3. A square duct of air (p = 1.2 kg/m³; µ = 1.9x104 kg/m-s) is fed from a pressurized tank as shown and released into a room. The duct dimensions are 0.50 m on each side and a length of 10.0 m. The air velocity is measured at the center of the duct and assumed to be Vxo = 3.0 m/s. Assuming that the velocity at the boundary layer follows the profile * = sin total flow rate (m³/s) of air exiting the duct. = sin , Determine the Vxoo x =10 m *Hint: You will need to separately calculate the flow rate on the laminar sublayer and the turbulent core. Also there is no need to iterate in this problem since vxo is already given.
3. A square duct of air (p = 1.2 kg/m³; µ = 1.9x104 kg/m-s) is fed from a pressurized tank as shown and released into a room. The duct dimensions are 0.50 m on each side and a length of 10.0 m. The air velocity is measured at the center of the duct and assumed to be Vxo = 3.0 m/s. Assuming that the velocity at the boundary layer follows the profile * = sin total flow rate (m³/s) of air exiting the duct. = sin , Determine the Vxoo x =10 m *Hint: You will need to separately calculate the flow rate on the laminar sublayer and the turbulent core. Also there is no need to iterate in this problem since vxo is already given.
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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Transcribed Image Text:3. A square duct of air (p = 1.2 kg/m³; u = 1.9x104 kg/m-s) is fed from a pressurized tank as shown
and released into a room. The duct dimensions are 0.50 m on each side and a length of 10.0 m.
The air velocity is measured at the center of the duct and assumed to be vz = 3.0 m/s.
Assuming that the velocity at the boundary layer follows the profile;
total flow rate (m/s) of air exiting the duct.
= sin (, Determine the
Vzoo
x =10 m
*Hint: You will need to separately calculate the flow rate on the laminar sublayer and the
turbulent core. Also there is no need to iterate in this problem since vxo is already given.
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