Abstract
For the first time a mathematical modelling of porous catalyst particles subject to both internal mass concentration gradients as well as temperature gradients, in endothermic or exothermic reactions has been reported. This model contains a non-linear mass balance equation which is related to rate expression. This paper presents an approximate analytical method (Modified Adomian decomposition method) to solve the non-linear differential equations for chemical kinetics with diffusion effects. A simple and closed form of expressions pertaining to substrate concentration and utilization factor is presented for all value of diffusion parameters. These analytical results are compared with numerical results and found to be in good agreement.
Highlights
In many engineering and industrial applications, catalytic processes in chemical reactors are often considered to be very useful
Majority of chemical reactions are accompanied by heat transfer effects; they either release or absorb
Since chemical reaction rates vary rapidly increase with temperature, this effect could radically change the behavior of the catalyst particles
Summary
In many engineering and industrial applications, catalytic processes in chemical reactors are often considered to be very useful. (2016) The Approximate Analytical Solution of Non-Linear Equation for Simultaneous Internal Mass and Heat Diffusion Effects. This can lead to appreciable increase (or decrease) of temperature toward the particle centre [5]-[7]. Since chemical reaction rates vary rapidly increase with temperature, this effect could radically change the behavior of the catalyst particles. When the chemical reaction is accompanied by a heat effect, a mass concentration gradient, and appreciable temperature gradients can exist within the particle. To the best of our knowledge, there was no rigorous analytical solution for the concentration of reactant of catalyst having been reported The purpose of this communication is to derive simple analytical expression for concentration and utilization factor for all possible values of reaction/diffusion parameters using the modified Adomian decomposition method
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
