Application of Flow Graph Theory Approach for the Solution of Discrete Lumped Kinetic Equation in Hydrocracking of Heavy Oils

This report is the final manifestation of Final Year Project aimed to find the solution of discrete lumped kinetic equation in hydrocracking of heavy oils by using
flow graph theory approach. This report details the practicability of applying flow graph theory approach in finding the exact solution for kinetic equations of complex reaction systems such as discrete lumped model in heavy oils hydrocracking. Flow graph theory approach is a method that can be used to determine exact solution if first order linear differential equations through using Cramer's method of determinants. The kinetic model developed for the heavy oil hydrocracking process was based on wide range of true boiling point of the hydrocarbon and the reaction which involves reactant lump is also considered. A general exact solution of the discrete lumped model for hydrocracking of heavy oils is derived using flow graph approach and the final result is consistent with the reported solution available in the literature through Laplace transforms.