g A smooth pipeline with a diameter of 5 cm carries glycerin at 20 degrees Celsius. The flow rate in the pipe is 0.01 m3/s. What is the friction factor

The friction factor is 0.303.

Explanation:

The flow velocity (), measured in meters per second, is determined by the following expression:

(1)

Where:

- Flow rate, measured in cubic meters per second.

- Diameter, measured in meters.

If we know that and , then the flow velocity is:

The density and dinamic viscosity of the glycerin at 20 ºC are and , then the Reynolds number (), dimensionless, which is used to define the flow regime of the fluid, is used:

(2)

If we know that , , and , then the Reynolds number is:

A pipeline is in turbulent flow when , otherwise it is in laminar flow. Given that flow has a laminar regime, the friction factor (), dimensionless, is determined by the following expression:

If we get that  , then the friction factor is:

The friction factor is 0.303.

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