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Fractal characteristics of turbulent–non-turbulent interface in supersonic turbulent boundary layers

Published online by Cambridge University Press:  26 March 2018

Yi Zhuang ,
Huijun Tan Open the ORCID record for Huijun Tan [Opens in a new window] ,
Hexia Huang ,
Yazhou Liu  and
Yue Zhang
Yi Zhuang
Affiliation:
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China MIIT(Ministry of Industry and Information Technology) Key Laboratory of Aero-Engine Thermal Environment and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Huijun Tan*
Affiliation:
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China MIIT(Ministry of Industry and Information Technology) Key Laboratory of Aero-Engine Thermal Environment and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Hexia Huang
Affiliation:
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China MIIT(Ministry of Industry and Information Technology) Key Laboratory of Aero-Engine Thermal Environment and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Yazhou Liu
Affiliation:
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China MIIT(Ministry of Industry and Information Technology) Key Laboratory of Aero-Engine Thermal Environment and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Yue Zhang
Affiliation:
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China MIIT(Ministry of Industry and Information Technology) Key Laboratory of Aero-Engine Thermal Environment and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
†Email address for correspondence: thj@263.net
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Abstract

The turbulent–non-turbulent interface (TNTI) of supersonic turbulent boundary layers is a fundamental but relatively unexplored physics problem. In this study, we present experimental results from fractal analysis on the TNTI of supersonic turbulent boundary layers, and test the applicability of the additive law for these flows. By applying the nanoparticle-tracer planar laser scattering (NPLS) technique in a supersonic wind tunnel, we obtain data covering nearly three decades in scale. The box-counting results indicate that the TNTI of supersonic turbulent boundary layers is a self-similar fractal with a fractal dimension of 2.31. By comparing data sets acquired from two orthogonal planes, we find that the scaling exponent does not depend on direction, consistent with the validity of the additive law for the TNTI of turbulent boundary layers in a scale range with the large-scale limit not exceeding approximately $0.05\unicode[STIX]{x1D6FF}$.

JFM classification

Boundary Layers: Boundary Layers Nonlinear Dynamical Systems: Fractals Aerodynamics: High-speed flow
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 843 , 25 May 2018 , R2
Copyright
© 2018 Cambridge University Press 

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