Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 3, Problem 3.39P
The diagram shows a conical section fabricatedfrom pure aluminum. It is of circular cross sectionhaving diameter
- Derive an expression for the temperature distribution
- Calculate the heat rate
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A steel rod, 12 mm in diameter, passes centrally through a copper tube 2.5 m long and having 36 mm and 48 mm as internal and external diameters respectively. The tube is closed at each end by 24 mm thick steel plates which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.50. The whole assembly is then raised in temperature by 60 degrees Celsius. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa
Calculate the stress in copper and stress in steel after the rise of temperature if the thickness of the plates remains unchanged. Indicate if the answer is tensile, tension, compression.
A steel rod, 12 mm in diameter, passes centrally through a copper tube 2.5 m long and having 36 mm and 48 mm as internal and external diameters respectively. The tube is closed at each end by 24 mm thick steel plates which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.50. The whole assembly is then raised in temperature by 60 degrees Celsius. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa
Calculate the stress in copper before the rise of temperature if the thickness of the plates remains unchanged. Indicate if the answer is tensile, tension or compression
Sputnik 1, the first satellite launched into space by the Russians in 1957, is a 2-shell aluminum alloy (2024-T6) sphere. The highly polished outer shell (seeing deep space) is 585 mm in diameter, and has thickness of 1 mm (ID = 583 mm). The inside shell is 2 mm thick. There is a contact resistance between the two aluminum shells of value Rc"= 200 m2·K/W. Inside the shell, there is a radio unit that is uniformly dissipating thermal energy of Qradio = 1 W. Determine the steady-state temperature on the inner shell’s inner wall (ignore the effects of the antennas).
Hint: You can use a radiation heat transfer coefficient hr = εσTshell3
Chapter 3 Solutions
Introduction to Heat Transfer
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