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Time to Cook A Turkey

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According to this website, there is an equation obtained empirically to obtain the amount of time it takes to cook a Turkey:

t = W(2/3)/1.5


Is there any theory to support such a relation? Yes, the internal structure of a turkey is complicated so I'm sure the proper way to do it is to numerically model a PDE of the heat equation.
But are there any approximates we can use in real life to get a good idea of how long it'll take to cook something?

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