Problem Water is pumped through a vertical steel pipe to an elevated tank. D = 10 cm, P₁= 1.6 MPa, L = 80 m, Q = 0.02 m³/s. Find: Pressure at point 80 m above pump, "P₂=?" Properties: Water (20 °C), Table A.5: y = 9790 N/m³. Sol. Tips: First Compute "Re", and "Relative roughness". Plot them on chart below to mark value of friction coefficient "f=?". Then Compute friction head loss "hf=?", and compute pressure by Bernoulli equation! Resistance coefficient, f 0.100 0.090 0.080 0.070 0.060 0.050 0.040 0.030 0.025 0.020 0.015 0.010 0.009 0.008 Laminar flow 10³ 64 Re 2 10³ 2 4 4 6 8104 6 8104 2 4 2 Ref1/2 D32 (28hy)1/2 4 Fully rough turbulent flow 6 8105 6 8105 2 Smooth pipes L 2 Re = VD 4 6 8105 2 6 8105 2 468 468107 2 - 4 0.05 0.04 0.03 0.02 0.015 0.01 0.00810 0.006 0.004 0.002 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001 Relative roughness, D 6 810
Basic Terminologies
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Common Units Of Pressure
Pressure is something that we experience in daily life but fail to recognize it as our body is so accustomed to it. For example, the atmospheric air applies pressure on our body, but we don’t feel it as we are exposed to it since birth and our body is habitual to it. When we write using a pen, we need to apply some pressure over the pen to make it start writing. But these are our day-to-day activity which we fail to recognize
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