Page 158 - Pipeline Rules of Thumb Handbook

Hydrostatic Testing 145

Basis for chart development C = Compressibility factor for water, cuin./cu
in./psig
2
dP =[ B - 2 a] [ D ¥ (1 - v ) Et C] a = Coefficient of expansion for steel,
+
-5
1.116 ¥ 10 per °C
where dP = psig change per °C t = Pipe wall thickness, in.
B = Coefficient of expansion of water T = Temperature, °C
D = Pipe OD, in
E = Modulus of elasticity for steel, 30 ¥ 10 6 B ¥ 10 =-64.268 + 17.0105 ¥ T - 0.20369
6
2
v = Poisson’s ratio, 0.3 ¥ T + 0.0016048 ¥ T 3
Compressibility factor for water

Pressure Range 1,450psig to 2,925psig

Temperature Compressibility Factor
(°C) (cuin./cuin./psig)

0 3.35 ¥ 10 -6
10 3.14 ¥ 10 -6
20 3.01 ¥ 10 -6
50 2.89 ¥ 10 -6

From PIPECALC TM 2.0: Practical Pipeline Hydraulics, Gulf Publishing
Company, Houston, Texas.