Rate of heat flow through the wall per unit area


Solve the folloiwng problem:

Q: Heat is transferred through a plane wall from the inside of a room at 22°C to the outside air at -2°C. The convective heat transfer coefficients at the inside and outside surfaces are 12 and 28 W/(m2 K), respectively. The thermal resistance of a unit area of the wall is 0.5 m2 K/W. Determining the temperature at the outer surface of the wall and the rate of heat flow through the wall per unit area.

GIVEN

Heat transfer through a plane wall

Air temperature

Inside wall (Ti) = 22°C and outside wall (To) = -2°C

Heat transfer coefficient

Inside wall ( hci ) = 12 W/(m2 K)

Outside wall ( hco ) = 28 W/(m2 K)

Thermal resistance of a unit area (A Rw) = 0.5 (m2 K)/W

ASSUMPTIONS

One dimensional heat flow

Steady state has beenreached

569_Wall.jpg

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Mechanical Engineering: Rate of heat flow through the wall per unit area
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