10

Consider a collection of n spherical inclusions (radius a) with solute transport properties Di, Ki and , embedded within a spherical region (radius R) filled mostly with another material with properties Do, Ko and do (wherever there is not an inclusion). Explain how to estimate the effective diffusivity (write a recipe) (10%). (Problem 9: If you write the mathematical form of the solution, you will get 25% additional points)Consider a collection of n spherical inclusions (radius a) with solute transport properties Di, Ki and , embedded within a spherical region (radius R) filled mostly with another material with properties Do, Ko and do (wherever there is not an inclusion). Explain how to estimate the effective diffusivity (write a recipe) (10%). (Problem 9: If you write the mathematical form of the solution, you will get 25% additional points)