The flat base of an 800 W power iron it is 6 mm thick and has an area of 160 cm2. the conductivity thermal alloy is 20 W/(m.K). The upper surface of the base receives the heat flow from the heating resistances located inside the iron and when operating in regime stationary at full power condition, the lower surface (in contact with the board) is at 85oC. Dismissing occasional heat losses to the environment and to other parts of the iron, ask: (a) Write the differential equation and boundary conditions for the unidirectional conduction that describes the conduction of heat through from the base; (b) Obtain the (literal) equation that describes the variation of temperature; (c) Estimate the temperature at the top surface (in contact with the resistor compartment).
The flat base of an 800 W power iron it is 6 mm thick and has an area of 160 cm2. the conductivity thermal alloy is 20 W/(m.K). The upper surface of the base receives the heat flow from the heating resistances located inside the iron and when operating in regime stationary at full power condition, the lower surface (in contact with the board) is at 85oC. Dismissing occasional heat losses to the environment and to other parts of the iron, ask:
(a) Write the differential equation and boundary conditions for the
unidirectional conduction that describes the conduction of heat through
from the base;
(b) Obtain the (literal) equation that describes the variation of temperature;
(c) Estimate the temperature at the top surface (in contact with the resistor compartment).
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