=

FORMERLY X-D-1114

106-0-41

VALUES OF

D'

2

4000

2.4

2.2

2.0

1.8

1.7

1.6

11.5כ

1.4

1.3

1.2

DIAMETER MULTIPLIER B

1.1

a-Velocity of Pressure Wave along Pipe, Feet per second - See graph.

Vo Velocity in Pipe near gate, corresponding to Ho and Qo. Feef per second.

Ho Initial Steady Head near qate, corresponding to Vo, Feet.

Qo-Initial Steady Flow in pipe prior to start of gate closure corresponding to Ho, Cu. Ft. per sec.
T = Time of gate closure travel. Seconds.

L = Length of pipe from qate to forebay or other point of relief. Feet.

Fig.10 Par.2.10

"

CHART SHOWING MAXIMUM PRESSURE RISE WITH UNIFORM GATE MOTION
AND COMPLETE CLOSURE BASED ON ELASTIC-WATER-COLUMN THEORY
NOTE: Ratio of Pressure Rise "h" to Initial Steady Head Ho determined from relation 2 KP=h/Ho
From Mech. Eng. Magazine.

FORMERLY X-D-589

Where a Velocity of Travel of Pressure Wave. Ft. per Sec. k- Bulk Modulus of Elasticity of Water 294,000 Lbs. per Sq. In.

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E = Young's Modulus for Pipe Walls Lbs. per Sq. In. approx. for Steel.

b = Thickness of Pipe Walls, Inches. Inside Diameter of Pipe, Inches.

d

29,400,000

106-D-29