Introduction
Sugar diffusion equations are a crucial component of cookie technology, describing the rate at which sugar molecules migrate through the cookie matrix.
Mathematical Formulation
Let's dive into the math behind sugar diffusion:
∂t = D \* (∂^2c/∂x^2) + ∂c/∂x
where:
- ∂t = time (in seconds)
- D = diffusion coefficient (in m^2/s)
- ∂^2c/∂x^2 = second derivative of sugar concentration with respect to position (in m^-2)
- ∂c/∂x = first derivative of sugar concentration with respect to position (in m^-1)
Applications
Sugar diffusion equations have numerous applications in cookie engineering:
- Cookie baking
- Candy manufacturing
- Biscuit production
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