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Application of the minimum entropy production principle to shock reflection induced by separation

Published online by Cambridge University Press:  26 October 2018

Chengpeng Wang Open the ORCID record for Chengpeng Wang [Opens in a new window] ,
Longsheng Xue  and
Keming Cheng
Chengpeng Wang*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, PR China
Longsheng Xue
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, PR China
Keming Cheng
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, PR China
*
†Email address for correspondence: wangcp@nuaa.edu.cn
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Abstract

In this paper separation-induced shock reflection is studied theoretically and experimentally. An analytical model is proposed to establish the connections among upstream conditions, downstream conditions and shock configurations. Furthermore, the minimum entropy production principle is employed to determine the incident shock angles as well as the criterion for the transition from regular reflection to Mach reflection, which agrees well with experimental results. Additionally, a solution path for a reflected shock that fulfills the minimum entropy production principle is found in the overall regular reflection domain, based on which the steadiest shock configuration may be determined according to upstream and downstream conditions.

JFM classification

Boundary Layers: Boundary layer separation Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 857 , 25 December 2018 , pp. 784 - 805
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Copyright
© 2018 Cambridge University Press 

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