A long aluminum cylinder with a diameter of 5 cm is initially at a temperature of 200oC and is suddenly exposed to 70oC convection and h = 525W /m2 oC Find the 1.25 cm diameter temperature and the heat loss per unit length 1 minute after the cylinder is subjected to convection. Thermal properties of the material k=215 W/moC  a= 8,4x10-5m2/s ρ=2700kg/m3 CP=0.9kJ/kgoC

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A long aluminum cylinder with a diameter of 5 cm is initially at a temperature of 200oC and is suddenly exposed to 70oC convection and h = 525W /m2 oC

Find the 1.25 cm diameter temperature and the heat loss per unit length 1 minute after the cylinder is subjected to convection.

Thermal properties of the material

k=215 W/mo

a= 8,4x10-5m2/s

ρ=2700kg/m3

CP=0.9kJ/kgoC

1.0
-100
50
\30
Heisler diagrams for cylinder
0.7
18
0.5
0.4
0.3
0.2
0.6
1.0
0.7
0.81.21.6
2.5 3.0
0.1
0.3
2
3
4
0.2
Bi = klhr,
0.1
100
0.07
90
0.05
80
0.04
0.03
0.02
0.01
0.007
0.005
0.004
0.003
0.002
30 35 40
0.001
2
3
4 6 8 10 12 14 16 18 20 22 24 26 28 30 40 50 60 70 80 90100 115 130 150200 300o
(atlr) = Fo
Transcribed Image Text:1.0 -100 50 \30 Heisler diagrams for cylinder 0.7 18 0.5 0.4 0.3 0.2 0.6 1.0 0.7 0.81.21.6 2.5 3.0 0.1 0.3 2 3 4 0.2 Bi = klhr, 0.1 100 0.07 90 0.05 80 0.04 0.03 0.02 0.01 0.007 0.005 0.004 0.003 0.002 30 35 40 0.001 2 3 4 6 8 10 12 14 16 18 20 22 24 26 28 30 40 50 60 70 80 90100 115 130 150200 300o (atlr) = Fo
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