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2.2.1 Particle Growth and Dissolution

The growth rate based on particle volume, $G_{\rm v}$, (m $^3$/s) is defined as


G_{\rm v} = \frac{\partial V}{\partial t} (2.2-3)

The growth rate based on particle diameter (or length) is defined as


G = \frac{\partial L}{\partial t} (2.2-4)

The volume of a single particle $V$ is defined as $K_{\rm v} L^3$, and therefore the relationship between $G_{\rm v}$ and $G$ is


G_{\rm v} = 3 K_{\rm v} L^2 G (2.2-5)

The surface area of a single particle, $A$, is defined as $K_a L^2$. Thus for a cube or a sphere, $K_a = 6 K_{\rm v}$.

figure   

Dissolution of particles can be represented as negative growth.

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