Diffusion and reversible reaction in a sphere: a numerical study using IMN approximants

✍ Scribed by Yun-Tai Wu; Vladimir Zakian; David J. Graves

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 896 KB
• Volume: 31
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(76)85050-6

✦ Synopsis

Abstrati-Transient diffusion in a sphere, where reversible adsorption reaction takes place, was studied by a method of inverting Laplace transforms based on I HN approximants. The simplicity, speed, and reliability of this method make it especially suitable for numerical analysis of linear partial differential equations governing such processes as diffusion.

Results show that in certain types of diffusion-adsorption processes, it may take a long time for equilibrium to be reached. The diffusive mass flux initially behaves as though there were no reaction taking place. This behavior is followed by a period where both reaction and diffusion determine the value of the flux and in fact the flux is almost constant during this period. After this follows a period during which the reaction appears to be very much faster than diffusion and therefore is essentially at equilibrium at any point within the sphere.