What is the air speed after passing through a nozzle?

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SUMMARY

The airspeed of air passing through a nozzle can be calculated using the principle of conservation of mass, specifically the continuity equation for incompressible flow. In this case, with an initial diameter of 4 feet and an airspeed of 100 mph, the airspeed after passing through a 2-foot diameter orifice increases significantly. The airspeed after the nozzle can be determined to be 400 mph, based on the area ratio and the initial conditions provided.

PREREQUISITES
  • Understanding of the continuity equation in fluid dynamics
  • Basic knowledge of incompressible flow principles
  • Familiarity with area calculations for circular pipes
  • Ability to perform unit conversions (e.g., feet to mph)
NEXT STEPS
  • Study the continuity equation in fluid dynamics
  • Learn about Bernoulli's principle and its applications
  • Explore the effects of compressibility in gas flow
  • Investigate practical applications of nozzle design in engineering
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Engineers, physicists, and students studying fluid dynamics, particularly those interested in airflow and nozzle design.

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If a circular pipe with diameter 4ft has an airspeed of 100mph which then funnels through an orface(sp?) with diameter 2ft, what is is the air speed after the air passes though the hole?
Any help would be very much appreciated. I am completely lost...
 
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