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238                          Biomass Gasification, Pyrolysis and Torrefaction


            7.5.2.6 Reactor Hydrodynamics
            The kinetic model considers the physical mixing process and therefore requires
            knowledge of reactor hydrodynamics. The hydrodynamics may be defined in
            terms of the following types with increasing sophistication and accuracy:
              Zero dimensional (stirred tank reactor)
              One dimensional (plug flow)
              Two dimensional
              Three dimensional
               Unlike other models, the kinetic model is sensitive to the gas solid con-
            tacting process involved in the gasifier. Based on this process, the model
            may be divided into three groups: (i) moving or fixed bed, (ii) fluidized bed,
            and (iii) entrained flow. Short descriptions of these are given in Section 7.6.

            7.5.2.7 Neural Network Models
            An alternative to the sophisticated modeling of a complex process, especially
            for one not well understood, is an ANN. An ANN model mimics the working
            of the human brain and provides some human characteristics in solving mod-
            els (Abdulsalam, 2005). It cannot produce an analytical solution, but it can
            give numerical results. This technique has been used with reasonable success
            to predict gas yield and composition from gasification of bagasse, cotton
            stem, pine sawdust, and poplar in fluidized beds (Guo et al., 1997); in MSW;
            and also in a fluidized bed (Xiao et al., 2009).
               The ANN model can deal with complex gasification problems. It uses a
            high-speed architecture of three hidden layers of neurons (Kalogirou, 2001):
            one to receive the input(s), one to process them, and one to deliver output(s).
            Figure 7.9 shows the arrangement of neuron layers and the connection pat-
            terns between them. Kalogirou (2001) suggested the following empirical for-
            mula to estimate the number of hidden neurons:
                                        1
                Number of hidden neurons 5 ðinputs 1 outputsÞ
                                        2
                                                                      (7.78)
                                          p ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
                                        1   number of training patterns








                         Input layer  Hidden layer   Output layer


            FIGURE 7.9 Schematic diagram of a multilayer feed-forward neural network (Source: Kalogirou,
            2001).
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