Students are casting an aluminum cylinder of diameter D = 2.5 cm and length of L = 10 cm from molten aluminum. The heated aluminum comes out of the mold at Ti = 530°C where it is quenched to T = 30°C by a cold-water faucet at T∞= 20°C and ℎ=1000 W/m2⋅K. Assume the thermophysical properties of aluminum are k = 230 W/m⋅K, ρ= 2710 kg/m3, and cp = 0.9 kJ/kg⋅K. First, determine whether the Lumped Capacitance Method is valid. Then, use the appropriate equation to determine how much time the aluminum cylinder must remain under the faucet to reach the desired temperature.
Students are casting an aluminum cylinder of diameter D = 2.5 cm and length of L = 10 cm from molten aluminum. The heated aluminum comes out of the mold at Ti = 530°C where it is quenched to T = 30°C by a cold-water faucet at T∞= 20°C and ℎ=1000 W/m2⋅K. Assume the thermophysical properties of aluminum are k = 230 W/m⋅K, ρ= 2710 kg/m3, and cp = 0.9 kJ/kg⋅K. First, determine whether the Lumped Capacitance Method is valid. Then, use the appropriate equation to determine how much time the aluminum cylinder must remain under the faucet to reach the desired temperature.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Students are casting an aluminum cylinder of diameter D = 2.5 cm and length of L = 10 cm from molten aluminum. The heated aluminum comes out of the mold at Ti = 530°C where it is quenched to T = 30°C by a cold-water faucet at T∞= 20°C and ℎ=1000 W/m2⋅K. Assume the thermophysical properties of aluminum are k = 230 W/m⋅K, ρ= 2710 kg/m3, and cp = 0.9 kJ/kg⋅K.
First, determine whether the Lumped Capacitance Method is valid. Then, use the appropriate
equation to determine how much time the aluminum cylinder must remain under the faucet to
reach the desired temperature.
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