. A model differential equation for chemical reaction dynamics is given as kC x C D x C u t C − = + 2 2 where u is the velocity, D is the diffusion coefficient, k is a reaction rate, and C is the (dimensionless) concentration of a given chemical species.
(a) Determine the appropriate dimensions of D and k.
(b) Using a characteristic length scale L and average velocity V as parameters, rewrite this equation in dimensionless form and comment on any non-dimensional group appearing.
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. A model differential equation for chemical reaction dynamics is given as kC x C D x C u t C − ...
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