Development of a benchmark solution in compressible liquid flows: analytical solution to the water shock tube problem

2021 ◽  
Author(s):  
R. Jishnu Chandran ◽  
A. Salih
Keyword(s):  
Analytical Solution ◽  
Shock Tube ◽  
Compressible Liquid ◽  
Benchmark Solution ◽  
Liquid Flows

Shock and wave dynamics in cavitating compressible liquid flows in injection nozzles

Shock Waves ◽  
2009 ◽  
Vol 19 (1) ◽  
pp. 49-58 ◽  
Author(s):  
I. H. Sezal ◽  
S. J. Schmidt ◽  
G. H. Schnerr ◽  
M. Thalhamer ◽  
M. Förster
Keyword(s):  
Compressible Liquid ◽  
Wave Dynamics ◽  
Liquid Flows

Analytical Buckling Loads of Columns Weakened Simultaneously with Transverse Cracks and Partial Delamination

2019 ◽  
Vol 19 (03) ◽  
pp. 1950027 ◽  
Author(s):  
Igor Planinc ◽  
Simon Schnabl
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Boundary Conditions ◽  
Parametric Study ◽  
Transverse Crack ◽  
Transverse Cracks ◽  
Buckling Loads ◽  
Crack Location ◽  
Benchmark Solution ◽  
First Time

This paper focuses on development of a new mathematical model and its analytical solution for buckling analysis of elastic columns weakened simultaneously with transverse open cracks and partial longitudinal delamination. Consequently, the analytical solution for buckling loads is derived for the first time. The critical buckling loads are calculated using the proposed analytical model. A parametric study is performed to investigate the effects of transverse crack location and magnitude, length and degree of partial longitudinal delamination, and different boundary conditions on critical buckling loads of weakened columns. It is shown that the critical buckling loads of weakened columns can be greatly affected by all the analyzed parameters. Finally, the presented results can be used as a benchmark solution.

Analytical Solution for Isothermal Flow in a Shock Tube Containing Rigid Granular Material

2012 ◽  
Vol 93 (1) ◽  
pp. 13-27 ◽  
Author(s):  
Ali Nemati Hayati ◽  
Mohammad Mehdi Ahmadi ◽  
Soheil Mohammadi
Keyword(s):  
Analytical Solution ◽  
Granular Material ◽  
Shock Tube ◽  
Isothermal Flow
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