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Water flows through a horizontal pipe of cross-sectional are 10.cm^2 at a pressure of 0.25 atm. The flow rate is 1.0 L/s. At a valve, the effective cross-sectional area of the pipe is reduced to 5.0 cm^2. What is the pressure at the valve?
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Added Sun, 26 Jul '15
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P1=25331.25pa, A1=0.001m^2, Q=9.9E-4m^3/s, V1=.99m/s

A2=0.0005m^2, V2=1.98m/s,

Useing the equation Q=AV to find velocitys. Now that all the units are consistant plug in to Bernoulli Equation for frictionless flow .

P1/density+V^2/2+gZ1=P2/density+V^2/2+gZ2

Since this is a horizontal pipe flow problem the gZ portion of the equation drops out and now just solve for P2.

Once you have P2 convert back to atms.        P2=0.235atms
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Added Sun, 26 Jul '15
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