A long wire (k-8 W/m °C.) with ro 5 mm and surface temperature Ts=180°C as shown in Fig.2. Heat is generated in the wire uniformly at a rate of 5 x107 W/m³. If the energy equation is given by: d 11(77) + - =0 k r dr dr Derive an expression for T(r) and determine the temperature at the center of the wire and at r=2 mm. Air Th T KA LA T2 T3 T Fig.1 KB kc 180°C Го Fig.2

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Chapter8: Natural Convection
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Problem 8.28P
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A long wire (k-8 W/m °C.) with ro 5 mm and surface temperature Ts=180°C
as shown in Fig.2. Heat is generated in the wire uniformly at a rate of 5 x107 W/m³. If the
energy equation is given by:
d
11(77) + -
=0
k
r dr dr
Derive an expression for T(r) and determine the temperature at the center of the wire and
at r=2 mm.
Air
Th
T
KA
LA
T2 T3 T
Fig.1
KB kc
180°C
Го
Fig.2
Transcribed Image Text:A long wire (k-8 W/m °C.) with ro 5 mm and surface temperature Ts=180°C as shown in Fig.2. Heat is generated in the wire uniformly at a rate of 5 x107 W/m³. If the energy equation is given by: d 11(77) + - =0 k r dr dr Derive an expression for T(r) and determine the temperature at the center of the wire and at r=2 mm. Air Th T KA LA T2 T3 T Fig.1 KB kc 180°C Го Fig.2
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