scholarly journals Mathematical modeling of the suppression of cellular detonation waves in a hydrogen–air mixture by inert particle clouds

2018 ◽  
Author(s):  
I. A. Bedarev ◽  
D. A. Tropin
Author(s):  
А.И. Лопато ◽  
П.С. Уткин

Представлены математическая модель и вычислительный алгоритм для математического моделирования двумерных течений с волнами детонации на полностью неструктурированных расчетных сетках с треугольными ячейками. Рассмотрена задача о формировании ячеистой детонации в плоском канале для случая устойчивой детонации при различном сеточном разрешении и с использованием схем первого и второго порядков аппроксимации. A mathematical model and a numerical algorithm for the mathematical modeling of two-dimensional flows with detonation waves on fully unstructured computational grids with triangular cells are proposed. The problem concerning the formation of cellular detonation in a plane channel in the case of stable detonation for different grid resolutions and with the use of first and second order schemes is considered.


Shock Waves ◽  
1999 ◽  
Vol 9 (1) ◽  
pp. 11-17 ◽  
Author(s):  
V.N. Gamezo ◽  
D. Desbordes ◽  
E.S. Oran

Author(s):  
Giuki Cael ◽  
Hoi Dick Ng ◽  
Kevin R. Bates ◽  
Nikos Nikiforakis ◽  
Mark Short

This paper presents a simplified reactive multi-gas model for the numerical simulation of detonation waves. The mathematical model is formulated based on a thermodynamically consistent and fully conservative formulation, and is extended to model reactive flow by considering the reactant and product gases as two constituents of the system and modelling the conversion between these by a simple one-step reaction mechanism. This simplified model allows simulations using more appropriate chemico-thermodynamic properties of the combustible mixture and yields close Chapman–Jouguet detonation parameters from detailed chemistry. The governing equations are approximated using a high-resolution finite volume centred scheme in an adaptive mesh refinement code, permitting high-resolution simulations to be performed at flow regions of interest. The algorithm is tested and validated by comparing results to predictions of the one-dimensional linear stability analysis of the steady detonation and through the study of the evolution of two-dimensional cellular detonation waves in gaseous hydrogen-based mixtures.


1976 ◽  
Vol 3 (7-8) ◽  
pp. 517-529 ◽  
Author(s):  
Tateyuki Suzuki ◽  
Shigeharu Ohyagi ◽  
Fumio Higashino ◽  
Akira Takano

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