Mass Transfer Effects: Immobilized and Heterogeneous Reaction Systems - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 878

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

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

0.01 0.999967 0.999969 0.999975 0.999980 0.999985 0.999995 0.999999 1.000000 1.000000

0.0125 0.999948 0.999951 0.999961 0.999968 0.999977 0.999992 0.999999 1.000000 1.000000

0.015 0.999925 0.999930 0.999943 0.999954 0.999966 0.999989 0.999999 1.000000 1.000000

0.0175 0.999898 0.999904 0.999923 0.999937 0.999954 0.999984 0.999998 1.000000 1.000000

0.02 0.999867 0.999875 0.999899 0.999918 0.999940 0.999980 0.999997 1.000000 1.000000

0.0225 0.999831 0.999842 0.999872 0.999896 0.999924 0.999974 0.999997 1.000000 1.000000

0.025 0.999792 0.999805 0.999842 0.999872 0.999906 0.999968 0.999996 1.000000 1.000000

0.0275 0.999748 0.999764 0.999809 0.999845 0.999886 0.999962 0.999995 0.999999 1.000000

0.03 0.999700 0.999719 0.999773 0.999816 0.999865 0.999954 0.999994 0.999999 1.000000

0.0325 0.999648 0.999670 0.999734 0.999784 0.999841 0.999946 0.999993 0.999999 1.000000

0.035 0.999592 0.999617 0.999691 0.999749 0.999816 0.999938 0.999992 0.999999 1.000000

0.0375 0.999532 0.999561 0.999646 0.999712 0.999789 0.999929 0.999991 0.999999 1.000000

0.04 0.999467 0.999500 0.999597 0.999673 0.999760 0.999919 0.999990 0.999999 1.000000

0.045 0.999326 0.999367 0.999490 0.999586 0.999696 0.999897 0.999987 0.999999 1.000000

0.05 0.999167 0.999219 0.999370 0.999489 0.999624 0.999873 0.999984 0.999998 1.000000

0.055 0.998993 0.999055 0.999238 0.999381 0.999545 0.999846 0.999981 0.999998 1.000000

0.06 0.998802 0.998876 0.999093 0.999264 0.999459 0.999817 0.999977 0.999998 1.000000

0.065 0.998594 0.998681 0.998936 0.999136 0.999365 0.999785 0.999973 0.999997 1.000000

0.07 0.998370 0.998470 0.998766 0.998998 0.999263 0.999751 0.999969 0.999997 1.000000

0.08 0.997872 0.998003 0.998388 0.998691 0.999037 0.999674 0.999959 0.999996 1.000000

0.09 0.997309 0.997474 0.997961 0.998343 0.998781 0.999588 0.999948 0.999995 0.999999

0.1 0.996680 0.996884 0.997483 0.997954 0.998495 0.999490 0.999936 0.999993 0.999999

0.125 0.994824 0.995140 0.996070 0.996804 0.997646 0.999201 0.999899 0.999990 0.999999

0.15 0.992567 0.993018 0.994347 0.995397 0.996606 0.998845 0.999854 0.999985 0.999998

0.175 0.989915 0.990523 0.992315 0.993735 0.995374 0.998421 0.999801 0.999979 0.999998

0.2 0.986876 0.987661 0.989978 0.991818 0.993948 0.997927 0.999738 0.999973 0.999997

0.225 0.983460 0.984438 0.987336 0.989645 0.992326 0.997361 0.999665 0.999965 0.999996

0.25 0.979674 0.980864 0.984394 0.987217 0.990506 0.996720 0.999583 0.999956 0.999996

0.275 0.975531 0.976946 0.981156 0.984535 0.988486 0.996002 0.999490 0.999947 0.999995

0.3 0.971042 0.972693 0.977624 0.981598 0.986263 0.995203 0.999386 0.999936 0.999994

( Continued )