Fluid Dynamics: Finding Speed in Venturi Tube

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SUMMARY

The discussion focuses on calculating the fluid speed in a Venturi tube using Bernoulli's equation. Given the cross-sectional area ratio A2/A1 = 0.478, a pressure difference of P1 - P2 = 18.2 Pa, and a fluid density of 1.08 kg/m³, the user attempts to derive the speed v2. The user correctly identifies the relationship between velocities v1 and v2 based on the area ratio but struggles to complete the calculation. The solution requires substituting values into the simplified Bernoulli's equation.

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  • Understanding of Bernoulli's equation
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  • Ability to manipulate algebraic equations
  • Familiarity with Venturi tube applications
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  • Study the derivation and applications of Bernoulli's equation
  • Learn about the principles of fluid flow in Venturi tubes
  • Explore how to calculate flow rates using area ratios
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Students studying fluid dynamics, engineers working with fluid systems, and anyone needing to understand flow measurement techniques in Venturi tubes.

victorlee2
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Homework Statement


The horizontal constricted pipe illustrated in
lee (vl3765) – UTHW#34-Dluid Dynamics1 – hamaguchi – (32001) 3
the figure (a Venturi tube), can be used to
measure flow velocities in an incompressible
fluid.
The ratio for the cross section areas of the
tube is A2/A1 = 0.478, the difference in the
pressures is P1 −P2 = dP = 18.2 Pa , and the
density of the fluid is 1.08 kg/m3.
Find the speed of the fluid near the right
hand end of the tube (i.e., find v2).


Homework Equations


Bernoulli's equation

The Attempt at a Solution


alright so i wrote out the bernoulli's equation P1 + 1/2rov1^2 + rogh1 = P2 + 1/2rov2^2 + rogh2

so they told us that P1-_2 = 18.2 so i moved P2 to the other side, thus making it 18.2. then since A2/A1 = .478 that means v1/v2 = .478 as well. doing that i found out that v1 = v2*.478. so i just plugged all these founds into the equation. also since height is = 0m, both sides with the h's are crossed out leaving P1 + 1/2 rov1^2 = P2 + 1/2rov2^2. i cannot get the answer and this homework is due in 1/2 an hr. I've been working on this for 4 hours straight no joke. PLEASE HELP
 
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