Analytical Solution of the Kiln Equation for Slow Coke

Analytical Solution of the Kiln Equation for Slow Coke 

The points shown in Fig. 9 were calculated using Eq. (12) and show excellent agreement with the solid line which represents experimental data. 

It should be noted here that since the original work done at Mobil was completed, there have been new developments published in the literature. Ishida and Wen (1968) analytically solved a special case for the transition region when the reaction rate does not depend on the local solids (coke) concentration. Wen (1968) has also numerically solved the more general problem for certain kinetic forms, and Amundson and co-workers have done much work on the diffusion and reaction in the boundry layer about a carbon particle (Caram and Amundson, 1977). We will not attempt to review the literature or compare the more accurate numerical solutions with our ad hoc approximation technique. However, we note that our technique was simple, fit the experimental and commercial data extremely well, and provided us with valuable insight and understanding 

The second problem was to obtain some quantification of the variation of the coefficient a which accounts for the relative production of CO and 

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