In liquid–solid adsorption,
fluid film diffusion is typically
faster than intraparticle diffusion, especially for microporous adsorbents.
However, fluid film diffusion might play a significant role in the
overall rate of the process for mesoporous–macroporous and
non-porous solids. In most adsorption modeling studies, the fluid
film diffusion step is typically ignored, which is not always justified.
This article critically discusses the theory behind the liquid–solid
mass-transfer coefficient in stirred vessels and presents the dissolution
and adsorption methods adopted for estimating its value. Then, starting
from the definition of the Biot number, an original analysis is developed
with reference to selected studies. Surface versus pore diffusion
of the adsorbate in the adsorbent is taken into account, and external
versus internal mass-transfer resistance is considered to put the
fluid film resistance back in the picture when needed. Iso-Biot charts
where the operating points can be visualized are presented as well.