Theoretical Study of Finite‐Amplitude Traveling Waves in Rigid‐Walled Ducts: Behavior for Strengths Precluding Shock Formation

1971 ◽  
Vol 49 (1B) ◽  
pp. 306-318 ◽  
Author(s):  
Alan B. Coppens
Keyword(s):  
Traveling Waves ◽  
Theoretical Study ◽  
Finite Amplitude ◽  
Shock Formation

Numerical modeling of finite-amplitude sound beams: Shock formation in the near field of a cw plane piston source

2001 ◽  
Vol 110 (1) ◽  
pp. 95-108 ◽  
Author(s):  
V. A. Khokhlova ◽  
R. Souchon ◽  
J. Tavakkoli ◽  
O. A. Sapozhnikov ◽  
D. Cathignol
Keyword(s):  
Numerical Modeling ◽  
Near Field ◽  
Finite Amplitude ◽  
Shock Formation ◽  
Sound Beams

Experimental and Theoretical Study of Surge in a Small Centrifugal Compressor

1981 ◽  
Vol 103 (3) ◽  
pp. 391-395 ◽  
Author(s):  
K. E. Hansen ◽  
P. Jo̸rgensen ◽  
P. S. Larsen
Keyword(s):  
Relaxation Time ◽  
Centrifugal Compressor ◽  
Theoretical Study ◽  
Stability Limit ◽  
Finite Amplitude ◽  
Axial Compressors ◽  
Lumped Parameter ◽  
Model Equations ◽  
The Stability ◽  
The One

Experimental results for deep surge in a small single-stage centrifugal compressor are compared to predictions based on the lumped parameter Greitzer model developed for axial compressors. Both negative and positive flow branches of the steady characteristic, being essential for the model, were measured. Predictions are in fair agreement with data when using a relaxation time smaller than the one proposed for axial compressors. The stability limit of the model equations have been studied for finite amplitude disturbances.

The propagation of high frequency, finite acceleration pulses and shocks in viscoelastic materials

1967 ◽  
Vol 296 (1447) ◽  
pp. 498-518 ◽  
Keyword(s):  
Transmission Lines ◽  
High Frequency ◽  
Viscoelastic Model ◽  
Finite Amplitude ◽  
Elastic Behaviour ◽  
Shock Propagation ◽  
Elastic Model ◽  
Shock Formation ◽  
Rate Dependent ◽  
Nonlinear Elastic

The modes of propagation of one dimensional, finite amplitude, high frequency pulses in viscoelastic (rate dependent) materials is discussed in detail. Shock formation and shock propagation, together with conditions under which the model can be approximated to by an elastic model, are emphasized. Whereas the elastic model predicts shock formation at a wavelet if β , the ratio of induced acceleration to a natural acceleration defined by the material, is positive, the viscoelastic model predicts shock formation only when β > 1. Linear and nonlinear elastic behaviour are approached in the limits | β | → 0 and | β |→ ∞ respectively, over distances which are small compared with a characteristic relaxation distance. For intermediate values of β conditions at a wavelet differ from those predicted by an elastic model. The expansion techniques described are also applicable to the equations governing the behaviours of nonlinear transmission lines.

The shock formation distance in a bounded sound beam of finite amplitude

2003 ◽  
Vol 114 (1) ◽  
pp. 114-121 ◽  
Author(s):  
Chao Tao ◽  
Jian Ma ◽  
Zhemin Zhu ◽  
Gonghuan Du ◽  
Zihong Ping
Keyword(s):  
Finite Amplitude ◽  
Shock Formation ◽  
Sound Beam
Sign in / Sign up

Export Citation Format

Share Document