Hydraulics, Flow rate from Bernoulli Equation

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SUMMARY

The discussion focuses on calculating the flow rate in a Venturi meter using the Bernoulli Equation. The specific parameters include a petrol specific gravity (SG) of 0.85, diameters of 0.2m and 0.15m, and a height difference in the manometer of 0.012m with mercury (SG 13.6). The calculated pressure difference (Δp) is 1601 Pa, and the discharge coefficient (Cd) is 0.98. The expected flow rate is 39.3 l/s, derived from the relationship Q = A * U, where U is computed using Bernoulli's principles.

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Homework Statement


Flow rate in Venturi meter of Petrol (SG 0.85).

Diam1 - 0.2m Diam2 - 0.15m

Height Diff in manometer of Mercury (SG 13.6) 0.012m, so Δp= 13600 x 9.81 x 0.012 = 1601?

Cd = 0.98

Homework Equations


Bernoulli,
p/ρg + U2/2g + Z

U=Q/A


The Attempt at a Solution



Inserting and equating the values into bernoulli i ended up with,

0.192 = Q22/0.093 - Q12/0.058

Not sure if this i right because i can't seem to go anywhere from here.

THE GIVEN ANSWER IS 39.3 l/s

Thanks a lot for any help.
 
Last edited:
Physics news on Phys.org
Q1 equals Q2. How are the numbers 0.093 and 0.058 computed?
 
They are calculated from 2g x A after subbing u for Q/A.
 

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