Supplementary Material, Appendix 0 – A0.48

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?

Solution:

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 – kV²/(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*Q² / (2g A²) = 100

Solve for Q iteratively: Q = 0.165 m³/s

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