Water Hammer in Hydraulic Pipe Lines; Being a Theoretical And Experimental Investigation of the Rise Or Fall in Pressure in a Pipe Line, Caused By the Gradual Or Sudden Closing Or Opening of a Valve; With a Chapter On the Speed Regulation of Hydraulic Tur

Cover Water Hammer in Hydraulic Pipe Lines; Being a Theoretical And Experimental Investigation of the Rise Or Fall in Pressure in a Pipe Line, Caused By the Gradual Or Sudden Closing Or Opening of a Valve; With a Chapter On the Speed Regulation of Hydraulic Tur
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the valve opening and velocity of eflSux at the latter instant.
This only holds so long as the valve is opening. Suppose the valve to be stopped at an instant when its opening is «„', * Here 6 = ^ . ^ and c=2oA as on page 10.
26 WATER HAMMER IN HYDRAULIC PIPE LIPTES the velocity of efflux at this instant being calculated to be v^'.
Let a,! -i-a^n.
From this time onwards -3^=1 • -3^1 and equation (9') be- comes^=-[V{l+.»l}_,,] So that /A-+^-r/* where c =: — ^—3- ; k m m Integrating we get 1 , ^/
...c'+^o , j_ t 2^/e' °^ V?-«o ifc'' When f=0, i.e. immediately the valve comes to rest, »o=*'o'- Using this to determine D, we finally get as the velocity of efflux after t seconds from the stoppage of the valve.
It will be noted that as t increases, this tends to the limit m CHAPTEK II Application of the foregoing work to the theory of turbine regulation — Regulation of a Pelton wheel — of a Pressure turbine — Speed • regulation assuming uniform acceleration in the pipe line — Effect of a stand pipe on speed regulation.


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