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A metal die, shaped like a hockey puck, is 80 mm in diameter and 50-mm thick. The thermal conductivity of the die is 12.5 W/m.°C, density is 1800 kg/m³, and specific heat is 600 J/kg. °C. In the process of making it, the die is initially heated up to 240°C, and then slowly cooled to 40°C by dropping it in cold bath at 10°C. The average convection coefficient in the bath around the die can be assumed to be 30 W/m².°C. (a) Find the Biot number to verify lumped capacitance applicability. (b) How long will the cooling process take? 81485 0¹027

A metal die, shaped like a hockey puck, is 80 mm in diameter and 50-mm thick. The thermal conductivity of the die is 12.5 W/m.°C, density is 1800 kg/m³, and specific heat is 600 J/kg. °C. In the process of making it, the die is initially heated up to 240°C, and then slowly cooled to 40°C by dropping it in cold bath at 10°C. The average convection coefficient in the bath around the die can be assumed to be 30 W/m².°C. (a) Find the Biot number to verify lumped capacitance applicability. (b) How long will the cooling process take? 81485 0¹027

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A metal die, shaped like a hockey puck, is 80 mm in diameter and 50-mm thick. The thermal conductivity of the die is 12.5 W/m.°C, density is 1800 kg/m³, and specific heat is 600 J/kg.°C. In the process of making it, the die is initially heated up to 240°C, and then slowly cooled to 40°C by dropping it in cold bath at 10°C. The average convection coefficient in the bath around the die can be assumed to be 30 W/m².°C. (a) Find the Biot number to verify lumped capacitance applicability. (b) How long will the cooling process take? 81485
Transcribed Image Text:A metal die, shaped like a hockey puck, is 80 mm in diameter and 50-mm thick. The thermal conductivity of the die is 12.5 W/m.°C, density is 1800 kg/m³, and specific heat is 600 J/kg.°C. In the process of making it, the die is initially heated up to 240°C, and then slowly cooled to 40°C by dropping it in cold bath at 10°C. The average convection coefficient in the bath around the die can be assumed to be 30 W/m².°C. (a) Find the Biot number to verify lumped capacitance applicability. (b) How long will the cooling process take? 81485
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