Pipes in Series and Parallel

Pressure loss in pipes in series and parallel

Pipes in Series

The pressure loss is the sum of the individual losses:

dp = dp1 + dp2 + .. + dpn    (1)

where

p = total pressure loss (Pa, psi)

p1..n = individual pressure loss (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

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 drops in the equations above can be substituted with a generic expression for pressure drop like the D'Arcy-Weisbach equation

Related Topics

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

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