Diffusion and trapping in a suspension of spheres with simultaneous reaction in the continuous phase

A method was proposed for computing the surface and continuous phase reaction rates and effective overall reaction rate for Brownian particles. The method is based on a first-passage approach, which is extended to take the continuous phase reaction into account. The diffusion path is divided into a series of first-passage regions and is considered the probability of the particle being consumed in each of these regions. It is observed that the extended method is accurate for consumption of reactant in the continuous phase.