On the impacts of coarse-scale models of realistic roughness on a forward-facing step turbulent flow. International Journal of Heat and Fluid Flow, 40, 15-31 (2013)
[8] 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)
[9] Daubechies, I. Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia (1992)
[10] 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)
[11] Neupauer, R., Powell, K., Qi, X., Lee, D., and Villhauer, D. Characterization of permeability anisotropy using wavelet analysis. Water Resources Research, 42, W07419 (2006)
[12] Kumar, P. A wavelet based methodology for scale-space anisotropic analysis. Geophysical Research Letters, 22, 2777-2780 (1995)

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

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

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价

[1]	N. M. BUJURKE, M. H. KANTLI. Jacobian-free Newton-Krylov subspace method with wavelet-based preconditioner for analysis of transient elastohydrodynamic lubrication problems with surface asperities[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(6): 881-898.
[2]	Luyu SHEN, Changgen LU. Local receptivity in non-parallel boundary layer[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(7): 929-940.
[3]	Luyu SHEN, Changgen LU. Boundary-layer receptivity under interaction of free-stream turbulence and localized wall roughness[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 349-360.
[4]	朱红伟;王道增;程鹏达. Dynamic release process of pollutants during suspended sediment transport in aquatic system[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1411-1420.
[5]	刘建涛杜平安黄明镜周晴. New model of propagation rates of long crack due to structure fatigue[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(5): 575-584.
[6]	岳珠峰. ON THE STUDY OF THE INITIATION OF THE MICRO CRACK ON THE SMOOTH SURFACE OF POLYCRYSTALLINE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 887-893.
[7]	徐大鹏;Julian Hunt. THE EFFECTS OF ROUGHNESS CHANGE ON THE SURFACE LAYER OF THE ATMOSPHERE (I)——THE VARIATIONS OF WIND SPEED AND SHEAR STRESS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 881-890.