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eurekameh

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the winter months are D = 2 m in diameter and are

stored end-to-end in long rows. Microbial energy generation

occurs in the hay and can be excessive if the

farmer bales the hay in a too-wet condition. Assuming

the thermal conductivity of baled hay to be

k = 0.04 W/m*K, determine the maximum steady-state

hay temperature for dry hay (q,dot = 1W/m3), moist hay

(q,dot = 10 W/m3), and wet hay (q,dot = 100 W/m3). Ambient

conditions are T,infinity = 0 degrees C and h = 25 W/m2*K.

I believe I have to use the heat equation in cylindrical coordinates for this problem. Simplifying most terms, I have: (1/r)(d/dr)(k*r*dT/dr) + q,dot = 0, where q,dot is the heat generation term. I integrated this equation and got: T(r) = (-q,dot*r^2)/(4*k) + C1*r + C2, where C1 and C2 are constants of integration. I'm having trouble figuring out the boundary conditions and so, can't find C1, C2. Once I get the constants of integration, I'd find where dT/dr = 0 to get the radial distance r in which there is a maximum temperature. If anyone has any idea, thanks in advance.