Body temperatures of fish vary with the environment (water). Consider a fish that can be approximated as a slab whose total metabolic heat generation in W is given by 0.194m0· 85 where mis the mass of the fish in kg. Its movement in water leads to a surface heat transfer coefficient of 50 W /m2 k. The fish weighs 2 kg, the thickness of the fish (slab) is 5 cm, and its thermal conductivity is 0.5W /m k. The density of the fish can be assumed to be that of water, 1000 kg/m3. At steady state, what is the temperature difference between 1) the center (core) and the surface of this fish? 2) The center of the fish and the bulk water?
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