Theoretical investigation of shock stand-off distance for non-equilibrium flows over spheres

Hua Shen; Chih-Yung WEN

doi:10.1016/j.cja.2018.02.013

Theoretical investigation of shock stand-off distance for non-equilibrium flows over spheres

Hua Shen, Chih-Yung WEN

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We derived a theoretical solution of the shock stand-off distance for a non-equilibrium flow over spheres based on Wen and Hornung’s solution and Olivier’s solution. Compared with previous approaches, the main advantage of the present approach is allowing an analytic solution without involving any semi-empirical parameter for the whole non-equilibrium flow regimes. The effects of some important physical quantities therefore can be fully revealed via the analytic solution. By combining the current solution with Ideal Dissociating Gas (IDG) model, we investigate the effects of free stream kinetic energy and free stream dissociation level (which can be very different between different facilities) on the shock stand-off distance.

Original language	English (US)
Pages (from-to)	990-996
Number of pages	7
Journal	Chinese Journal of Aeronautics
Volume	31
Issue number	5
DOIs	https://doi.org/10.1016/j.cja.2018.02.013
State	Published - Feb 20 2018

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This study was co-supported by the Research Grants Council of Hong Kong, China (No. C5010-14E) and the National Natural Science Foundation of China (No. 11372265).

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10.1016/j.cja.2018.02.013

https://repository.kaust.edu.sa/bitstream/10754/627185/1/1-s2.0-S1000936118300724-main.pdf

Cite this

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title = "Theoretical investigation of shock stand-off distance for non-equilibrium flows over spheres",

abstract = "We derived a theoretical solution of the shock stand-off distance for a non-equilibrium flow over spheres based on Wen and Hornung{\textquoteright}s solution and Olivier{\textquoteright}s solution. Compared with previous approaches, the main advantage of the present approach is allowing an analytic solution without involving any semi-empirical parameter for the whole non-equilibrium flow regimes. The effects of some important physical quantities therefore can be fully revealed via the analytic solution. By combining the current solution with Ideal Dissociating Gas (IDG) model, we investigate the effects of free stream kinetic energy and free stream dissociation level (which can be very different between different facilities) on the shock stand-off distance.",

author = "Hua Shen and Chih-Yung WEN",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This study was co-supported by the Research Grants Council of Hong Kong, China (No. C5010-14E) and the National Natural Science Foundation of China (No. 11372265).",

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AU - Shen, Hua

AU - WEN, Chih-Yung

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This study was co-supported by the Research Grants Council of Hong Kong, China (No. C5010-14E) and the National Natural Science Foundation of China (No. 11372265).

PY - 2018/2/20

Y1 - 2018/2/20

N2 - We derived a theoretical solution of the shock stand-off distance for a non-equilibrium flow over spheres based on Wen and Hornung’s solution and Olivier’s solution. Compared with previous approaches, the main advantage of the present approach is allowing an analytic solution without involving any semi-empirical parameter for the whole non-equilibrium flow regimes. The effects of some important physical quantities therefore can be fully revealed via the analytic solution. By combining the current solution with Ideal Dissociating Gas (IDG) model, we investigate the effects of free stream kinetic energy and free stream dissociation level (which can be very different between different facilities) on the shock stand-off distance.

AB - We derived a theoretical solution of the shock stand-off distance for a non-equilibrium flow over spheres based on Wen and Hornung’s solution and Olivier’s solution. Compared with previous approaches, the main advantage of the present approach is allowing an analytic solution without involving any semi-empirical parameter for the whole non-equilibrium flow regimes. The effects of some important physical quantities therefore can be fully revealed via the analytic solution. By combining the current solution with Ideal Dissociating Gas (IDG) model, we investigate the effects of free stream kinetic energy and free stream dissociation level (which can be very different between different facilities) on the shock stand-off distance.

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DO - 10.1016/j.cja.2018.02.013

M3 - Article

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SP - 990

EP - 996

JO - Chinese Journal of Aeronautics

JF - Chinese Journal of Aeronautics

IS - 5

ER -

Theoretical investigation of shock stand-off distance for non-equilibrium flows over spheres

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