Differentiated routes for the simulation of the consequences of explosions

The use of numerical modelling is a "natural" step in today's engineering work, even in safety. Up to a certain extent, solving more or less accurately the basic Navier-Stokes equations has replaced the traditional analytical approximate solutions of the same equations. Doing this, we surely have gained in flexibility, sometimes in accuracy, but we may have lost in expertise and ergonomics. In this paper, different modelling techniques are set in perspective for the specific case of explosions. It is the opinion of the authors that simple physical "modelling" is justified in areas where a consensus is required on "basic" approaches such as standards, that complex numerical modelling is particularly fruitful in research, and that some intermediate "phenomenological" modelling is possible and proves profitable for process safety. Examples of such tools are given and compared to existing data.

[1]  Rolf K. Eckhoff,et al.  Dust explosion experiments in a vented 236 m3 silo cell , 1987 .

[2]  Asghar Esmaeeli,et al.  An inverse energy cascade in two-dimensional low Reynolds number bubbly flows , 1996, Journal of Fluid Mechanics.

[3]  C. Proust,et al.  Contribution à l étude de l effet de l hétérogénéité d un prémélange gazeux sur la propagation d une flamme dans un tube clos , 2008 .

[4]  D. Bradley,et al.  Flame acceleration due to flame-induced instabilities in large-scale explosions , 2001 .

[5]  Rolf K. Eckhoff,et al.  Maize starch explosions in a 236 m3 experimental silo with vents in the silo wall , 1988 .

[6]  C. Peskin Numerical analysis of blood flow in the heart , 1977 .

[7]  John V. Valiulis,et al.  Improved guidelines for the sizing of vents in dust explosions , 1996 .

[8]  Gretar Tryggvason,et al.  A Front Tracking Method for the Motion of Premixed Flames , 1998 .

[9]  D. Bradley,et al.  The venting of gaseous explosions in spherical vessels. I—Theory , 1978 .

[10]  R. Aldredge,et al.  Flame acceleration associated with the Darrieus-Landau instability , 2001 .

[11]  G. Sivashinsky,et al.  Flame Front Propagation in Nonsteady Hydrodynamic Fields , 1988 .

[12]  A. D. Gosman,et al.  Proceedings of the fifth international conference on numerical methods in fluid dynamics: edited by A.I. Van de Vooren and P.J. Zanbergen, Springer-Verlag, 1976. $15.20 , 1978 .

[13]  H. Schneider,et al.  Determination of turbulent burning velocities of dust air mixtures with the open tube method , 2007 .

[14]  R. K. Eckhoff,et al.  Dust explosion experiments in a vented 500 m3 silo cell , 1984 .

[15]  C. Proust A few fundamental aspects about ignition and flame propagation in dust clouds , 2006 .

[16]  Rolf K. Eckhoff,et al.  Dust Explosions in the Process Industries , 1991 .

[17]  Francesco Tamanini,et al.  The role of turbulence in dust explosions , 1998 .

[18]  Elaine S. Oran,et al.  Numerical Simulation of Reactive Flow , 1987 .

[19]  R. V. Wheeler,et al.  CVIII.—The movement of flame in closed vessels , 1925 .

[20]  J. Driscoll,et al.  A numerical simulation of a vortex convected through a laminar premixed flame , 1992 .

[21]  P. S. Tonkin,et al.  DUST EXPLOSIONS IN A LARGE SCALE CYCLONE PLANT , 1972 .

[22]  Thomas Huld,et al.  An adaptive 3-D CFD solver for modeling explosions on large industrial environmental scales , 1999 .

[23]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[24]  P. Woodward,et al.  SLIC (Simple Line Interface Calculation) , 1976 .

[25]  W. Bartknecht,et al.  Pressure venting of dust explosions in large vessels , 1986 .

[26]  Kees van Wingerden,et al.  Gas explosion handbook , 1997 .

[27]  Ömer L. Gülder,et al.  Turbulent premixed flame propagation models for different combustion regimes , 1990 .

[28]  Michael A. Liberman,et al.  Dynamics and stability of premixed flames , 2000 .

[29]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .