A local brand of water heater has offered a counterflow concentric tube heat exchanger, consisting of thin walled copper drains with a diameter D; = 50 mm. Waste water from the shower enters the heat exchanger at Th = 38 °C while fresh water enters the room at Tei= 10 °C. The waste water flows down the vertical drain wall in a thin, falling film and providing h, = 10 kW/m². K. i. If the annular gap is d = 10 mm, the heat exchanger length is L = 1 m, and the water flow rate is m = 10 kg/min, determine the heat transfer rate and outlet temperature of the warmed fresh water. If a helical spring is installed in an annular gap so the fresh water is forced to flow a spiral path ji. from the inlet to the fresh water outlet, resulting in he = 9050 W/m²-K, determine the heat transfer rate and outlet temperature of the fresh water. iii. Based on the result from Q5(b), calculate the daily saving if 15,000 guests each take 10 minutes shower per day and cost of water heating is RM0.07/kW.h.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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QUESTION 7
A local brand
of water heater has offered a counterflow concentric tube heat exchanger, consisting of thin walled
copper drains with a diameter D; = 50 mm. Waste water from the shower enters the heat exchanger at
Thi= 38 °C while fresh water enters the room at Te,j= 10 °C. The waste water flows down the vertical
drain wall in a thin, falling film and providing h, = 10 kW/m²·K.
i.
If the annular gap is d = 10 mm, the heat exchanger length is L = 1 m, and the water flow rate
is m = 10 kg/min, determine the heat transfer rate and outlet temperature of the warmed fresh
water.
ii.
If a helical spring is installed in an annular gap so the fresh water is forced to flow a spiral path
from the inlet to the fresh water outlet, resulting in he = 9050 W/m²-K, determine the heat
transfer rate and outlet temperature of the fresh water.
iii.
Based on the result from Q5(b), calculate the daily saving if 15,000 guests each take 10 minutes
shower per day and cost of water heating is RM0.07/kW-h.
Transcribed Image Text:QUESTION 7 A local brand of water heater has offered a counterflow concentric tube heat exchanger, consisting of thin walled copper drains with a diameter D; = 50 mm. Waste water from the shower enters the heat exchanger at Thi= 38 °C while fresh water enters the room at Te,j= 10 °C. The waste water flows down the vertical drain wall in a thin, falling film and providing h, = 10 kW/m²·K. i. If the annular gap is d = 10 mm, the heat exchanger length is L = 1 m, and the water flow rate is m = 10 kg/min, determine the heat transfer rate and outlet temperature of the warmed fresh water. ii. If a helical spring is installed in an annular gap so the fresh water is forced to flow a spiral path from the inlet to the fresh water outlet, resulting in he = 9050 W/m²-K, determine the heat transfer rate and outlet temperature of the fresh water. iii. Based on the result from Q5(b), calculate the daily saving if 15,000 guests each take 10 minutes shower per day and cost of water heating is RM0.07/kW-h.
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