The effect of turbulence on the heterogeneous (solid-fluid) reactions of
solid particles is studied numerically with Direct Numerical Simulations (DNS).
A simplified reaction system is used, where the solid-fluid reaction is
represented by a single isothermal reaction step. It is found that, due to the
clustering of particles by the isotropic turbulence, the overall reaction rate
is entirely controlled by the turbulence for large Damk\"ohler numbers. The
particle clustering significantly slows down the reaction rate for increasing
Damk\"ohler numbers which reaches an asymptotic limit that can be analytically
derived. This implies that the effect of turbulence on heterogeneously reacting
particles should be included in models that are used in CFD simulations of e.g.
char burnout in combustors or gasifiers. Such a model, based on the chemical
and turbulent time scales, is here proposed for the heterogeneous reaction rate
in the presence of turbulence.Comment: Published online in the Proceedings of the Combustion Institut