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

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Homework Help Overview

The discussion revolves around calculating head loss in a venturi meter using Bernoulli's equation. The problem involves a horizontal venturi meter with specified diameters and flow rate measurements, focusing on the relationship between pressure differences and flow velocities.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate theoretical and actual velocities using flow rate measurements and apply Bernoulli's equation to find head loss. Some participants question the calculation of the actual flow rate based on the provided measurements.

Discussion Status

The discussion is ongoing, with participants exploring the calculations and questioning the accuracy of the flow rate derived from the measurements. There is no explicit consensus on the correctness of the original poster's approach or calculations.

Contextual Notes

The original poster mentions a lack of access to the answer for verification, indicating uncertainty in their calculations. The problem setup includes specific measurements and conditions that may influence the interpretation of results.

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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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