Maximum temperature at center of solid cylinder - Heat Transfer

Q.  What is the formula for maximum temperature (Tmax) at the center of a long and solid cylindrical electric wire of radius r?

Where,

is rate of heat generation into the electric wire
k is thermal conductivity of the electric wire
and To is the surface temperature of the wire

- Published on 12 Aug 15

a. (Tmax)=(To) +(q̇r2/2k)
b. (Tmax) =(To) +(q̇r2/4k)
c. (Tmax) =(q̇r2/2k)
d. Tmax) =(To) +(4q̇r2/k)

ANSWER: (Tmax) =(To) +(q̇r2/4k)

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