PROBLEM 08 A 1-inch diameter wire of 10-ft length (which has an internal resistance of 3 kQ, and thermal conductivity of 300 W/m-C) experiences a current of 10 amperes. Because of this, the heat generated from the caused the melting of the wire starting from the center (the melting temperature of the wire is 2300°C). It was found that the melted part of the wire has a radius of 0.1 in from which conduction of electricity no longer generates heat. Other given: Q = 2.02 x 108 W/m³ a. What would be the temperature profile of the wire (T = f(r)) if the constants from integration where found to be C1 = 271,088.04 W/m, and C2 = 929,466.79 W/m? b. What would be the temperature of the wire at r = 0.5 in? c. What would be the heat flowrate at r = 0.1 in?
PROBLEM 08 A 1-inch diameter wire of 10-ft length (which has an internal resistance of 3 kQ, and thermal conductivity of 300 W/m-C) experiences a current of 10 amperes. Because of this, the heat generated from the caused the melting of the wire starting from the center (the melting temperature of the wire is 2300°C). It was found that the melted part of the wire has a radius of 0.1 in from which conduction of electricity no longer generates heat. Other given: Q = 2.02 x 108 W/m³ a. What would be the temperature profile of the wire (T = f(r)) if the constants from integration where found to be C1 = 271,088.04 W/m, and C2 = 929,466.79 W/m? b. What would be the temperature of the wire at r = 0.5 in? c. What would be the heat flowrate at r = 0.1 in?
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![PROBLEM 08
A 1-inch diameter wire of 10-ft length (which has an internal resistance of 3 kQ, and thermal
conductivity of 300 W/m-C) experiences a current of 10 amperes. Because of this, the heat
generated from the caused the melting of the wire starting from the center (the melting
temperature of the wire is 2300°C). It was found that the melted part of the wire has a radius of
0.1 in from which conduction of electricity no longer generates heat.
Other given: Q = 2.02 x 108 W/m3
a. What would be the temperature profile of the wire (T = f(r)) if the constants from
integration where found to be C1 = 271,088.04 W/m, and C2 = 929,466.79 W/m?
b. What would be the temperature of the wire at r = 0.5 in?
c. What would be the heat flowrate at r= 0.1 in?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3e7c2f5-bfb4-4847-8bbc-06d9a06bae27%2Fc2293c08-4f0a-4c2b-939e-80544ceea349%2F7tyoia_processed.png&w=3840&q=75)
Transcribed Image Text:PROBLEM 08
A 1-inch diameter wire of 10-ft length (which has an internal resistance of 3 kQ, and thermal
conductivity of 300 W/m-C) experiences a current of 10 amperes. Because of this, the heat
generated from the caused the melting of the wire starting from the center (the melting
temperature of the wire is 2300°C). It was found that the melted part of the wire has a radius of
0.1 in from which conduction of electricity no longer generates heat.
Other given: Q = 2.02 x 108 W/m3
a. What would be the temperature profile of the wire (T = f(r)) if the constants from
integration where found to be C1 = 271,088.04 W/m, and C2 = 929,466.79 W/m?
b. What would be the temperature of the wire at r = 0.5 in?
c. What would be the heat flowrate at r= 0.1 in?
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