Pipes in Series and Parallel

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Pipes in Series

The pressure loss is the sum of the individual losses:

dp = dp₁ + dp₂ + .. + dp_n    (1)

where

p = total pressure loss (Pa, psi)

p_1..n = individual pressure loss (Pa, psi)

The mass flow rate is the same in all pipes:

m = m₁ = m₂ = .... = m_n   (1b)

where

m = mass flow (kg/s, lb/s)

Pipes in Parallel

The pressure loss is the same in all pipes:

dp = dp₁ = dp₂ = .... = dp_n   (2)

The total mass flow is the sum of the flow in each pipe:

m = m₁ + m₂ + .. + m_n    (2b)

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

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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.

Related Documents

• D'Arcy-Weisbach Equation for Pressure and Head Loss - The D'Arcy-Weisbach formula can be used to calculate pressure or head loss due to friction in ducts, pipes and tubes
• Hazen-Williams Equation - calculating Friction Head Loss in Water Pipes - Friction head loss (ft_H2O per 100 ft pipe) in water pipes can be estimated by using the empirical Hazen-Williams equation
• Pumps in Parallel or Serial Connection - For pumps in serial - add head, for pumps in parallel - add flowrates
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