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finding fluid flow rate in a pipe, given pressure difference, length, and diameter |
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| Nov8-09, 04:11 AM | #1 |
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finding fluid flow rate in a pipe, given pressure difference, length, and diameter
1. The problem statement, all variables and given/known data
Oil flowing through a pipe, measured to be 135kPa 15m from the end and 88kPa discharging from the end. The diameter of the pipe is 1.5cm, the density of the oil is 876kg/m^3, and the dynamic viscosity is 0.24kg/m*s. Find flow rate for: a) horizontal b) inclined 8 degrees c) declined 8 degrees 2. Relevant equations [tex] Re=V*D*\rho / \mu [/tex] [tex] \Delta P = h_L * \rho *g [/tex] [tex] h_L = f*(L/D)*(V^2)/(2*g) [/tex] [tex] f=64/Re [/tex] (laminar flow only) where: Re = Reynolds Number rho = density[tex] f=64/Re [/tex] mu = dynamic viscosity delta P = pressure loss h_L = head loss L = length D = diameter f = Darcy friction coefficient 3. The attempt at a solution I solved for Re in terms of V, and for V in terms of f, and then I guessed f=0.0150 for a starting point. I got an Re of 13.8, indicating laminar flow, so I used [tex] f=64/Re [/tex] and iterated. However, my answer finally converged on f=12734.79 which doesn't look at all right. Am I doing something wrong? 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution |
| Nov9-09, 11:53 PM | #2 |
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Probably unit related. The equation for delta_p(your second equation) will have units in pascal.
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| Nov10-09, 09:05 AM | #3 |
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CS |
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