Research Article
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors
Table 6
Comparison of our effectiveness factors ((
19), (
24), and (
29)), and Villa et al. [
1] when
.
| Cases | | | Effectiveness factors () |
Villa et al. [1] | Our results |
| Case 1 | 2.5 | 0.5 | 1.3195 | 1.2526 | 2 | 0.4 | 1.2294 | 1.1952 | 1 | 0.2 | 1.0961 | 1.0903 | 0.5 | 0.1 | 1.0446 | 1.0434 | 0.25 | 0.05 | 1.0215 | 1.0213 | −2.5 | −0.5 | 0.8142 | 0.8280 | −5 | −0.5 | 0.7461 | 0.7157 | −7.5 | −0.5 | 0.6797 | 0.6360 | −4 | −0.2 | 0.7827 | 0.7592 | −5 | −0.2 | 0.7493 | 0.7193 | Case 2 | 2.0 | 0.4 | 1.0820 | 1.0603 | 1.01 | 0.2 | 0.9940 | 0.9890 | 0.5 | 0.1 | 0.9572 | 0.9564 | 0.25 | 0.05 | 0.9403 | 0.9401 | 0.1 | 0.02 | 0.9306 | 0.9305 | 0.01 | 0.002 | 0.9249 | 0.9249 | 0.001 | 0.0002 | 0.9243 | 0.9242 | −0.3 | −0.5 | 0.9059 | 0.9057 | −0.5 | −0.5 | 0.8944 | 0.8937 | −1.0 | −0.5 | 0.8676 | 0.8653 | −1.5 | −0.2 | 0.8435 | 0.8389 | −2.0 | −0.2 | 0.8214 | 0.8142 | Case 3 | 1.99 | 0.4 | 0.9991 | 0.9678 | 1.0 | 0.2 | 0.9793 | 0.9168 | 0.5 | 0.1 | 0.9699 | 0.8910 | 0.25 | 0.05 | 0.9653 | 0.8783 | 0.1 | 0.02 | 0.9626 | 0.8708 | 0.01 | 0.002 | 0.9609 | 0.8663 | 0.001 | 0.0002 | 0.9608 | 0.8658 |
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