I. Tiselj et B. Mavko, HYDROGEN COMBUSTION DESCRIBED WITH INCOMPRESSIBLE-FLUID APPROXIMATION, Zeitschrift fur angewandte Mathematik und Mechanik, 73(6), 1993, pp. 619-623
Burning of small hydrogen concentration in air is a slow process with
spatially uniform pressure. Thus it can be modelled with methods adopt
ed from incompressible flow. Burning in a cylindrical vessel is descri
bed by the full Navier-Stokes (N - S) system of differential equations
, where the pressure field is decomposed into a steady part, equalized
throughout the vessel, and the dynamic part, which is only taken into
account in the equation of motion. Chemical kinetics of the reaction
is described by a single activation term. Turbulence is introduced in
the Prandtl mixing-length approximation. Numerical algorithm basis on
the standard MAC (Marker and Cell, [2]) method: staggered grid is used
, the Poisson equation for the dynamic pressure is solved and the full
y explicit scheme is adopted for the other variables. Results of the t
wo-dimensional model are compared with the results of an explicit sche
me for the compressible fluid flow and with the experimental data.