Dissolution of a solid particle in a linear velocity field in the presence of chemical reactions

The growth or dissolution rate of a particle in a steady linear velocity field is investigated. The particle contains a pure composition of species $D$ and the outer liquid contains species $D$ and $L$ which undergo a reversible reaction. The governing equations are solved asymptotically in the limit of a small Reynolds number based on a particle length scale, with the Prandtle number of order one and a large Schmidt number. We explore the rate of growth or dissolution as a function of the particle curvature, Stefan number, Reynolds number and a scale for the concentration difference.