Problem Use the problem solving methodology described above to solve the followi

Question

Problem Use the problem solving methodology described above to solve the following problem. Report your results on engineering paper. One major factor in determining the energy efficiency of a building is the heat loss through the structure to the environment. For a multistory building there are basically two different types of surfaces through which heat will be transmitted: walls/roof and windows. On a certain day, the heat loss measured through the windows was 113 WIm2 (e.g. a window with a surface area of 3 m2 would have a heat loss of 3m2 * 113 W/m2 339 watts). Through the walls the heat loss on the same day was 53 W/m2, and through the roof, the heat loss was 18 Wm2. Using the picture to the right and the data below, estimate the total heat loss for the Oceanography and Meteorology Building on that day through the walls, roof, and windows. is 45 m and the gross square feet of each floor (i.e., the foot print area of a floor) is 610 m2

Explanation / Answer

Lets first capture the facts in a Table:-

We can say that the Floor Area will be the same as Roof-Top Area as whatever the dimension we have for each floor, same will be the dimension for Roof Top, as Roof is nothing but the last Floor in a building. So Total Heat Loss via Roof Top = 610m2 * 18W/m2 = 10980 Watt.

For a single Window, the Heat Loss = 339 Watts. Now if the building has N floors and each N floors have X no of windows, Then Total Heat Loss via Windows = N * X * 339 Watts.

For a single wall, the Heat Loss = 53 W/m2. Now if the building has Z no of walls in total each of which is a square wall of 45m in dimension, then Total Heat Loss via Walls = Z * 53W/m2 * (45*45)m2 = 107325* Z Watts.

Thus Total Heat Loss of the Building = Heat Loss(Roof Top) + Heat Loss (Windows) + Heat Loss (Walls)

= 10980 + N * X * 339 + 107325* Z Watts [Ans]

Please let me know in case of any clarifications required. Thanks!

Heat Lost by Window 3 m2 * 113 W/m2 = 339 Watts Heat Lost by Walls 53 W/m2 Heat lost by Roof Top 18W/m2 Height of the Building 45m Floor Area 610m2

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