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Pressure Loss in Pipes connected in Series or Parallel

Calculate pressure loss in pipes connected in series or parallel.

Pipes in Series

For pipes connected in series the pressure loss is the sum of the individual losses:

dp = dp1 + dp2 + .. + dpn                                   (1)

where

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)

where

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.

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