(Solution) - A long 1 cm diameter electric copper cable is embedded in the -(2025 Original AI-Free Solution)

Paper Details

A long 1-cm-diameter electric copper cable is embedded in the center of a 25 cm square concrete block. If the outside temperature of the concrete is 25°C and the rate of electrical energy dissipation in the cable is 150 W per meter length, determine the temperatures at the outer surface and at the center of the cable.
GIVEN
A long electric copper cable embedded in the center of a square concrete block
Diameter of the pipe (Dp) = 1 cm = 0.01 m
Length of a side of the block = 25 cm = 0.25 m
The outside temperature of the concrete (To) = 25°C
The rate of electrical energy dissipation (Q?G /L ) = 150 W/m
ASSUMPTIONS
Two dimensional, steady state heat transfer
Uniform thermalconductivities