How Do You Calculate Head Loss in a Venturi Meter Using Bernoulli's Equation?

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SUMMARY

The discussion centers on calculating head loss in a Venturi meter using Bernoulli's equation. The meter has an entrance diameter of 75mm and a throat diameter of 50mm. The flow rate is determined to be 0.011 m³/s based on a measurement of 0.614 m³ collected in 55.82 seconds. The pressure difference of 20 kN/m² between the inlet and throat is utilized to compute head loss due to friction, confirming the application of Bernoulli's equation in this scenario.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with Venturi meter operation
  • Ability to perform unit conversions and flow rate calculations
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  • Study the derivation and applications of Bernoulli's equation
  • Learn about friction loss calculations in fluid systems
  • Explore the principles of Venturi flow measurement
  • Investigate the impact of diameter changes on flow velocity
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Students in engineering, fluid mechanics professionals, and anyone involved in hydraulic system design or analysis will benefit from this discussion.

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Homework Statement


A venturi meter is being calibrated horizontally and has a diameter of 75mm at the entrance and 50mm at the throat . The flow rate is obtained by measuring the time required to collect certain amount of water . The average number of measurement gives 0.614m^3 of water in 55.82 second . If the pressure gauge at the inlet reads 20kN/ (m^2) more than the throat , calculate the head loss due to friction using Bernoulli's equation

Homework Equations

The Attempt at a Solution


for the first step , i have use the special formula(refer to the second and third attachment) to find the therorical velocity at point 2 ( assume no energy loss) , so , i got V2 = 7.07m/s[/B]

then i found the real flow rate = 0.011(m^3) / s

assuming no loss at point 1 , i equate A2V2 = A1V1
so , i got V1= 3.14m/s
then substitute all the values that i found into the Bernoulli's equation , i found the head loss . Is my working correct ? I don't have the answer with me.
 

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is the actual flow rate = 0.614/55.82 = 0.011(m^3) / s ?
 
anyone can try to reply ?
 
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