publication . Preprint . 2009

Chemical reactions in the presence of surface modulation and stirring

Kamhawi, Khalid; Náraigh, Lennon Ó;
Open Access English
  • Published: 24 Feb 2009
Abstract
We study the dynamics of simple reactions where the chemical species are confined on a general, time-modulated surface, and subjected to externally-imposed stirring. The study of these inhomogeneous effects requires a model based on a reaction-advection-diffusion equation, which we derive. We use homogenization methods to show that up to second order in a small scaling parameter, the modulation effects on the concentration field are asymptotically equivalent for systems with or without stirring. This justifies our consideration of the simpler reaction-diffusion model, where we find that by modulating the substrate, we can modify the reaction rate, the total yiel...
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free text keywords: Physics - Fluid Dynamics, Physics - Biological Physics
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