Consider a room with a 1.8-m-high and 2.0-m-wide double-pane window consisting of two 4-mm-thick layers of glass separated by a 10-mm-wide stagnant air space. The convection heat transfer coefficients on the inner and outer surfaces of the window are 12 W/m2 K and 25 W/m2 K, respectively, while the average thermal conductivity of glass is 0.78 W/m K; and the air, 0.026 W/m K.   If the room is maintained at 22 oC, the outside temperature is -4 oC and heat transfer due to radiation can be neglected, determine:                 (i) Draw the sketch and thermal resistance network;                                                (ii) the total thermal resistance;                (iii) the steady rate of heat transfer through this double-pane window;                                                                              (iv) the temperature of the inner surface of the window.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1.

(a)

 

Consider a room with a 1.8-m-high and 2.0-m-wide double-pane window consisting of two 4-mm-thick layers of glass separated by a 10-mm-wide stagnant air space. The convection heat transfer coefficients on the inner and outer surfaces of the window are 12 W/m2 K and 25 W/m2 K, respectively, while the average thermal conductivity of glass is 0.78 W/m K; and the air, 0.026 W/m K.

 

If the room is maintained at 22 oC, the outside temperature is -4 oC and heat transfer due to radiation can be neglected, determine:

 

 

 

 

 

 

 

 

(i)

Draw the sketch and thermal resistance network;                                 

 

 

 

 

 

 

 

(ii)

the total thermal resistance; 

 

 

 

 

 

 

 

(iii)

the steady rate of heat transfer through this double-pane window;                                                               

 

 

 

 

 

 

 

(iv)

the temperature of the inner surface of the window.

 

 

 

 

 

 

 

 

 

 

(b)

 

If a fuel contains 86% C, 9% H2, 1% S and 4% ash (silica) by mass, determine:

 

 

 

 

 

 

 

 

(i)

the total oxygen needed;

 

 

 

 

 

 

 

(ii)

the total air needed;

 

 

 

 

 

 

 

(iii)

the stoichiometric air/fuel ratio.

 

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