Page 268 - Biomass Gasification, Pyrolysis And Torrefaction Practical Design and Theory
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244                          Biomass Gasification, Pyrolysis and Torrefaction


               Char gasification, the next critical step, may be assumed to move simulta-
            neously through reactions R1, R2, and R3 (Table 7.2). As these three reac-
            tions occur simultaneously on the char particle, reducing its mass, the overall
            rate is given as:

                            m char 5 m Boudouard 1 m steam 1 m methanation  (7.84)
               The conversion of the porous char particle may be modeled assuming
            that the process follows shrinking particle (diminishing size), shrinking core
            (diminishing size of the unreacted core), or progressive conversion (dimin-
            ishing density). The shift reaction is the most important homogenous reaction
            followed by steam reforming. The bed materials may catalyze the homoge-
            neous reactions, but only in the emulsion phase, because the bubble phase is
            assumed to be free of solids.



            7.6.3 Entrained-Flow Gasifiers

            Extensive work on the modeling of entrained-flow gasifiers is available in
            the literature. CFD has been successfully applied to this gasifier type. This
            section presents a simplified approach to entrained-flow gasification follow-
            ing the work of Vamvuka et al. (1995).
               The reactor is considered to be a steady-state, one-dimensional plug-flow
            reactor in the axial direction and well mixed radially—similar to that shown
            in Figure 7.11. Fuel particles shrink as they are gasified. Five gas solid
            reactions (R1 R5 in Table 7.2) can potentially take place on the char parti-
            cle surface. The reduction in the mass of char particles is the sum of these
            individual reactions, so if there are N c char particles in the unit gas volume,
            the total reduction, W c , in the plug flow is as shown in the equation that fol-
            lows the figure.
                                               5
                                              X
                               dW c 52 ðN c A dzÞ  r k ðT s ; L r Þ   (7.85)
                                              k51



                                     T a      T w
                               W s,L ,T s,L        W s,L+dL,




                               F g,L ,T g,L        F g,L+dL,


                                           dL
            FIGURE 7.11 One-dimensional entrained-flow model.
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