This dissertation studies a problem that combines mass transfer of an active chemical species through the surface of a solid sphere located in an axially symmetric, incompressible slow flow and a fast reaction outside the sphere. The solute from the interior of the sphere diffuses through the sphere's surface and enters the liquid. Due to the presence of a fast reaction, the problem contains a small parameter which makes the problem singularly perturbed. The asymptotic approximation of the solution is derived using the Boundary Function method. |