Volume flow rate through air ducts

The volume flow rate is the cross-sectional area of the duct multiplied by the average velocity of the flow in that section. Since the two ducts merge into one larger duct, you will need to add the individual volume flow rates together to find the overall volume flow rate in the single 18"x14" duct. Finally, to find the average speed of air in the 18"x14" duct, you can use the overall volume flow rate and the cross-sectional area of the duct to calculate the average velocity. In summary, the volume flow rate in the 18"x14" section of the duct is 900 ft^3/s and the average speed of air in the 18"x14" duct is 15 ft/s.
  • #1
thatshowifeel
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Homework Statement


Air flows through two 8"x10" ducts that merge into a single 18"x14" duct. (Ducts are in 3D)
The average speed of air in each of the 8"x10" ducts is 30 ft/s.
What is the volume flow rate, of air in the 18"x14" section of the duct? Express the volume flow rate in ft^3/s
What is the average speed of air in the 18"x14" duct?

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Homework Equations





The Attempt at a Solution


I really don't know where to start on this one :frown:
 
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  • #2
Given the dimensions of the ducts and the velocity of the flow thru them, how would you calculate the volumetric flow rate in each of the ducts? Read the problem carefully and look at the diagram.
 

Related to Volume flow rate through air ducts

What is volume flow rate?

Volume flow rate is the amount of fluid (in this case, air) that passes through a given point in a specified amount of time. It is typically measured in cubic meters per second (m3/s) or cubic feet per minute (CFM).

Why is volume flow rate important in air ducts?

Volume flow rate is important in air ducts because it determines the amount of air that can be delivered to a specific space. Proper volume flow rate ensures that the air circulation and air quality are maintained at an optimal level.

How is volume flow rate calculated through air ducts?

Volume flow rate through air ducts is calculated by multiplying the cross-sectional area of the duct by the average air velocity. The formula is Q = A * V, where Q is the volume flow rate, A is the cross-sectional area, and V is the air velocity.

What factors can affect the volume flow rate through air ducts?

The volume flow rate through air ducts can be affected by various factors such as the size and shape of the duct, the type of material used for the duct, the air temperature and density, and any obstructions or bends in the duct.

How can volume flow rate be controlled in air ducts?

Volume flow rate through air ducts can be controlled by adjusting the air velocity, changing the size or shape of the duct, or using dampers or valves to regulate the flow. It is important to ensure that the volume flow rate is within the recommended range for the specific air duct system.

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