# Vertical Pipes - Discharge Flow vs. Height of Discharge Flow

## Volume flow from vertical water pipes

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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 d^{2}))^{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}m^{3}/s = 0.227 m^{3}/h = 0.06309 dm^{3}(litre)/s = 2.228x10^{-3}ft^{3}/s = 0.1337 ft^{3}/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 d ^{2} h^{1/2} (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 *

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