In designing pipelines for transmitting natural gas to long distance one of the first steps is estimating the internal diameter of the pipeline. Many factors should be considered in internal diameter estimation. These include specific gravity and viscosity of the gas, volume of the gas to be transmitted, and maximum elevation of the route.
Gas flow formulas which are used for pipeline diameter estimation can be categorized into three main groups;
- Formulas in which the coefficient of friction is constant
- Formulas in which the coefficient of friction is a function of diameter
- Formulas in which the coefficient of friction is a function of Reynolds number
Generally the first group of these formulas leads to unacceptable estimation error and the formulas of third group need some calculation iterations due to their implicit nature.
One of the widely used formulas for estimating pipeline diameter is the Weymouth equation. In this equation it is assumed that the friction factor is just a function of pipeline diameter. The following equation represents the Weymouth equation in imperial units.
Where, D = Pipeline diameter, in. q = Gas flow rate, MMscfd (at 14.7 psia, 60 F) T = Average temperature, Rankin Tb = Base temperature, Rankin P1 = Inlet pressure, psia P2 = Outlet pressure, psia Pb = Base pressure, psia L = Pipeline length, miles z = Gas deviation factor at average temperature and pressure ? g = Gas gravity (air = 1) For a specific gas flow rate, the above equation can be solved to find minimum required pipeline diameter for gas transportation.
Following you can find link of a useful document which discusses type and accuracy all available formulas regarding this issue. The document has been issued by Pipeline Research Council International (PRCI).
Flow of Natural Gas Thru High Pressure Transmission Lines (Original Link) Flow of Natural Gas Thru High Pressure Transmission Lines (Mirror Link on This Site) Other Reference: Natural Gas Engineering Handbook, Dr. Guo, Gulf Publishing Company.