A fused quartz sphere has a thermal diffusivity of 9 5 107 m2 s, a diameter of 2 5 cm, and a thermal conductivity of 1 52 W m C The sphere is initially at a uniform temperature of 25C and is suddenly subjected to a convection environment at 200C The convection heat transfer coefficient is 110 W m2 C Calculate the temperatures at the center and at a radius of 6 4 mm after a time of 3 min

Question: A fused-quartz sphere has a thermal diffusivity of 9.5 107 m2/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m C.

A fused-quartz sphere has a thermal diffusivity of 9.5 × 10−7 m2/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m· ºC. The sphere is initially at a uniform temperature of 25ºC and is suddenly subjected to a convection environment at 200ºC. The convection heat-transfer coefficient is 110 W/m2 · ºC. Calculate the temperatures at the center and at a radius of 6.4 mm after a time of 3 min.

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