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 conductivity is k = 0.78 W/m· o C. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at ! o C while the temperature of the outdoors is "# o C. $a %e the convection heat transfer coefficients on the inner and outer surfaces of the window to &e h' = '0 W/m · o C and h = # W/m · o C( and disregard any heat transfer &y radiation We can solve this by an equivalent thermal circuit with three resistances: one for the inside convection, one for conduction through the window and one for outside convection. The convection resistances are 1/hA and the conduction resistance is L/A. The combined resistance is the sum of the three individual resistances and the heat transfer is the ratio of the tem!erature difference to this combined resistance. = + + = + + =  2 2 2 2 2 2 1 2 1 4 . 2 1 25 4 . 2 006 . 0 78 . 0 4 . 2 1 10 ) 5 ( 24 1 1 m W C m m m W C m m W C m C C  A h kA  L  A h T T Q o o o o o 471 W The inner surface tem!erature is sim!ly found from the heat flow, which is constant, and the initial convection resistance. ( ) ( )  = = = =  2 2 1 1 1 1 1 1 4 . 2 1 10 471 24 m W C m W C  A h Q T T T T  A h Q o o 4.4 o C R window

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conductivity is k = 0.78 W/moC. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at 24oC while the temperature of the outdoors is 5oC. Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be h1 = 10 W/m2oC and h2 = 25 W/m2oC, and disregard any heat transfer by radiationWe can solve this by an equivalent thermal circuit with three resistances: one for the inside convection, one for conduction through the window and one for outside convection.

The convection resistances are 1/hA and the conduction resistance is L/kA. The combined resistance is the sum of the three individual resistances and the heat transfer is the ratio of the temperature difference to this combined resistance.

471 WThe inner surface temperature is simply found from the heat flow, which is constant, and the initial convection resistance.

4.4oCRwindow

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