Answered: A 5-m-long section of an air heating…

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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Question

A 5-m-long section of an air heating system of a house passes through an unheated space in the
basement. The cross section of the rectangular duct of the heating system is 20 cm x 25 cm. Hot air
enters the duct at 100 kPa and 60°C at an average velocity of 5 m/s. The temperature of the air in
the duct drops to 54°C as a result of heat loss to the cool space in the basement. Determine the rate
of heat loss from the air in the duct to the basement under steady conditions. Also, determine the
cost of this heat loss per hour if the house is heated by a natural gas furnace that has an efficiency
of 80 percent, and the cost of the natural gas in that area is S0.60/therm (1 therm = 100,000 Btu =
105,500 k). Your solution must state governing equations and associated assumptions, illustration
and step by step execution of the overall solution.

1m
hy - 12 cm
h2 - 7 cm
4m
h, = 3 cm
Water
Stagnation
point
Figure 1
Figure 2

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