Transport-controlled reaction rates under local non-equilibrium conditions

Chemical reactions are driven by non-equilibrium and can be fully described by the spatio-temporal distribution of the reaction rate. We present an analytical approach for the computation of reaction rates under local non-equilibrium conditions for a precipitation/dissolution problem. We derive an original non-linear partial differential equation for the reaction rate r and present a series expansion of r for large Damkohler numbers, i.e., fast local scale reactions. The impact of local scale non-equilibrium conditions on the transport-controlled reaction rate is studied for reactive transport in a column.