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Numerical simulation of detonation failure and re-initiation in bifurcated tubes

Explore the numerical simulation of detonation failure and re-initiation in bifurcated tubes using Monotone Integrated Large Eddy Simulation (MILES) methodology. The study involves deflagration, detonation, and DDT, along with equations, reactions, and modeling approach. The code development, testing, detonation simulation, and results in various speed and pressure conditions are detailed, showcasing good agreement with experiments. Learn about the structures of detonation fronts and the intricacies of boundary and initial conditions for accurate simulations.

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Numerical simulation of detonation failure and re-initiation in bifurcated tubes

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  1. Numerical simulation of detonation failure and re-initiation in bifurcated tubes Centre for Fire and Explosion Studies School of Mechanical and Automotive Engineering, Kingston University London A. Heidari and J.X. Wen Centre for Fire and Explosion Studies

  2. Detonationpropagation in bifurcated tubes

  3. Outline • Introduction • Deflagration, Detonation and DDT • Equations, Reaction and Modelling approach • Code development and testing • Detonation simulation • Summery

  4. Combustion waves low speed High speed Deflagrations Detonations Laminar flames Turbulent flames DDT Detonations U 3 m/s 800 m/s 2000 m/s P 0.1 atm 5 atm 20 atm Diffusion of mass and energy Auto-ignition due to shock heating

  5. Governing equations & Numerical modelling Multidimensional, time-dependent, compressible reactive Navier–Stokes equations Modelled: • chemical reactions • molecular diffusion • thermal conduction • viscosity

  6. Turbulence & Numerical modelling • Monotone Integrated Large Eddy Simulation (MILES) “monotone schemes have an inherent truncation error that acts as a numerical diffusion, which can emulate the effects of physical viscosity” • Discretization: Gaussian finite volume integration • Time derivatives: Crank-Nicholson • Van Leer (TVD) scheme for shock capturing

  7. Grid independency test

  8. Testing the solver for Detonation and Deflagration waves

  9. Structure of detonation front

  10. Boundary and initial conditions • Smallest grid size: 10 micron, structured (AMR) • 20 grid points across the detonation half reaction length • Boundary conditions: no-slip reflecting boundaries • Fuel: Hydrogen-Oxygen-diluent mixture • Ignition: a region of high temperature and pressure (T= 2500 K, p= 15 atm) • Single step reactions, 16 kPa, 300 K initial

  11. Detonation propagation in a bifurcated tube

  12. Detonation propagation in a bifurcated tube C. J. WANG, S. L. XU AND C. M. GUO, “Study on gaseous detonation propagation in a bifurcated tube”, Journal of Fluid Mechanics (2008), 599: 81-110

  13. Detonation failure due to shock diffraction

  14. Detonation re-initiation

  15. Detonation propagation in a bifurcated section

  16. Summery A solver for simulation deflagration, flame acceleration and detonation is developed and validated. Monotone Integrated Large Eddy Simulation (MILES) is used Structured mesh and Adaptive Mesh Refinement is used to increase the efficiency and reduce the computational cost. Good agreement with experiments and other numerical works is achieved. Detonation failure due to wave diffraction and subsequent detonation re-initiation is simulated and compared against the experimental observation of Wang et. al.

  17. Thank you

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