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Exact solution for diffusion to flow down an incline
Author(s) -
Rotem Zeev,
Neilson John E.
Publication year - 1969
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450470407
Subject(s) - diffusion , flow (mathematics) , plane (geometry) , mechanics , range (aeronautics) , diffusion equation , materials science , thermodynamics , mathematics , statistical physics , physics , geometry , engineering , composite material , metric (unit) , operations management
The concentration of solute in a film flowing down an inclined plane has been obtained by solving the complete diffusion equation, including the diffusion effect in the direction of flow. The formulation leads to the necessity of solving non‐orthogonal characteristic value problem, treatment of which is, however, quite straightforward. Though the motivation for the study was the diffusion of oxygen to plasma or blood films, solutions are presented for the complete range of fluid properties, due to the great significance of this mode of flow for wider application in chemical engineering.