Find biot number to check if assumption can be made


An iron ball, d = 0.1m, k = 50W/mK, r = 7900 kg/m3, cp = 500 J/kgK is taken out of a furnace at uniform temperature T1 = 700oC and left in air of temperature To = 20oC. The heat transfer coefficient by convection from iron to air is h = 10 W/m2K,

Calculate the Biot number to check if an assumption of uniform temperature within the ball can be made.

Starting from its differential equation derive expression for the time history of temperature in the ball.

Determine the time necessary for the ball to cool down to 60oC

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Mechanical Engineering: Find biot number to check if assumption can be made
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