It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m•K) to the cylinder wall (k = q," = 105 W/m². Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T; and the base temperature Tp. Determine these temperatures if the interface contact resistance is 50 W/m·K). Cylinder wall Aluminum casing R", = 10-4 m².K/W. tc T T, t = 2 mm 8 = 2 mm 11 r; = 60 mm T, h r = 66 mm r2 = 70 mm = 95 mm The air is at 320 K and the corresponding convection coefficient is 100 W/m² ·K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of

Elements Of Electromagnetics
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It is proposed to air-cool the cylinders of a combustion
chamber by joining an aluminum casing with annu-
lar fins (k = 240 W/m K) to the cylinder wall (k =
50 W/m·K).
q," = 105 W/m2. Assuming negligible contact
resistance between the wall and the casing,
determine the wall inner temperature T; and the
base temperature Tp. Determine these temperatures
if the interface contact resistance is
Cylinder wall
Aluminum casing
= 10-4 m2.K/W.
T,
T T,
t = 2 mm
8 = 2 mm
111
r; = 60 mm
Ta, h
r = 66 mm
I2 = 70 mm
T, = 95 mm
The air is at 320 K and the corresponding convection
coefficient is 100 W/m2 K. Although heating at the
inner surface is periodic, it is reasonable to assume
steady-state conditions with a time-averaged heat flux of
Transcribed Image Text:It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m·K). q," = 105 W/m2. Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T; and the base temperature Tp. Determine these temperatures if the interface contact resistance is Cylinder wall Aluminum casing = 10-4 m2.K/W. T, T T, t = 2 mm 8 = 2 mm 111 r; = 60 mm Ta, h r = 66 mm I2 = 70 mm T, = 95 mm The air is at 320 K and the corresponding convection coefficient is 100 W/m2 K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of
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