By B.J. Noye

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**Extra resources for Computational techniques for differential equations**

**Example text**

20) where Qb is the gas ﬂow rate at standard conditions and rb is the corresponding gas density. 22) where P1 and T1 are the pressure and temperature at pipe section 1. 002122 b2 b 1 1 D Tb P1 where u1 = Qb = D = Pb = Tb = P1 = T1 = Z1 = (USCS units) upstream gas velocity, ft/s gas ﬂow rate, measured at standard conditions, ft3/day (SCFD) pipe inside diameter, in. 29 contains ratios of pressures, any consistent unit can be used, such as kPa, MPa, or Bar. 7 EROSIONAL VELOCITY We have seen from the preceding section that the gas velocity is directly related to the ﬂow rate.

68446549 pseudo-reduced pressure pseudo-reduced temperature Other symbols have been defined earlier. 3 American Gas Association (AGA) Method The AGA method for the compressibility factor uses a complicated mathematical algorithm and, therefore, does not lend itself easily to manual calculations. Generally, a computer program is used to calculate the compressibility factor. 33) where gas properties include the critical temperature, critical pressure, and gas gravity. fm Page 24 Friday, April 1, 2005 3:46 PM 24 GAS PIPELINE HYDRAULICS The AGA-IGT Report No.

500 in. wall thickness, transports 200 MMSCFD. 000008 lb/ft-s. Calculate the friction factor using the Colebrook equation. Assume absolute pipe roughness = 600 µ in. 7 psia, respectively. 0 in. Absolute pipe roughness = 600 µ in. 0006 in. 7 × 19 10, 663, 452 f 1 This equation will be solved by successive iteration. 0101. 0101. 0101. Example 6 A natural gas pipeline, DN 500 with 12 mm wall thickness, transports 6 Mm3/day. 00012 Poise. fm Page 50 Friday, April 1, 2005 3:23 PM 50 GAS PIPELINE HYDRAULICS friction factor using the Colebrook equation.