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(Solved): Example 5.10: The vertical, commercial steel pipe system shown in the following figure (D =300 mm t ...
Example 5.10: The vertical, commercial steel pipe system shown in the following figure (D =300mm throughout) carries 0.82m3/s of water. Find the discharge in each pipe and the pressure drop between A and B if B is 100m higher than A. - Neglect minor losses. - Kin. viscosity is 1.52×10−6m2/s. - Assume fully turbulent flow (use ultimate f ). Area of the pipes =π/4(0.3)2=0.0707m2e/D=0.046mm/300mm=0.00015⇒fwatimate =0.013 (Moody)
To solve the problem, we can use the Darcy-Weisbach equation to calculate the pressure drop and the discharge in each pipe. The equation is as follows:?P = f * (L/D) * (? * V^2) / 2Where:?P is the pressure dropf is the friction factorL is the length of the pipeD is the diameter of the pipe? is the density of waterV is the velocity of waterLet's calculate the pressure drop between points A and B:Given data:Diameter (D) = 300 mmWater flow rate = 0.82 m^3/sKinematic viscosity (?) = 1.52 × 10^-6 m^2/s