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# Vertical Pipes - Discharge Height vs. Volume Flow

## Volume flow and discharge height from vertical water pipes.

Maximum vertical discharge height for water flow from vertical oriented pipe or tube:

#### Vertical Discharge - Imperial Units

• coefficient k = 0.96

#### Vertical Discharge - Metric Units

The maximum height for water discharge from vertical pipe can calculated as:

h = (Q / (5.68 k d2))2                                (1)

where

h = discharge height (inches)

Q = flow (gpm)

k = coefficient ranging 0.87 - 0.97

d = diameter of pipe (inches)

• 1 in (inch) = 25.4 mm
• 1 gal (US)/min = 6.30888x10-5 m3/s = 0.227 m3/h = 0.06309 dm3(litre)/s = 2.228x10-3 ft3/s = 0.1337 ft3/min = 0.8327 Imperial gal (UK)/min

### Measuring Flow - the Trajectory Method

The discharge from a vertical oriented pipe can be calculated by rearranging eq. (1) to

Q = 5.68 k d2 h1/2                      (1b)

The challenge with this flow measurement method may be to measure the height h.

#### Example - Measuring Flow by measuring the Discharge from a Vertical pipe

The discharge height from a vertical oriented 4 inches pipe is 3 ft (36 inches). With a coefficient k = 0.97 the flow from the pipe can be estimated to

Q = 5.68 0.97 (4 in)2 (36 in)1/2

= 529 gpm

## Related Topics

• ### Flow Measurement

Flow metering principles - Orifice, Venturi, Flow Nozzles, Pitot Tubes, Target, Variable Area, Positive Displacement, Turbine, Vortex, Electromagnetic, Ultrasonic Doppler, Ultrasonic Time-of-travel, Mass Coriolis, Mass Thermal, Weir V-notch, Flume Parshall and Sluice Gate flow meters and more.
• ### Water Systems

Hot and cold water service systems - design properties, capacities, sizing and more.

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## Citation

• The Engineering ToolBox (2009). Vertical Pipes - Discharge Height vs. Volume Flow. [online] Available at: https://www.engineeringtoolbox.com/discharge-height-vertical-pipe-d_1529.html [Accessed Day Month Year].

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12.8.9