Premium
Convective diffusion in a parallel plate duct with one catalytic wall — Laminar Flow — First order reaction part I — Analytical
Author(s) -
Gidaspow Dimitri
Publication year - 1967
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.5450450109
Subject(s) - laminar flow , nusselt number , thermodynamics , mechanics , isothermal process , chemistry , reaction rate constant , convection , duct (anatomy) , diffusion , materials science , physics , classical mechanics , reynolds number , kinetics , turbulence , medicine , pathology
CHARLES W. SOLBRIG The problem of convective diffusion with a first order reaction on one wall of a catalytic reactor is solved to implement the determination of rate constants from overall conversion measurements. The analysis applies to an isothermal gas mixture with constant physical properties and a parabolic velocity profile. A complete separation of variables, an entrance region, and a fully developed solution as well as asymptotic expressions for large eigenvalues are presented. A formula is given which expresses the Nusselt number as a function of the rate constants. These quantities combine as additive resistances to form an effective rate constant. By analogy, one could apply these results to a plate heat exchanger with a finite wall resistance.