A heat transfer analogy for diffusion and first-order chemical reaction in a catalyst pore

AIChE Journal ◽  
1967 ◽  
Vol 13 (5) ◽  
pp. 1031-1033
Author(s):  
Robert W. Coughlin
Keyword(s):  
Heat Transfer ◽  
Chemical Reaction ◽  
First Order ◽  
Order Chemical Reaction ◽  
First Order Chemical Reaction

Semi-Analytical Solution of a Non-Linear Heat Transfer Model for a Tubular Co-Current Moving-Bed Reactor with a First-Order Chemical Reaction in the Solid Phase

2021 ◽  
Author(s):  
Lucas Ivan de Souza Vereza Medeiros ◽  
Sávio Leandro Bertoli ◽  
Marcel Jefferson Gonçalves ◽  
Tuany Gabriela Hoffmann ◽  
Betina Louise Angioletti ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Chemical Reaction ◽  
Solid Phase ◽  
Transfer Model ◽  
Moving Bed ◽  
First Order ◽  
Order Chemical Reaction ◽  
Non Linear ◽  
Linear Problems ◽  
First Order Chemical Reaction

Abstract The development of mathematical models plays a fundamental role in the design, optimization and control of processes. Regarding heat transfer in moving bed reactors, the chemical reaction implies in the inclusion of a non-homogeneous and non-linear term in model equations, making the analytical integration a very difficult task. Up to date, there is not an analytic and/or a semi-analytic solution to a heat transfer model of a moving bed reactor (MBR) with isothermal walls to distributed parameter in the solid phase. Therefore, starting from analytical solutions of the associated homogeneous (linear) problems and through the spectral expansion of the non-homogeneous vector, this work presents strategies for determining semi-analytical solutions of non-homogeneous and non-linear problems. A MBR with a first-order chemical reaction in the solid phase - kaolinite dehydroxylation in the kaolinite flash calcination process - is selected as the case study; however, the strategies can easily be applied to other non-linear models. Results for conversion, and fluid and particle temperatures, are given for different parameter values. The solutions perform stable, fast and accurate. When compared with a hybrid Finite Difference and Finite Analytic (FD\&FA) numerical method, the solution showed a very good agreement.

Interfacial mass transfer in turbulent flow accompanied by irreversible first order chemical reaction

1979 ◽  
Vol 44 (5) ◽  
pp. 1388-1396
Author(s):  
Václav Kolář ◽  
Zdeněk Brož
Keyword(s):  
Mass Transfer ◽  
Turbulent Flow ◽  
Chemical Reaction ◽  
Experimental Results ◽  
Theoretical Concepts ◽  
First Order ◽  
Order Chemical Reaction ◽  
Interfacial Mass Transfer ◽  
First Order Chemical Reaction

Relations describing the mass transfer accompanied by an irreversible first order chemical reaction are derived, based on the formerly published general theoretical concepts of interfacial mass transfer. These relations are compared with experimental results taken from literature.

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