MATHEMATICAL MODELING OF FILTRATION COMBUSTION WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY AND DIFFUSION COEFFICIENT IN A WET POROUS MEDIUM

Abstract

ABSTRACT This thesis investigated the effect of temperature dependent thermal conductivity and diffusion coefficient on the filtration combustion in a wet porous medium. The model which relies on several assumptions and based on the conservation of total mass, chemical species and energy written in transient state mode of operation which governed the phenomenon is presented. The existence of unique solution of the problem was examined by actual solution method. The properties of solution were investigated. The coupled nonlinear governing equations were solved simultaneously for the temperature and concentration field analytically via parameter expanding method, direct integration and eigenfunction expansion technique. The influence of dimensionless parameter such as scaled thermal conductivity , species diffusion coefficient , Frank kamenetskii parameter peclet mass number on the filtration combustion was investigated. He thesis established that the maximum temperature is attained when =0.5 for fixed time t. Simulation results also revealed that high temperature front created by combustion; the oxygen molar fraction, vapor molar fraction, passive gas molar fraction, molar concentration of the solid fuel and molar concentration of liquid depend appreciably on the values of the parameters involved.