How Do You Calculate the Energy Conversion Efficiency of a Blower-Nozzle System?

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SUMMARY

The discussion focuses on calculating the energy conversion efficiency of a blower-nozzle system producing air at a velocity of 30 m/s with a density of 1.1 kg/m³ and a nozzle diameter of 0.15 m. The input power for the system is specified as 1 horsepower (hp). Participants emphasize the need to convert flow rate from kg/s to power units to apply the efficiency formula, which is defined as power out divided by power in. The key calculations involve determining the flow rate and kinetic energy of the air exiting the nozzle.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically flow rate calculations.
  • Familiarity with energy conversion concepts, particularly kinetic energy.
  • Knowledge of power units and conversions, including horsepower to watts.
  • Basic proficiency in algebraic manipulation of equations.
NEXT STEPS
  • Calculate flow rate using the formula: flow rate = density × area × velocity.
  • Convert horsepower to watts for accurate power input calculations.
  • Determine the kinetic energy of the air using the formula: KE = 0.5 × mass × velocity².
  • Research energy efficiency metrics in blower systems for further insights.
USEFUL FOR

Students in engineering or physics, mechanical engineers, and professionals involved in fluid mechanics or energy efficiency analysis of blower systems.

mgibson
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Homework Statement



The problem asks to find the energy conversion efficiency of a blower-nozzle combination that produces a velocity of 30m/s for air with a density of 1.1kg/mcubed. The nozzle has a diameter of .15m

input power is 1 hp

Homework Equations



given the flow rate = (density)(Area)(velocity)

The Attempt at a Solution



I know how to find the efficiency but do not know how to convert flow rate in (kg/s) to Power units in order to use (power out/power in) formula

Thanks for your help!
 
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Can you figure out the volume of air that exits the nozzle in 1 second?

And from that, can you use the velocity, and mass of that volume, to get it's kinetic energy?
 

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