1-) Die casting is a metal casting process that is characterized by forcing molten metal under high pressure into a mould cavity. A circular die (k = 150 W/mK, T = 125 °C) is used to drill a hole (D = 0.5 m) along length L = 3 m through a cylindrical metal (D = 2 m) as shown in the figure. A cooling fluid (k = 0.6 W/mK) passes through the hole during the process to keep the inner surface temperature of the hole to 85 °C. In the meantime, the outer surface temperature of the cylinder is held at 30 °C. The hole is drilled eccentrically (not in the origin of the cylinder, 0.1 m perpendicular distance) as shown in the figure. If the heat loss through the cylinder is XY kW during this process, what is the thermal conductivity of the cylindrical metal? (Take the heat loss value XY as a 49 2m 0.1m %3D 3m

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1-) Die casting is a metal casting process that is
characterized by forcing molten metal under high
pressure into a mould cavity. A circular die (k = 150
W/mK, T = 125 °C) is used to drill a hole (D = 0.5 m)
along length L = 3 m through a cylindrical metal (D = 2
m) as shown in the figure. A cooling fluid (k = 0.6
W/mK) passes through the hole during the process to
keep the inner surface temperature of the hole to 85 °C. In the meantime, the outer
surface temperature of the cylinder is held at 30 °C. The hole is drilled eccentrically (not
in the origin of the cylinder, 0.1 m perpendicular distance) as shown in the figure. If the
heat loss through the cylinder is XY kW during this process, what is the thermal
conductivity of the cylindrical metal? (Take the heat loss value XY as a 49
2m
0.1m
%3D
3m
Transcribed Image Text:1-) Die casting is a metal casting process that is characterized by forcing molten metal under high pressure into a mould cavity. A circular die (k = 150 W/mK, T = 125 °C) is used to drill a hole (D = 0.5 m) along length L = 3 m through a cylindrical metal (D = 2 m) as shown in the figure. A cooling fluid (k = 0.6 W/mK) passes through the hole during the process to keep the inner surface temperature of the hole to 85 °C. In the meantime, the outer surface temperature of the cylinder is held at 30 °C. The hole is drilled eccentrically (not in the origin of the cylinder, 0.1 m perpendicular distance) as shown in the figure. If the heat loss through the cylinder is XY kW during this process, what is the thermal conductivity of the cylindrical metal? (Take the heat loss value XY as a 49 2m 0.1m %3D 3m
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