A cylindrical bar of length L and radius R (L>>R) whose side walls are thermally insulated supports for an electric motor. the dissipation of engine heat maintains surface top of the bar at a temperature T1 while the base meets the temperature T2 (T2

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A cylindrical bar of length L and radius R (L>>R) whose side walls are
thermally insulated supports for an electric motor. the dissipation of
engine heat maintains surface top of the bar at a temperature T1
while the base meets the temperature T2 (T2<T1). The thermal conductivity of bar material varies with temperature according to the equation k=k0-aT, where k0 is a are positive constants. Get:
(a) An expression that describes the change in temperature over of x under steady state conditions;
(b) An expression for the rate of heat loss

TI
T2
Transcribed Image Text:TI T2
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