The continuous limit of a general random walk gives rise to the stochastic or Kolmogorov diffusion form of an axial dispersion model for tubular flow reactors. The resultant eauation is different from the Kolmogorov diffusion equations available in the literature, in that it includes a berm to accou
Axial dispersion in coiled tubular reactors
โ Scribed by Denys F Leclerc; Peter A Bloxham; E.Clifford Toren Jr.
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 896 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0003-2670
No coin nor oath required. For personal study only.
โฆ Synopsis
A theoretical and experimental treatment of axial dispersion in coiled tubes is presented. The dispersion, 6, is related to the theoretical plate height divided by four times the radius of the tube (H/4r). This parameter, when plotted against the product of the Reynolds number and the Schmidt number (ReSc), accurately predicts maxima in dispersion curves. Variations in the boundary layer thickness and the velocity profile cause the dispersion to pass through a maximum at a constant value of log (De2Sc*'14) equal to 6.13 for unretained solutes (De is the Dean number). A new measure of dispersion is proposed; the reduced dispersion, E = 256/(Re o.66'Sc), is derived from the experimental behavior of dispersion at values of log (DezSc1'14) smaller than 6.13. The logarithm of E is found to be approximately zero for 2.2 < log (De*Sc 1*14) < 6.1 and to decrease linearly with log (DezSc*'14) at higher values. Experiments with four solutes that have a wide range of molecular diffusivities are reported. Results agree with theory.
๐ SIMILAR VOLUMES
Shorter Corn] munications more than one rate controlling step exists should be particularly useful. This concept, originated by Horiuti [4,5], has been extended to include rate controlling paths by Happel[6]. A recent study [7] employed 14C as a tracer to demonstrate the applicability of a reaction
## Abstrac -For a fixed set of physlco-chemlcal parameters, an Isothermal substrate-mhlblted enzyme reactton in a tubular reactor with axed dlsperslon can pve nse to multrple steady states Cntena previously developed for non-isothermal reactions are apphed to this case to develop analytic condltlo
Using boundary conditions more general than those due to Danckwerts, the authors recently showed that significant variations may be encountered in the global stability characteristics of an axially dispersed adiabatic tubular reactor. The numerical results presented in this communication demonstrate
Numerical solutions are presented for differential equations representing the isothermal steady flow tubular reactors with varied degrees of backmixing of the reactants in the axial direction and with reactions with order other than zero and first. RBsum4-Les auteurs pr&entent des solutions nunkique