Determine the temperature at geometric center


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Q: A solid food is being cooled in a cylindrical can of dimensions 12 cm diameter and 3 cm thickness. The cooling medium is cold water at 2C. The initial temperature of the solid food is 95C. The convective heat transfer coefficient is 200W/(m^2 C).

a) Determine the temperature at geometric center after 3 hr. The thermal properties of the solid food are k=0.36 W/(m C), density of 950 kg/m^3, and specific heat of 3.9 kJ (kg C)

b) Is it reasonable to assume the cylindrical can to be an infinite (or an infinite slab)? why?

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Mechanical Engineering: Determine the temperature at geometric center
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