A series piping system may consist of two or more nodes, all in one continuous connection.
By virtue of the principle of the conservation of mass, the mass flow rate through the entire system remains constant regardless of the diameters of the individual pipes.
There are 3 common types of problems involving series piping systems:
Type I: Unknown Driving Force
Type II: Unknown Flow Rate
Type III: Unknown Line Size
Type I - This type of problem is straightforward and explicit
Correlations for pipe losses were developed for full pipes with circular cross-sections. Fortunately, we can extend their use to partially full pipe flows and noncircular cross sections using the concept of hydraulic diameter
the use of hydraulic diameter is an approximation that allows flow calculations to be treated as a full-flow-in-a-circular-pipe problem by using Dh in place of D
Type II - this type of problem uses iterative method
Reynolds number should be assumed as highly turbulent
Type III - this type of problem uses trial and error method
Pipe sizes are based on recommended velocities and general pressure drops
Capacity is first set by the demands of the project. There are three classifications at which capacity is specified:
Normal flow
Minimum flow
Rated flow
Normal flow - the material balance flow
Minimum flow - usually 50% of the normal flow
Rated flow - 10% greater than the normal flow for most services; 20% greater than the normal flow if sudden change is significant.
Pump hydraulics - Account for losses/gains in elevation, line losses, fittings and valves, and process equipment and instrumentation.