Engineering Schemes

Nomograph for calculating Reynolds number for compressible flow friction factor for clean steel and wrought iron pipe

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Figure 1. Reynolds number for compressible flow friction factor for clean steel and wrought iron pipe.

Figure 1. Reynolds number for compressible flow friction factor for clean steel and wrought iron pipe.

Background

The nomograph (Figure 1) permits calculation of the Reynolds number for compressible flow and the corresponding friction factor. It is based on the equation:

Re = 6.31— = 0.482 s dm dm where W = flow rate, lb/hr

Figure 2. Equivalent volume and weight flow rates of compressible fluids.

qs = volumetric flow rate, cubic ft/sec (at 14.7psia and 60°F) m = fluid viscosity, centipoise

If the flow rate is given in lb/hr, the nomograph can be used directly without resorting to Figure 2 to obtain qs. Figure 2 converts volume flow to weight flow rates if the specific gravity of the fluid is known.

Example. Natural gas at 250psig and 60 °F with a specific gravity of 0.75, flows through an 8-in. schedule 40 clean steel pipe at a rate of 1,200,000 cubic ft/hr at standard conditions.

Find the Reynolds number, and the friction factor.

At Sg = 0.75 obtain q = 69,000 from Figure 1, m = 0.011.

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Source

Flow of Fluids Through Valves, Fittings, and Pipes, Technical Paper No. 410, 3-19, Crane Company, Chicago, Illinois (1957).

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