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Published December 1995 | public
Journal Article

Solution of equations describing fluid–soil reactions in packed columns

Abstract

A semianalytical technique is presented frr solving the equations describing an isothermal, irreversible reaction of a trace component in a packed bed of a solid reactant or adsorbent The reaction-rate expression is assumed to have an arbitrary dependence on the solid reactant concentration, but a first-order dependence on the trace gas component. The technique relies on an integral transformation that reduces the set of partial differential equations to a set of two coupled ordinary differential equations in the spatial variables. Solving these two equations is simpler than solving the original equations by finite differences or finite elements, especially in the presence of steep concentration gradients. Two examples presented illustrate the technique: a progressive conversion model with reaction occurring at dispersed sites within the adsorbent pellet and a reaction proceeding in the shrinking core mode.

Additional Information

© 1995 American Institute of Chemical Engineers (AIChE). Manuscript received Aug. 22, 1994, and revision received Dec. 22, 1994. Funding for this project was provided by the Advanced Development Activity for Microgravity Containerless Technology of the Jet Propulsion Laboratory.

Additional details

Created:
September 15, 2023
Modified:
October 23, 2023