Heat Transfer in a Packed-Bed Elliptic Cylindrical Reactor: Theory, Heterogeneous Transient Modeling, and Applications

This chapter focuses on the study of heat transfer in packed-bed elliptic cylindrical reactor. Based on the local thermal non-equilibrium, a heterogeneous mathematical model was developed. The transient model is composed for one solid phase and another fluid phase, in which the balance equation for each constituent, written in elliptic cylindrical coordinates, is applied separately, and the proposed model includes different phenomena such as geometry of the particles and reactor, bed porosity, fluid velocity, conduction, and convection heat transfer between the solid particles and fluid flowing inside the bed, and heat generations in the involved phases. Application has been done to a specific geometry of the reactor with aspect ratio 2.