The air inside a chamber at 600 C is heated convectively with a convective coefficient of 25 W/m2 .K by a 190 mm thick wall having a thermal conductivity of 4.5 W/m.K. It has a uniform heat generation of 900 W/m3 . Its other side is exposed to an ambient 250 C with a convection coefficient of 5 W/m2 .K. To prevent the heat loss from the outside surface of the wall, a very thin strip heater is placed on the outer wall to provide a uniform heat flux q0. a) Sketch the temperature distribution in the wall on T-x coordinates for condition, where no heat generated within the wall is lost to outside of the chamber. b) What are the temperatures of inside and outside surfaces for the condition of part (a) c) Determine the value of heat flux, q0 that must be supplied by the strip heater, so that the heat generated within the wall is transferred to the inside of the chamber.
The air inside a chamber at 600 C is heated convectively with a convective coefficient of
25 W/m2
.K by a 190 mm thick wall having a thermal conductivity of 4.5 W/m.K. It has a
uniform heat generation of 900 W/m3
. Its other side is exposed to an ambient 250 C with a
convection coefficient of 5 W/m2
.K. To prevent the heat loss from the outside surface of
the wall, a very thin strip heater is placed on the outer wall to provide a uniform heat flux
q0.
a) Sketch the temperature distribution in the wall on T-x coordinates for condition,
where no heat generated within the wall is lost to outside of the chamber.
b) What are the temperatures of inside and outside surfaces for the condition of part (a)
c) Determine the value of heat flux, q0 that must be supplied by the strip heater, so that
the heat generated within the wall is transferred to the inside of the chamber.
d) If the heat generated within the wall is switched off, while the heat flux q0 to the strip
heater remains constant. What would be the steady-state temperature of the outer wall
surface?
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