A long copper plate (k= 374 W/m °C, a temperature of 250 °C. Both outer surfaces are suddenly exposed to a fluid stream at 80 °C. The convection heat transfer coefficient between the plate and the fluid is 935 W/m2 °C. (a) Draw a simple sketch to show the change of temperature inside plate with time. (b) Calculate the temperatures at the outer surface (To) and center of the plate (Tc), after 5 minutes. m 2 /s) 20 cm thíck initially has a unifori

Elements Of Electromagnetics
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A long copper plate (k= 374 W/m °C, a = 11.23×10-5 m 2 /s) 20 cm thick initially has a uniform
temperature of 250 °C. Both outer surfaces are suddenly exposed to a fluid stream at 80 °C. The
convection heat transfer coefficient between the plate and the fluid is 935 W/m2 °C.
(a) Draw a simple sketch to show the change of temperature inside plate with time.
(b) Calculate the temperatures at the outer surface (To) and center of the plate (Tc), after 5
minutes.
1.0
0,7
0,5
0.4
0,3
100
0.2
0.1
0.07
0.05
0,04
0,03
0,02
Slo 0,01
0.007
0.005
0.004
0.003
0,002
0,001
1 2 3
4 6 8 10 12 14 16 18 20 22 24 26 28 30 40 50 60 70 80 90 100 110 130
at/L?= Fo
150 200
300
400
500
600 700
Figure 4-10 | Temperature as a function of center temperature in an
infinite plate of thickness 2L, from Reference 2.
1.0
x/L = 0.2
0.9
0.8
0.4.
0,7
0.6
0.6
0.5
0.4
0.8
0,3
0.9
0.2
0.1
1.0
0.01 0.02 0.05 0.1 0.2 0.5 1.0 2 3 5 10
20
50 100
k
hL
- Bi
O/0, = (T – T„(To- T.)
Transcribed Image Text:A long copper plate (k= 374 W/m °C, a = 11.23×10-5 m 2 /s) 20 cm thick initially has a uniform temperature of 250 °C. Both outer surfaces are suddenly exposed to a fluid stream at 80 °C. The convection heat transfer coefficient between the plate and the fluid is 935 W/m2 °C. (a) Draw a simple sketch to show the change of temperature inside plate with time. (b) Calculate the temperatures at the outer surface (To) and center of the plate (Tc), after 5 minutes. 1.0 0,7 0,5 0.4 0,3 100 0.2 0.1 0.07 0.05 0,04 0,03 0,02 Slo 0,01 0.007 0.005 0.004 0.003 0,002 0,001 1 2 3 4 6 8 10 12 14 16 18 20 22 24 26 28 30 40 50 60 70 80 90 100 110 130 at/L?= Fo 150 200 300 400 500 600 700 Figure 4-10 | Temperature as a function of center temperature in an infinite plate of thickness 2L, from Reference 2. 1.0 x/L = 0.2 0.9 0.8 0.4. 0,7 0.6 0.6 0.5 0.4 0.8 0,3 0.9 0.2 0.1 1.0 0.01 0.02 0.05 0.1 0.2 0.5 1.0 2 3 5 10 20 50 100 k hL - Bi O/0, = (T – T„(To- T.)
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