APPENDIX 0 – Pre-requisite: Steady State Hydraulics
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Surge Analysis and the Wave Plan Method
Supplementary Material: Example Problems and Solutions
Appendix 0 – Problem 48
A0.48 What would be the resultant steady state flowrate if there is a partially throttled gate valve with a minor loss coefficient of 20 located close to reservoir B on the pipeline described in the previous question?
The energy equation described in the previous question is altered by adding the minor loss term associated with the partially throttled gate valve.
E A + E P – ΔH – kV 2 /(2g) = E B , where V is the pipe flow velocity and k is the minor loss coefficient of the partially throttled gate valve.
If A is pipe cross sectional area, then V = Q/A.
50 + 10.194/Q – (10.67 LQ 1.852 )/(C 1.852 D 4.87 ) – 20*Q 2 / (2g A 2 ) = 100
Solve for Q iteratively: Q = 0.165 m 3 /s
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