Mass Transfer Effects: Immobilized and Heterogeneous Reaction Systems - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 879

TABLE 17.3 Numerical Solutions of the Effectiveness Factor as a Function of Thiele Modulus f
and Saturation Coefficient K b for a Slab GeometrydCont'd

f\ K b N 10 2 1 0.5 0.1 0.01 0.001 0.0001

0.325 0.966218 0.968117 0.973804 0.978407 0.983835 0.994319 0.999270 0.999924 0.999992

0.35 0.961072 0.963228 0.969701 0.974963 0.981199 0.993347 0.999141 0.999910 0.999991

0.375 0.955619 0.958036 0.965318 0.971267 0.978352 0.992281 0.998999 0.999895 0.999989

0.4 0.949872 0.952554 0.960663 0.967320 0.975290 0.991117 0.998841 0.999878 0.999988

0.43 0.942607 0.945609 0.954725 0.962254 0.971329 0.989581 0.998631 0.999856 0.999986

0.46 0.934965 0.938286 0.948413 0.956831 0.967049 0.987882 0.998395 0.999831 0.999983

0.49 0.926971 0.930607 0.941741 0.951055 0.962444 0.986008 0.998130 0.999803 0.999980

0.52 0.918653 0.922594 0.934720 0.944930 0.957509 0.983942 0.997831 0.999771 0.999977

0.55 0.910036 0.914273 0.927365 0.938462 0.952238 0.981667 0.997494 0.999735 0.999973

0.57735 0.901942 0.906437 0.920380 0.932270 0.947136 0.979395 0.997149 0.999697 0.999969

0.6 0.895081 0.899781 0.914403 0.926933 0.942693 0.977357 0.996832 0.999663 0.999966

0.65 0.879491 0.884605 0.900626 0.914501 0.932179 0.972298 0.996008 0.999572 0.999957

0.7 0.863381 0.868855 0.886112 0.901206 0.920683 0.966350 0.994966 0.999456 0.999945

0.75 0.846864 0.852638 0.870943 0.887100 0.908199 0.959340 0.993614 0.999301 0.999929

0.8 0.830044 0.836056 0.855205 0.872243 0.894734 0.951054 0.991799 0.999085 0.999907

0.85 0.813021 0.819207 0.838988 0.856706 0.880310 0.941235 0.989240 0.998761 0.999873

0.9 0.795885 0.802183 0.822382 0.840565 0.864965 0.929589 0.985371 0.998212 0.999815

0.95 0.778717 0.785068 0.805476 0.823909 0.848761 0.915808 0.978892 0.997009 0.999681

1 0.761592 0.767941 0.788359 0.806827 0.831777 0.899618 0.966528 0.991126 0.997888

1.25 0.678625 0.684325 0.702435 0.718440 0.739252 0.785859 0.799970 0.800000 0.800000

1.5 0.603430 0.607929 0.621711 0.633079 0.646287 0.665224 0.666667 0.666667 0.666667

1.75 0.537927 0.541192 0.550675 0.557753 0.564801 0.571283 0.571429 0.571429 0.571429

2 0.482012 0.484254 0.490369 0.494432 0.497852 0.499985 0.500000 0.500000 0.500000

2.25 0.434677 0.436160 0.439942 0.442164 0.443743 0.444443 0.444444 0.444444 0.444444

2.5 0.394644 0.395602 0.397878 0.399058 0.399769 0.400000 0.400000 0.400000 0.400000

2.75 0.360675 0.361282 0.362629 0.363244 0.363559 0.363636 0.363636 0.363636 0.363636

3 0.331684 0.332064 0.332851 0.333169 0.333307 0.333333 0.333333 0.333333 0.333333

3.25 0.306768 0.307004 0.307460 0.307623 0.307684 0.307692 0.307692 0.307692 0.307692

3.5 0.285193 0.285339 0.285602 0.285685 0.285711 0.285714 0.285714 0.285714 0.285714

3.75 0.266371 0.266461 0.266612 0.266654 0.266666 0.266667 0.266667 0.266667 0.266667

( Continued )