Two large water reservoirs with a water level difference of 12 m are joined together with two pipes connected in series so that water flows from the upper reservoir to the lower one. The pipe exiting the upper reservoir is 200 mm in diameter, 300 m long, and has a friction factor of 0.024. The other pipe that enters the lower reservoir is 100 mm diameter, 100 m long and has a friction factor of 0.032. Taking into account all the shock losses (i.e. sudden entrance, contraction, and sudden exit) and losses due to friction, (i) Calculate the flow rate between the reservoirs using the K values given in the following table, and also, (ii) Evaluate all losses (i.e. due to pipes friction and fittings) for the given system. Show all your workings. Typical K values Feature 450 Elbow K Value 0.3 900 elbow 0.6 906 bend large 0.3 radius Tee - along line of 0.3 flow Tee - through side 0.8 Gate valve fully 0.2 open Sudden contraction in pipe Note: (Kv₂²/2g) 0.25 Feature Sudden enlargement in pipe 1 Note: K(V1-V2)2/2g Sudden entrance (Tank to pipe) Sudden exit (from pipe to tank) Globe Valve (3/4 open) Globe Valve (open) Foot valve with strainer K Value Screwed socket 0.5 1 8 6 3 0.03
Two large water reservoirs with a water level difference of 12 m are joined together with two pipes connected in series so that water flows from the upper reservoir to the lower one. The pipe exiting the upper reservoir is 200 mm in diameter, 300 m long, and has a friction factor of 0.024. The other pipe that enters the lower reservoir is 100 mm diameter, 100 m long and has a friction factor of 0.032. Taking into account all the shock losses (i.e. sudden entrance, contraction, and sudden exit) and losses due to friction, (i) Calculate the flow rate between the reservoirs using the K values given in the following table, and also, (ii) Evaluate all losses (i.e. due to pipes friction and fittings) for the given system. Show all your workings. Typical K values Feature 450 Elbow K Value 0.3 900 elbow 0.6 906 bend large 0.3 radius Tee - along line of 0.3 flow Tee - through side 0.8 Gate valve fully 0.2 open Sudden contraction in pipe Note: (Kv₂²/2g) 0.25 Feature Sudden enlargement in pipe 1 Note: K(V1-V2)2/2g Sudden entrance (Tank to pipe) Sudden exit (from pipe to tank) Globe Valve (3/4 open) Globe Valve (open) Foot valve with strainer K Value Screwed socket 0.5 1 8 6 3 0.03
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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