A solid iron sphere with a diameter of 5 mm is initially at a uniform temperature of ti = 1550°C and is suddenly quenched in a large oil bath.
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A sphere of 210 mm diameter (made of cast iron) initially at a uniform temperature of 41°C is quenched into oil. The oil bath temperature is 50°C. If the temperature of the sphere is 11°C after 5 minutes, find the heat transfer coefficient on the surface of the sphere. Neglect internal thermal resistance. Take: Cp (cast iron) = 0.32 kJ/kg°C; density (cast iron) = 7000 kg/m³.
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A solid iron sphere of diameter 5 cm, initially at a uniform temperature of 700 °C is exposed to a cool air stream at 100 °C. The heat transfer coefficient between the air stream and the surface of the iron sphere is 80 W/ m 2 C. a) Check whether the lumped system is applicable. b) If applicable, determine the time required for the temperature of the sphere to reach 300 °C. For iron, k = 60 W/ m °C, density = 7,800 kg/ m 3 and specific heat = 460 J/ kg °C.
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