scholarly journals Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow

2020 ◽  
Vol 52 ◽  
pp. 103039 ◽  
Author(s):  
Shouqiong Sheng ◽  
Zhiqiang Shao
1970 ◽  
Vol 185 (1) ◽  
pp. 925-930 ◽  
Author(s):  
A. R. Shouman ◽  
C. E. Garcia

An analytical solution for the compressible one-dimensional flow in convergent and divergent ducts with friction is obtained. It is found that a non-dimensional parameter, N, can be formed using the friction factor, duct half-angle and the ratio of specific heats of the gas. Seven flow regimes are describable with the solution, based on certain bounds on the magnitude of N. The regimes are discussed and corollary data are presented graphically.


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