Q3 a) A rectangular duct with width of 0.3 m and height of 0.2 m is used to deliver cold fresh air to a medium size master bedroom. Heat from roof causes the internal surface temperature of the duct to be 40°C. The fresh cold air enters the duct at 17°C and exits at 23°C. Given the volumetric flow rate of the fresh cold air which enters the duct is 0.15 m/s, assuming the flow inside the duct is fully developed: i) State two assumptions for analyzing this problem ii) Calculate the Reynolds number for the flow inside the duct iii) Calculate the heat transfer rate to the fresh cold air inside the duct, kW iv) What is the minimum length of the duct to keep the exit temperature at 23°C, m b) Will the exit temperature remain the same which is at 23°C, if the length of the duct is increased 5 times of the length calculated in iv)? Explain and sketch a temperature variation along the length of the duct to justify your answer.

Q3 a) A rectangular duct with width of 0.3 m and height of 0.2 m is used to deliver cold fresh air to a medium size master bedroom. Heat from roof causes the internal surface temperature of the duct to be 40°C. The fresh cold air enters the duct at 17°C and exits at 23°C. Given the volumetric flow rate of the fresh cold air which enters the duct is 0.15 m/s, assuming the flow inside the duct is fully developed: i) State two assumptions for analyzing this problem ii) Calculate the Reynolds number for the flow inside the duct iii) Calculate the heat transfer rate to the fresh cold air inside the duct, kW iv) What is the minimum length of the duct to keep the exit temperature at 23°C, m b) Will the exit temperature remain the same which is at 23°C, if the length of the duct is increased 5 times of the length calculated in iv)? Explain and sketch a temperature variation along the length of the duct to justify your answer.

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

Q3
a) A rectangular duct with width of 0.3 m and height of 0.2 m is used to deliver cold fresh air to a
medium size master bedroom. Heat from roof causes the internal surface temperature of the
duct to be 40°C. The fresh cold air enters the duct at 17°C and exits at 23°C. Given the
volumetric flow rate of the fresh cold air which enters the duct is 0.15 m/s, assuming the flow
inside the duct is fully developed:
i) State two assumptions for analyzing this problem
ii) Calculate the Reynolds number for the flow inside the duct
iii) Calculate the heat transfer rate to the fresh cold air inside the duct, kW
iv) What is the minimum length of the duct to keep the exit temperature at 23°C, m
b) Will the exit temperature remain the same which is at 23°C, if the length of the duct is increased
5 times of the length calculated in iv)? Explain and sketch a temperature variation along the
length of the duct to justify your answer.

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