Calculating Air Speeds in a Venturi Tube Using Conservation of Fluid Mass

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SUMMARY

The discussion focuses on calculating air speeds in a Venturi tube using the principle of conservation of fluid mass. The diameters of the narrow and wider sections are provided, along with the height of the mercury column measured at 1.00 mm. The relevant equations include Bernoulli's equation, P + 1/2pv^2 + pgh = constant, and the continuity equation, A1v1 = A2v2. The calculated areas for the entrance and exit of the Venturi tube are A1 = π * (2.25e-4) and A2 = π * (2.5e-5).

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Familiarity with the continuity equation in fluid dynamics
  • Basic knowledge of fluid density concepts
  • Ability to perform area calculations for circular sections
NEXT STEPS
  • Learn how to apply Bernoulli's equation in various fluid flow scenarios
  • Study the principles of fluid dynamics related to Venturi tubes
  • Explore the effects of fluid density on flow rates
  • Investigate practical applications of Venturi tubes in engineering
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Students in physics or engineering courses, educators teaching fluid dynamics, and professionals involved in fluid mechanics applications will benefit from this discussion.

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Homework Statement



Air is blown through a circular and horizontal Venturi tube, as shown in the figure below. The diameters of the narrow and wider sections of the tube are given, and the height h of the mercury column is measured to be 1.00 mm. What are the air speeds in the wider and the narrower sections of the tube? The density of mercury is 13,600 kg/m3. (Assume the density of air is 1.29 kg/m3.)

http://www.webassign.net/hawkpse1/12-figure-058.gif

Homework Equations


P + 1/2pv^2 + pgh = constant

A1v1 = A2v2

The Attempt at a Solution



A1= pi*2.25e-4
A2= pi*2.5e-5
 
Last edited:
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What's the matter? Is your calculator broken? At least calculate the areas of the entrance and the exit of the venturi.
 

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