Author(s):
1. Oludare Adedire:
Department of Mathematics, University of Jos, Nigeria
2. J.N. Ndam:
Federal College of Forestry Jos, Plateau State, Nigeria
Abstract:
A mathematical model for investigating the spatio-temporal patterns of temperature and concentration profiles of chemical species moving through a no isothermal multiple-compartment system is derived. The no isothermal system which consists of adjacent compartments whose partitions allow endothermic reaction is considered with the requirement that energy has to be supplied at an elevated temperature to trigger reaction rate of the reacting chemical species. Particularly, this research used process parameters for pyrolysis of propane commonly used in the production of ethylene which is an important industrial gas. The derived mathematical model - based on distributed parameter approach and unidirectional transport of chemical species-consists of a system of coupled Partial Differential Equations (PDEs) which are discretised spatially using the Method of Lines (MOL) technique and the resulting semi-discrete system in one independent variable t is solved using MATLAB ode15s solver which has been known to be well optimised for solutions of such problems. The results showed that as the reacting chemical species moved spatially through the interconnected no isothermal system, there is decrease in temperature profile as a result of significant conversion due to chemical process of the species being transported thereby causing decrease in temperature at some time t. However, temperature begins to rise due to constant wall temperature until a steady state is attained when significant conversion of reacting species in chemical reaction has been accomplished. Also, a reduction in concentration profile due to consumption in reaction of chemical species is observed as the spatial distance covered by the chemical species increases.
Page(s):
1242-1258
DOI:
DOI not available
Published:
Journal: Journal of Natural & Applied Sciences Pakistan, Volume: 5, Issue: 1, Year: 2023
Keywords:
concentration
,
Model
,
temperature
,
Nonisothermal
,
Mathematical
,
MultipleCompartment
References:
References are not available for this document.
Citations
Citations are not available for this document.