Volume flow rate through air ducts

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SUMMARY

The discussion focuses on calculating the volume flow rate of air through two merging ducts, specifically two 8"x10" ducts merging into an 18"x14" duct. The average speed of air in the smaller ducts is established at 30 ft/s. To find the volume flow rate in the larger duct, one must first calculate the flow rates in the smaller ducts and then apply the principle of conservation of mass, ensuring that the total flow rate entering the larger duct equals the flow rate exiting it.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of volumetric flow rate calculations
  • Familiarity with duct dimensions and cross-sectional area calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the cross-sectional area of the 8"x10" and 18"x14" ducts
  • Learn how to apply the continuity equation in fluid dynamics
  • Explore the concept of volumetric flow rate and its units
  • Investigate the effects of duct shape on airflow and pressure loss
USEFUL FOR

Students studying fluid dynamics, engineers working with HVAC systems, and anyone involved in designing or analyzing air duct systems.

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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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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.
 

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