In a tempering process, glass plate, which is initially at a uniform temperature Ti, is cooled by suddenly reducing the temperature of both surfaces to Ts. The plate is 10 mm thick, and the glass has a thermal diffusivity of 6 × 10−7 m2/s. (a) How long will it take for the midplane temperature to achieve 75% of its maximum possible temperature reduction? (b) If (Ti − Ts) = 300°C, what is the maximum temperature gradient in the glass at the time calculated in part (a)? (c) Plot the temperature distribution within the glass plate at t = 10s

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Explanation:

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In a tempering process, glass plate, which is initially at a uniform temperature Ti, is cooled by suddenly reducing the temperature of both surfaces to Ts. The plate is 10 mm thick, and the glass has a thermal diffusivity of 6 × 10−7 m2/s. (a) How long will it take for the midplane temperature to achieve 75% of its maximum possible temperature reduction? (b) If (Ti − Ts) = 300°C, what is the maximum temperature gradient in the glass at the time calculated in part (a)? (c) Plot the temperature distribution within the glass plate at t = 10s

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