By N. Wakao, S. Kaguei
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Additional resources for Heat And Mass Transfer In Packed Beds (Topics in Chemical Engineering, Volume 1)
1 7 ) and ( 1 . 1 8), (ii) Eqs. ( 1 . 1 8 ) and ( 1 . 1 9), and (iii) Eqs. ( 1 . 20). Compared with the values of f and N0 obtained in (i) and (ii), the data determined in (iii) are entirely inconsistent and erroneous. STIMATION 2 1 imaginary. 3( d), have large errors. 4 s- 1 are slightly s-dependent� and they decrease at higher s values. The N0 values obtained in (i) and (ii) are, as shown in Figure 1 . 5 , highly s-depend ent. First, they increase with an increase in s, and then decrease after reaching maximum values.
37 5. D v and De is shown in Figure 1 . 1 9 . For example, the values of these two parameters within the shaded part of the figure show that C��Ic(t) differs from C��pt(t) by a root-mean-square-error, e, defined by Eq. 025. The region with the least error may be visualized as a valley in a three-dimensional error map. The valley expands with an increase in De. The graph indicates that simultaneous determination of the two parameters De and Dax is not feasible. 025. _. J 0 10 20 30 FIGURE 1 . 1 - M!
II sm bn =- Ccalc - dt. 44) 2r ' 0 From Eqs. 41a). 45) r The Fourier coefficients in Eq. ( 1 4 2 ) are evaluated, therefore, with the measured input signal and the t ransfer function. Similarly, the response signal measured is also expressed as: . 1 nrrt . rr n t a6 C��pt(t) = -2 + L \a � cos- + b� smoo n= I T . 46a) and * _ 1 bn -T 2r I 0 u . rr n t Cexpt sm -dt. 46b) The root-mean-square-error between C��pt and C��tc over the entire region is then evaluated by Eq. 47) or Eq. 48). 48) Note that as far as the tracer imposed is not dispersed in the column (inert or reversible adsorption system), a6 = ai; .