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4. A copper sphere of radius R and thermal conductivity k is initially in equilibrium at 500 K in a hot oil bath. It is
4. A copper sphere of radius R and thermal conductivity k is initially in equilibrium at 500 K in a hot oil bath. It is suddenly removed from the bath and cooling in air at 300 K. The convection heat transfer coefficient for this cooling process is h.
- Write the conservation equation of the transient conduction occurs in the sphere. (6%)
- What are the initial condition and the boundary conditions of this system? (3%)
- Under what physical condition the temperature in the sphere can be regarded as uniform? (5%)
- Write the approximate energy balance equation for the transient conduction in this solid sphere if the lumped capacitance method can be applied. (6%)
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