Mass Transfer Effects: Immobilized and Heterogeneous Reaction Systems - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 883

TABLE 17.4 Numerical Solutions of the Effectiveness Factor as a Function of Thiele Modulus f
and Saturation Coefficient K b for a Spherical ParticledCont'd

f\ K b N 100 10 1 0.5 0.1 0.01 0.001

0.325 0.941865 0.942175 0.944801 0.961233 0.970323 0.988994 0.998532 0.999845

0.35 0.933452 0.933796 0.936709 0.955091 0.965390 0.986937 0.998234 0.999813

0.375 0.924654 0.925030 0.928221 0.948518 0.960039 0.984618 0.997888 0.999776

0.4 0.915511 0.915917 0.919372 0.941525 0.954262 0.982003 0.997481 0.999732

0.43 0.904137 0.904579 0.908328 0.932594 0.946759 0.978419 0.996893 0.999667

0.46 0.892389 0.892861 0.896878 0.923098 0.938626 0.974266 0.996157 0.999584

0.49 0.880328 0.880828 0.885081 0.913064 0.929858 0.969440 0.995207 0.999474

0.52 0.868016 0.868539 0.872997 0.902525 0.920459 0.963811 0.993924 0.999316

0.55 0.855510 0.856053 0.860682 0.891520 0.910440 0.957224 0.992053 0.999057

0.5773503 0.843985 0.844542 0.849298 0.881115 0.900781 0.950236 0.989282 0.998457

0.6 0.834378 0.834945 0.839786 0.872256 0.892420 0.943638 0.985152 0.994165

0.65 0.813076 0.813658 0.818621 0.852034 0.872890 0.926155 0.966071 0.973093

0.7 0.791796 0.792382 0.797390 0.831095 0.852090 0.904634 0.939551 0.945454

0.75 0.770698 0.771281 0.776264 0.809691 0.830329 0.879998 0.910216 0.915300

0.8 0.749912 0.750486 0.755388 0.788067 0.807955 0.853701 0.880080 0.884520

0.85 0.729543 0.730103 0.734879 0.766453 0.785319 0.826924 0.850189 0.854108

0.9 0.709671 0.710213 0.714830 0.745048 0.762740 0.800411 0.821107 0.824595

0.95 0.690355 0.690876 0.695311 0.724019 0.740480 0.774586 0.793131 0.796257

1 0.671636 0.672135 0.676373 0.703495 0.718738 0.749683 0.766403 0.769222

1.25 0.587552 0.587935 0.591165 0.610819 0.621116 0.641131 0.651821 0.653623

1.5 0.518683 0.518971 0.521385 0.535646 0.542907 0.556878 0.564307 0.565559

1.75 0.462617 0.462836 0.464669 0.475347 0.480724 0.491026 0.496489 0.497410

2 0.416673 0.416844 0.418272 0.426533 0.430673 0.438582 0.442769 0.443474

2.25 0.378602 0.378739 0.379879 0.386452 0.389737 0.396000 0.399310 0.399868

2.5 0.346667 0.346778 0.347709 0.353061 0.355730 0.360812 0.363495 0.363947

2.75 0.319559 0.319652 0.320425 0.324867 0.327078 0.331284 0.333502 0.333876

3 0.296296 0.296375 0.297027 0.300772 0.302634 0.306172 0.308037 0.308351

3.25 0.276134 0.276201 0.276759 0.279958 0.281548 0.284565 0.286155 0.286423

3.5 0.258503 0.258561 0.259044 0.261809 0.263181 0.265785 0.267157 0.267388

3.75 0.242963 0.243014 0.243435 0.245848 0.247045 0.249316 0.250510 0.250712

( Continued )