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| Titel: |
AN ASYMPTOTIC SOLUTION OF THE NONISOTHERMAL CATALYST PELLET PROBLEM FOR LARGE REACTION RATES AND LARGE ACTIVATION ENERGIES |
| Auteur: |
Ha, Khanh-Dan Hanna, Owen T. |
| Verschenen in: |
Chemical engineering communications |
| Paginering: | Jaargang 4 (1980) nr. 1-3 pagina's 1-14 |
| Jaar: |
1980 |
| Inhoud: |
The problem of diffusion and chemical reaction in a non-isothermal catalyst pellet is considered for the case of essentially complete reaction (large Thiele modulus). Limiting solutions which are uniformly valid for either large activation energy or small heat of reaction are given, for both endothermic and exothermic reactions. The analytical solutions, which have a very simple form, apply to arbitrary pellet geometries, arbitrary reaction kinetics and external transport resistance. The results could also be applied to more complicated situations involving variable properties, pre-exponential temperature dependence and volume-change due to reaction. Extensive comparison with numerical solutions indicates extremely good agreement, not only for large activation energies but over the entire ranges 0 < β <.5 and 5 < γ < 40 for both first and second order kinetics. For sixty numerical comparisons of limiting effectiveness factors, the maximum error was 1.8%; in only two of these cases did the error exceed 1%. Comparison is also made with results due to Petersen which are based on a linearization of the Arrhenius expression. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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