Thiele modulus zeroth

Figure 6.13 Effectiveness factor r versus Thiele modulus 8 of Equation 6.48 for zeroth-order kinetics in an infinitely long slab, an infinitely long cylinder and a sphere.

Table 6.6 Effectiveness factor tj as a function of the Thiele modulus 8 (given by Equation 6.48) for zeroth-order kinetics an infinite slab, an infinite cylinder and sphere...

From Equation 7.13 it then follows that the error <5 i0 does not depend on the catalyst geometry or a Thiele modulus like <5 J it only depends on the value of and the reaction kinetics. This is illustrated in Figure 7.3 where <5W is plotted versus for zeroth-, first- and second-order kinetics and for exothermic reactions ( > 0). The curves were obtained from the formulae given in Table 7.2, which were calculated with the aid of Equations 7.13 and 7.26. 

In Table 4.1, Iq and h are modified Bessel functions of zeroth and first-border. A few observations can be made from Table 4.1. The product of the Thiele modulus and the effectiveness factor ijm approaches unity, two, and three for slablike, cylindrical, and spherical pellets, respectively, as m approach infinity. On the other hand, the characteristic length L defined as the ratio of apparent pellet... 

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