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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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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