A row of long cylindrical power cables that are spaced 2 cm evenly apart is placed in parallel with a plate (k = 15 W/m-K). The plate has a thickness of 5 cm, and its lower and upper surface temperatures are To=227°C and T₁ = 207°C, respectively. The power cables are shielded with polyethylene insulation, and the diameter of each cable is 1 cm. The opposite wall is at a temperature of T3 = 20°C. The upper surface of the plate experiences convection with air at 20°C and a convection heat transfer coefficient of 20 W/m2.K. According to the ASTM D1351-14 standard specification, the polyethylene insulation is suitable for operation at temperatures up to 75°C. Determine the surface temperature of the cable and check whether the polyethylene insulation for the power cables would comply with the ASTM D1351-14 standard specification. All surfaces can be approximated as blackbodies. D To- Air, h, Too Plate, k Wall -Power cable The surface temperature of the cables is 127 °C. Yes , the polyethylene insulation for the power cables will comply with the ASTM D1351-14 standard specification.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A row of long cylindrical power cables that are spaced 2 cm evenly apart is placed in parallel with a plate (k = 15 W/m.K). The plate has
a thickness of 5 cm, and its lower and upper surface temperatures are To = 227°C and T₁ = 207°C, respectively. The power cables are
shielded with polyethylene insulation, and the diameter of each cable is 1 cm. The opposite wall is at a temperature of T3 = 20°C. The
upper surface of the plate experiences convection with air at 20°C and a convection heat transfer coefficient of 20 W/m².K. According
to the ASTM D1351-14 standard specification, the polyethylene insulation is suitable for operation at temperatures up to 75°C.
Determine the surface temperature of the cable and check whether the polyethylene insulation for the power cables would comply
with the ASTM D1351-14 standard specification. All surfaces can be approximated as blackbodies.
T3
Yes
T₂
To-
Air, h, Too
Plate, k
Wall
Power cable
The surface temperature of the cables is 127 °C.
>, the polyethylene insulation for the power cables will > comply with the ASTM D1351-14 standard specification.
Transcribed Image Text:A row of long cylindrical power cables that are spaced 2 cm evenly apart is placed in parallel with a plate (k = 15 W/m.K). The plate has a thickness of 5 cm, and its lower and upper surface temperatures are To = 227°C and T₁ = 207°C, respectively. The power cables are shielded with polyethylene insulation, and the diameter of each cable is 1 cm. The opposite wall is at a temperature of T3 = 20°C. The upper surface of the plate experiences convection with air at 20°C and a convection heat transfer coefficient of 20 W/m².K. According to the ASTM D1351-14 standard specification, the polyethylene insulation is suitable for operation at temperatures up to 75°C. Determine the surface temperature of the cable and check whether the polyethylene insulation for the power cables would comply with the ASTM D1351-14 standard specification. All surfaces can be approximated as blackbodies. T3 Yes T₂ To- Air, h, Too Plate, k Wall Power cable The surface temperature of the cables is 127 °C. >, the polyethylene insulation for the power cables will > comply with the ASTM D1351-14 standard specification.
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