Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (12): 1453-1464.doi: https://doi.org/10.1007/s10483-013-1759-7

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Shocklets in compressible flows

袁湘江 田俊武 沈清 李筠   

  1. China Academy of Aerospace Aerodynamics, Beijing 100074, P. R. China
  • 收稿日期:2013-01-15 修回日期:2013-07-08 出版日期:2013-11-29 发布日期:2013-11-29

Shocklets in compressible flows

 YUAN Xiang-Jiang, TIAN Jun-Wu, SHEN Qing, LI Yun   

  1. China Academy of Aerospace Aerodynamics, Beijing 100074, P. R. China
  • Received:2013-01-15 Revised:2013-07-08 Online:2013-11-29 Published:2013-11-29

摘要: The mechanism of shocklets is studied theoretically and numerically for the stationary fluid, uniform compressible flow, and boundary layer flow. The conditions that trigger shock waves for sound wave, weak discontinuity, and Tollmien-Schlichting (T-S) wave in compressible flows are investigated. The relations between the three types of waves and shocklets are further analyzed and discussed. Different stages of the shocklet formation process are simulated. The results show that the three waves in compressible flows will transfer to shocklets only when the initial disturbance amplitudes are greater than the certain threshold values. In compressible boundary layers, the shocklets evolved from T-S wave exist only in a finite region near the surface instead of the whole wavefront.

关键词: shocklet, compressible flow, boundary layer, Tollmien-Schlichting (T-S) wave

Abstract: The mechanism of shocklets is studied theoretically and numerically for the stationary fluid, uniform compressible flow, and boundary layer flow. The conditions that trigger shock waves for sound wave, weak discontinuity, and Tollmien-Schlichting (T-S) wave in compressible flows are investigated. The relations between the three types of waves and shocklets are further analyzed and discussed. Different stages of the shocklet formation process are simulated. The results show that the three waves in compressible flows will transfer to shocklets only when the initial disturbance amplitudes are greater than the certain threshold values. In compressible boundary layers, the shocklets evolved from T-S wave exist only in a finite region near the surface instead of the whole wavefront.

Key words: null, shocklet, compressible flow, boundary layer, Tollmien-Schlichting (T-S) wave

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