heat transfer from extended surfaces part 2whitty/chen3453/lecture 08 - extended surfaces... ·...
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Heat Transfer fromExtended Surfaces
Part 2
CH EN 3453 – Heat Transfer
Reminders…
• Homework #3 due today
• Homework #4 due Friday next week– Help session Wednesday
• Bethany’s office hours changed to Fridays from 3-4 PM in ICC
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Four Scenarios for Treating Pin Tips
Gas Turbine Blade
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Example – Book Problem 3.116Turbine blade mounted on proposed air-cooled rotating disc (Tb = 300°C) in a gas turbine with gas stream at T∞ = 1200°C.
(a) If max allowable blade temperature is 1050°C and blade tip is assumed to be adiabatic, will the air cooling approach work?
(b) What is the rate of heat transfer from blade to coolant?
h = 250 W/m2·K
= 50 mm
k = 20 W/m·KAc = 6x10–4 m2
P = 110 mm
300°C
1200°C
qfin = 508 Watts
Fin Efficiencies
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Fin Efficiencies
Fin Efficiencies
Modified Bessel function of the first kind(Appendix B.5)
Modified Bessel function of the second kind(Appendix B.5)
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Fin Efficiencies, continued
Thermal Circuits
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Example – Finned Pipe
5 mm1 mm
4 mm
4 mm
Pipe OD = 51 mm ID = 45 mm
Fin L = 17 mm w = 4 mm t = 1 mm pitch = 5 mm
k = 64 W/m·K
h = 12 W/m2·KLc = L + (t/2) = 0.0175 m
Af = 2wLc = 0.000140 m2
m = (2h/kt)0.5 = 19.4 m-1
ηf = 0.964
ηo = ?