A piece of chromium steel of length 7.4 cm (density = 8780 kg/m^3; k = 50 w/mK and specific heat cp = 440j/kgK with mass 1.27 kg is rolled into a solid cylinder and heated to a temperature of 600 deg C and quenched in oil at 36 deg C. Show that the lumped capacitance system analysis is applicable and find the temperature of the cylinder after 4 min. What is the total heat transfer during the period? You may take the convective heat transfer coefficient between the oil and cylinder at 280 w/m^2 k.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
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Problem 2.34P: 2.34 Show that the temperature distribution in a sphere of radius . made of a homogeneous material...
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A piece of chromium steel of length 7.4 cm (density = 8780 kg/m^3; k = 50 w/mK and specific heat cp = 440j/kgK with mass 1.27 kg is rolled into a solid cylinder and heated to a temperature of 600 deg C and quenched in oil at 36 deg C. Show that the lumped capacitance system analysis is applicable and find the temperature of the cylinder after 4 min. What is the total heat transfer during the period? You may take the convective heat transfer coefficient between the oil and cylinder at 280 w/m^2 k. 

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