Flow through a porous medium is widely encountered in various industries and scientific applications. In these
cases, due to the porosity of the catalytic bed, the superficial velocity along the radial direction of the bed is often assumed to be uniform, i.e. ideal plug flow. Relations of pressure drop and flow rate would then depend on the porosity and permeability of the bed, e.g. the Darcy's equation. In this assignment, governing equations for flow through a porous bed of spherical catalyst particles will be developed. Particularly, we are interested in the relationship between the temperature of the packed bed as a function of the heat of reaction and the effective thermal conductivity.