# Pipes - in Series or Parallel

## 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.

## Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves velocity, pressure, density and temperature as functions of space and time

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