Calculating Forces and Efficiency of a Pressure Washer

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SUMMARY

This discussion focuses on calculating the forces and efficiency of a pressure washer, specifically addressing power output, efficiency metrics, nozzle diameter, and reaction force. The pressure washer delivers a specified flow rate in litres per hour and operates at a given pressure in bar, drawing a certain number of Watts. Key calculations include using the formula P = p x Q for power, determining efficiency with n = output/input, and calculating the nozzle's cross-sectional area using A = Q/v, where v is the velocity of the output jet derived from Vjet = sqrt(2 x g x p).

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with pressure measurements in bar and N/mm²
  • Knowledge of power calculations in Watts
  • Basic mathematics for area and velocity calculations
NEXT STEPS
  • Research "Hydraulic efficiency calculations" for deeper insights
  • Learn about "Fluid dynamics in pressure systems" for advanced applications
  • Explore "Nozzle design and flow rate optimization" for practical implementations
  • Study "Linear momentum in fluid mechanics" to understand reaction forces better
USEFUL FOR

Engineers, mechanical technicians, and anyone involved in the design or operation of pressure washers and hydraulic systems will benefit from this discussion.

Cret
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I'm having trouble with this question. Any guidance would be very welcome. I have left the values out because i want to do the maths myself.

Data
Pressure washer delivers xxx litres per hour of water
Pressure xx bar
Draws xxxx Watts of power

Question
a.) Show power in water flow is xxx watts
b.) Calculate efficiency between electrical input energy to hydraulic energy in water
c.) Calculate diameter of output nozzle of the washer
d.) Use the cross sectional area of the nozzle to calculate the reaction force exerted on the user

Attempt thus far:

P = Power (Watts)
p = Pressure (N/mm2)
Q = Flow rate m3/s
n = Efficiency
v = velocity (m/s)
A = Area
Vjet = velocity of jet
g = 9.81

For a.) I used

P = p x Q
Converting xxx litres per hour to litres per second and xx bar to N/mm2

For b.) I used

n = output / input = answer x 100%

For c.)

Initially I found the velocity of the output jet in meters per second

Vjet = sq root 2 x g x p = m/s

Then I rearranged

Q = v x A
A = Q/v

Which gave me the cross sectional area of the nozzle

For d.) I’m have a little trouble with the final part
 
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The reaction force is the force required to hold the power washer nozzle steady. Use Linear momentum, F= ma=mass flow rate X Velocity. You know Q in l/hr, the density of water and velocity of the water.
 
Many thanks this helped at lot!
 

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