Pipes in Series
For pipes connected in series the pressure loss is the sum of the individual losses:
dp = dp1 + dp2 + .. + dpn (1)
dp = total pressure loss (Pa, psi)
dp1..n = individual pressure loss in each pipe (Pa, psi)
The mass flow rate is the same in all pipes:
m = m1 = m2 = .... = mn (1b)
m = mass flow (kg/s, lb/s)
Pipes in Parallel
For pipes connected in parallel the pressure loss is the same in all pipes:
dp = dp1 = dp2 = .... = dpn (2)
The total mass flow is the sum of the flow in each pipe:
m = m1 + m2 + .. + mn (2b)
The pressure loss in the equations above can be substituted with a generic expression for pressure loss like the D'Arcy-Weisbach equation.
The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.
The Darcy-Weisbach equation can be used to calculate the major pressure and head loss due to friction in ducts, pipes or tubes.
Friction head loss (ftH2O per 100 ft pipe) in water pipes can be estimated with the empirical Hazen-Williams equation.
Major and minor loss in pipes, tubes and duct systems.
Adding head and flowrate for pumps arranged in parallel vs. serial.