Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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A hot surface at 150°C is to be cooled by attaching 3-cm-long, 0.25-cm-diameter aluminum pin fins (k = 237 W/m-K) to it, with a center-
to-center distance of 0.6 cm. The temperature of the surrounding medium is 30°C, and the heat transfer coefficient on the surfaces is
35 W/m²K. Determine the rate of heat transfer from the surface for a 1-m × 1-m section of the plate. Also determine the overall
effectiveness of the fins.
0.6 cm
0.25 cm
The total rate of heat transfer is
kW.
The fin effectiveness is
Consider a stainless steel spoon (k = 8.7 Btu/h·ft·°F) partially immersed in boiling water at 200°F in a kitchen at 75°F. The handle of the spoon has a cross section of 0.08 in × 0.5 in and extends 7 in in the air from the free surface of the water. The heat transfer coefficient at the exposed surfaces of the spoon handle is 3 Btu/h·ft2·°F.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
A spoon is placed inside the container, such that the distance of the water level from the top end of the handle of the spoon is 7 meters. T sub air is indicated in the region outside the container.
Identify the assumptions required to solve the problem.
Check All That Apply
One-dimensional heat transfer analysis is used to solve the problem.
One-dimensional heat transfer analysis is used to solve the problem.
Bi-dimensional heat transfer analysis is used to solve the problem.
Bi-dimensional heat transfer analysis is…
A turbine blade made of a metal alloy (k=17 W/m-K) has a length of 5.3 cm, a perimeter of 11 cm, and a cross-sectional
area of 5.13 cm². The turbine blade is exposed to hot gas from the combustion chamber at 1133°C with a convection heat
transfer coefficient of 538 W/m²K. The base of the turbine blade maintains a constant temperature of 450°C and the tip is
adiabatic.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Hot gas
h=538 W/m²K
-Turbine blade
k = 17 W/m-K
p=11 cm, L=5.3 cm
A = 5.13 cm²
-T=450°C
Determine the heat transfer rate to the turbine blade.
W.
The heat transfer rate is
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