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Nirupt
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Homework Statement
For the pipe reducer shown in Figure 6.27 in your textbook, the pressure at point A is 45.8 psig and the pressure at B is 39.5 psig. Calculate the velocity of flow, in ft/s, of the water at point B.
State your answer to one decimal place. Example: 25.6
Homework Equations
http://img28.imageshack.us/img28/4754/7m2c.png
Which is the equation we are using, P is pressure, Z is height (which is 0 for both A, and B), g is 32.2 ft/s^2 and gamma (specific weight, is 62.4 lb/ft^3 I believe)
Image of the problem: http://img802.imageshack.us/img802/9700/byqt.jpg Ignore the book problem as the numbers have been changed.
Remember to divide pressure by gamma
Remember to calculate velocities at points A and B Velocity = flow rate/Area
Elevation at point A is zero and Elevation at point B is zero
Do forget to take the square root to calculate the velocity
The Attempt at a Solution
I know since B is a small tube the velocity at point B must be higher than point A. I have the answer outcome to be 31.6 ft/s but I'm not totally sure that is correct.
I have two unknowns though which is both velocities.. and it's confusing me because the only way to cope with that is the equation VaAa = VbAb which Velocity is V and Area is A, finding the area using the equation ∏*D2/4 I have converted into ft and obtained both areas which are..
Aa = .0218 ft^3
Ab = .00545 ft^3
I have tried putting one unknown and plugging either velocity in for the other.. but it doesn't make sense to me. Plus the flow rate is not given, and I cannot find it because I have neither velocity numbers.. overall there appears to be 2 unknowns, flow RATE, and VelocityA, and we are solving for Velocity B.
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