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Analytical Model of Strong Mach Reflection

Publication ,  Journal Article
Qin, Z; Shi, A; Dowell, EH; Pei, Y; Huang, E
Published in: AIAA Journal
September 1, 2022

A Mach reflection structure in steady supersonic flow is studied in which a transonic region exists behind the reflected shock wave. Here, the measure of a strong Mach reflection is the total pressure loss of the shock reflection system. A corresponding classification chart provides a method to directly characterize the regions of the strong Mach reflection. An analytical model is proposed for predicting the Mach stem height in an explicit function. The theoretical results are in good agreement with the numerical simulations. Assumptions supporting the analytical model are thus validated. A linear relationship is found between the dimensionless Mach stem height and the dimensionless wedge length, which is validated with both analytical and numerical results. Taking advantage of this feature, a generalized method to determine the domain regarding the dimensionless wedge length in the strong Mach reflection is created. The analytical method provides a quick and precise prediction of boundaries for more detailed simulations and experiments.

Duke Scholars

Published In

AIAA Journal

DOI

EISSN

1533-385X

ISSN

0001-1452

Publication Date

September 1, 2022

Volume

60

Issue

9

Start / End Page

5187 / 5202

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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MLA
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Qin, Z., Shi, A., Dowell, E. H., Pei, Y., & Huang, E. (2022). Analytical Model of Strong Mach Reflection. AIAA Journal, 60(9), 5187–5202. https://doi.org/10.2514/1.J061701
Qin, Z., A. Shi, E. H. Dowell, Y. Pei, and E. Huang. “Analytical Model of Strong Mach Reflection.” AIAA Journal 60, no. 9 (September 1, 2022): 5187–5202. https://doi.org/10.2514/1.J061701.
Qin Z, Shi A, Dowell EH, Pei Y, Huang E. Analytical Model of Strong Mach Reflection. AIAA Journal. 2022 Sep 1;60(9):5187–202.
Qin, Z., et al. “Analytical Model of Strong Mach Reflection.” AIAA Journal, vol. 60, no. 9, Sept. 2022, pp. 5187–202. Scopus, doi:10.2514/1.J061701.
Qin Z, Shi A, Dowell EH, Pei Y, Huang E. Analytical Model of Strong Mach Reflection. AIAA Journal. 2022 Sep 1;60(9):5187–5202.

Published In

AIAA Journal

DOI

EISSN

1533-385X

ISSN

0001-1452

Publication Date

September 1, 2022

Volume

60

Issue

9

Start / End Page

5187 / 5202

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering