✍ Scribed by Jianguo Xu; Ulrich Hoffmann
No coin nor oath required. For personal study only.
An.integral transformation and orthogonal collocation are used in the solutioi of gas-solid noncatalytic reaction with varying diffusivity, temperature and bulk gas concentration. A coordinate transformation is applied in the stage when boundary varies with time. These manipulations reduce the nonlinear initial-boundary problem in time and space to a set of ordinary differential equations in time with given initial conditions. Formulations for different types of gas-solid non-catalytic reactions are,given. In addition to the wider range of application, the present method is more refined than that of DudukoviC and Lamba (1978, Chem. Engng Sci., 33,303-314)
in spite of their similarities in some aspects. Furthermore this method has corrected the mistakes of Dudukovie and Lamha in dealing with stage II of the reaction process. The comparison between the results obtained from the model with varying diffusivity and those from that with constant diffusivity shows that the errors introduced by constant diffusivity simplification can be very large when the internal difiusional resistance is not significantly small, and that this tendency increases with the increase of the Thiele modulus.
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