Two-dimensional reactive flow dynamics in cellular detonation waves

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.


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.


2018 ◽  
Vol 82 (6) ◽  
pp. 1367-1383 ◽  
Author(s):  
Ioannis Varvaris ◽  
Christen Duus Børgesen ◽  
Charlotte Kjaergaard ◽  
Bo V. Iversen

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
R. P. Meeten ◽  
G. S. Docherty-Walthew ◽  
G. V. Morozov

1996 ◽  
Vol 26 (2) ◽  
pp. 3059-3065 ◽  
Author(s):  
J. Lee ◽  
A.G. Tomboulides ◽  
S.A. Orszag ◽  
R.A. Yetter ◽  
F.L. Dryer

1965 ◽  
Vol 10 (1) ◽  
pp. 805-815 ◽  
Author(s):  
John H. Lee ◽  
Benedict H.K. Lee ◽  
Isaac Shanfield

2013 ◽  
Vol 135 (12) ◽  
Author(s):  
Prasanna R. Redapangu ◽  
Kirti Chandra Sahu ◽  
S. P. Vanka

A three-dimensional (3D), multiphase lattice Boltzmann approach is used to study a pressure-driven displacement flow of two immiscible liquids of different densities and viscosities in a square duct. A three-dimensional, 15-velocity (D3Q15) lattice model is used. The effects of channel inclination, viscosity, and density contrasts are investigated. The contours of the density and the average viscosity profiles in different planes are plotted and compared with those obtained in a two-dimensional (2D) channel. We demonstrate that the flow dynamics in a 3D channel is quite different as compared to that of a 2D channel. We found that the flow is relatively more coherent in a 3D channel than that in a 2D channel. A new screw-type instability is seen in the 3D channel that cannot be observed in the 2D channel.


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