Abstract
The interaction between irreversible, first-order chemical reaction and diffusion has been studied in finite hollow and solid cylinders. Analytical solutions in the form of Fourier—Bessel series are given. The effects of the significant geometrical parameters, and the Thiele modulus upon the effectiveness factor are computed and presented in graphical form. Steady state expressions for reversible chemical reaction and diffusion in particles of these shapes are also given. Equations for irreversible chemical reaction and diffusion under unsteady state conditions in the particles have been obtained by means of a transformation due to Danckwerts, whereby results for unsteady diffusion are transformed to results for unsteady diffusion with chemical reaction. A transformation whereby expressions for unsteady state reversible reaction and diffusion may be obtained from the expressions for unsteady state diffusion, is derived. The method is illustrated by a number of examples. Some applications to non-isothermal reaction systems are pointed out.
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