Answer to Question #183119 in Mechanical Engineering for luke

Question #183119

A 2mm diameter electrical wire is insulated by a 2mm thick rubberized sheath (k=0.13W/m-K). The convection heat transfer coefficient at the outer surface of the sheath is 10W/m2-K and the temperature of the ambient air is 20C. If the temperature of the insulation may not exceed 50C, what is the maximum allowable power that may be dissipated per meter length of the conductor (watts) 


1
Expert's answer
2021-04-22T07:23:12-0400

Diameter of wire is 2 mm= m, Thermal heat conduction = k=0.13W/m-K,

thickness of sheath= t= m, Ambient temperature= = , Temperature of insulation= 50

Now net thermal resistance,



R= 6.650 m2K/W

Maximum allowable power per unit length

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