Fluid Dynamics: Finding Speed in Venturi Tube

AI Thread Summary
The discussion revolves around solving a fluid dynamics problem involving a Venturi tube to find the fluid speed at one end of the tube. Given the pressure difference of 18.2 Pa and a cross-sectional area ratio of 0.478, Bernoulli's equation is applied to relate the velocities and pressures. The user attempts to manipulate the equation but struggles to find the correct fluid speed, expressing frustration over the time spent on the problem. The key equations involve the relationship between pressure, velocity, and area in the context of incompressible flow. Assistance is requested urgently due to an impending homework deadline.
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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