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Modeling Scenario

3-061-ChemEngApps-ModelingScenario

Author(s): Eric Stachura1, Tamara Lozano2

1. Kennesaw State University 2. Yokogawa Corporation, Newnan GA USA

Keywords: Spanish porous medium catalyisis cyclohexene hydrogel dehydrogenation hyperbolic trig functions

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Abstract

Resource Image Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst shrinks to 0.

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Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Lesson Length
Technology
Approach
Skills
Pedagogical Approaches
Bloom's Cognitive Level

Description

Students will be lead through a classical chemical engineering problem: to calculate the concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation. Then students will analyze the concentration as the radius of the catalyst shrinks to zero. Finally, they will explore a Mathematica Module where they can explore the relationships between the various parameters within the problem. In particular, they will see that decreasing the radius of the catalyst pellet results in a lower chemical concentration at the center of the pellet than at the surface. An optional set of questions related to a hydrogel model for knee joint replacements, using similar mathematics, is also included.

A catalyst is a material which is capable of accelerating a chemical reaction without being consumed during the reaction process. Catalysts often consist of a porous material with high surface area, in which particles of a precious metal have been dispersed. Catalytic particles are often referred to as pellets. Surrounding each pellet, there is a thin gas film that contains a mix of reactants and products;

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Authors

Author(s): Eric Stachura1, Tamara Lozano2

1. Kennesaw State University 2. Yokogawa Corporation, Newnan GA USA

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