On the Stability of a Detonation Wave in a Channel of Variable Cross Section with Supersonic Input and Output Flows

2020 ◽  
pp. 91-106
Author(s):  
Vladimir Yu. Gidaspov ◽  
Dmitry S. Kononov
Keyword(s):  
Detonation Wave ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Input And Output ◽  
The Stability

scholarly journals On the Stability of Rod with Variable Cross-section

2015 ◽  
Vol 111 ◽  
pp. 42-48
Author(s):  
Vladimir I. Andreev ◽  
Nikita Y. Tsybin
Keyword(s):  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
The Stability

scholarly journals Numerical Study of Detonation Wave Propagation in the Variable Cross-Section Channel Using Unstructured Computational Grids

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Alexander Lopato ◽  
Pavel Utkin
Keyword(s):  
Detonation Wave ◽  
Cross Section ◽  
Large Scale ◽  
Numerical Study ◽  
Variable Cross Section ◽  
Approximation Order ◽  
Computational Grids ◽  
Detonation Waves ◽  
Variable Cross ◽  
Two Dimensional

The work is dedicated to the numerical study of detonation wave initiation and propagation in the variable cross-section axisymmetric channel filled with the model hydrogen-air mixture. The channel models the large-scale device for the utilization of worn-out tires. Mathematical model is based on two-dimensional axisymmetric Euler equations supplemented by global chemical kinetics model. The finite volume computational algorithm of the second approximation order for the calculation of two-dimensional flows with detonation waves on fully unstructured grids with triangular cells is developed. Three geometrical configurations of the channel are investigated, each with its own degree of the divergence of the conical part of the channel from the point of view of the pressure from the detonation wave on the end wall of the channel. The problem in consideration relates to the problem of waste recycling in the devices based on the detonation combustion of the fuel.

scholarly journals Limits of Riemann solutions for isentropic MHD in a variable cross-section duct as magnetic field vanishes

2021 ◽  
Author(s):  
Wancheng Sheng ◽  
Tao Xiao
Keyword(s):  
Magnetic Field ◽  
Riemann Problem ◽  
Cross Section ◽  
Variable Cross Section ◽  
Field Method ◽  
Variable Cross ◽  
Riemann Solutions ◽  
Stable Solutions ◽  
The Stability ◽  
Limit Solutions

The stability for magnetic field to the solution of the Riemann problem for the polytropic fluid in a variable cross-section duct is discussed. By the vanishing magnetic field method, the stable solutions are determined by comparing the limit solutions with the solutions of the Riemann problem for the polytropic fluid in a duct obtained by the entropy rate admissibility criterion.

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