Bernoulli's Equation and venturi meter

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SUMMARY

The discussion focuses on the application of Bernoulli's Equation in calculating fluid dynamics using a venturi meter. The venturi meter measures the speed of gas flowing through a pipe with a known cross-sectional area (A2 = 0.0600 m²) and density (ρ = 1.60 kg/m³). A pressure difference of 150 Pa between two sections of the meter is provided, allowing for the calculation of the gas speed (v2) and volume flow rate (Q). The user successfully resolves the problem using the continuity equation (A1v1 = A2v2) and Bernoulli's principle.

PREREQUISITES
  • Understanding of Bernoulli's Equation
  • Knowledge of fluid dynamics principles
  • Familiarity with the continuity equation
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation and applications of Bernoulli's Equation
  • Learn about the principles of fluid flow in venturi meters
  • Explore the relationship between pressure difference and flow rate
  • Investigate real-world applications of venturi meters in engineering
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Students in engineering and physics, fluid mechanics enthusiasts, and professionals working with fluid measurement technologies will benefit from this discussion.

keemosabi
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Homework Statement



A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0600 m2. The gas has a density of ρ = 1.60 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0300 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 150 Pa.

11_69.gif


(a) Find the speed v2 of the gas in the larger original pipe.
m/s
(b) Find the volume flow rate Q of the gas.
m3/s

Homework Equations





The Attempt at a Solution

 
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Hi keemosabi! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 
tiny-tim said:
Hi keemosabi! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
I'm pretty sure I need the equations
9e24fd91e27323e1af81f273ad09e1b7.png

and av = av, but I don't know where to go from there.
 
Anyone? :(

Nevermind, I got it. :)
 
Last edited:

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