Concept explainers
a) What is the steady-state temperature of the wire surface if this current has been passing through the cable for a long period of time in these underwater conditions?
b) Assume that the cable starts at the same uniform temperature as the water and then the electrical current is passed through the cable. We're now interested in the amount of time it takes to heat up. Start by calculating the Biot number for this scenario.
c) Derive the appropriate energy balance for this transient analysis.
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d) Find the time constant associated with this transient analysis.
e) Find the time it takes for the temperature of the wire surface to reach a temperature that is within 2∘C of the steady-state temperature of the wire.
d) Find the time constant associated with this transient analysis.
e) Find the time it takes for the temperature of the wire surface to reach a temperature that is within 2∘C of the steady-state temperature of the wire.
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