J. Crank's scientific contributions

Publication (1)

Article
This paper contains the results of some calculations on a diffusion process in which a limited number of diffusing molecules are rapidly and permanently withdrawn by some means and prevented from diffusing further. The factors controlling the joint process are the diffusion coefficient, the total amount of diffusing substance, the shape and size of...

Citations

... In the present work we focus on diffusioncontrolled adsorption processes and propose to revive a model that takes into account the influence of adsorption on solute transport in the adsorbent. This model was first proposed in the seminal work by Crank (Crank, 1957(Crank, , 1975. When applied to sorbent spherical beads, it is an example of the well-known so-called "shrinking unreacted core" model (Yagi and Kunii, 1961;Ruthven, 1984;Levenspiel, 1999;Leyva-Ramos et al., 2010, 2012 in which adsorption of the diffusing solute progressively builds up an ash shell of reacted material at the periphery of the bead and leaves an unreacted core at the centre, that shrinks in the course of time. ...