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- W1981646704 abstract "Abstract Gas—solid non-catalytic reactions and/or parallel catalyst deactivation can often be described locally by a rate expression proportional to both solid reactant concentration (or catalyst activity) and gas reactant concentration. The reaction (deactivation) of a whole solid pellet is then represented by a coupled system of non-linear partial differential equations with prescribed boundary and initial conditions. Computations of solid conversion or the catalyst effectiveness factor by finite difference methods are often very lengthy and time consuming. In this paper the above system of partial differential equations is reduced by an integral transformation to a two-point non-linear boundary value problem in space for an ordinary differential equation. It is shown further that for a slab geometry an equivalent initial value problem in time can be formulated which allows rapid computations and solutions not only for the solid conversion and catalyst effectiveness factor but also for point gas and solid concentrations. This technique improves the computational procedure for these problems considerably. Extensions to other general rate forms and pellet geometries are presented." @default.
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- W1981646704 date "1978-01-01" @default.
- W1981646704 modified "2023-10-17" @default.
- W1981646704 title "A new technique to solve models for the reaction of solid particles and for parallel catalyst deactivation" @default.
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- W1981646704 doi "https://doi.org/10.1016/0300-9467(78)80052-5" @default.
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