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Simple Flow Calculations

 

Open Channel Flow - Slope Area

What is now called the Slope Area Method of measuring flow in an open channel was originally developed by Robert Manning in the late 19th century.

 

Manning presented a formula to determine the velocity of the flow which was based on the hydraulic gradient and the roughness of the pipe or channel.

 

 

V = A0.667 S0.5

P 0.667 n

Where:   A =

S =
P =
n =

Cross sectional area

Hydraulic gradient

Wetted perimeter

Roughness coefficient

This can be combine with the basic flow equation

(Q =V A) to give:-


 

Q = A1.667 S0.5

P 0.667 n

 

 


For simple calculations the hydraulic gradient can be taken as the gradient of the channel. Tables of n values are available for different pipe and channel materials

“The rate of flow of a liquid moving in a pipe or an open channel is dependent on the velocity and the cross sectional area of the liquid”.  

The basic equation for most flow measurement applications is:-


Q = V A

 

   Where:-

   Q = Flow rate e.g. m3/s

   V = Velocity e.g. m/s

   A = Area e.g. m3/s

“An Open Channel is any pipe or conduit where the water surface is at atmospheric pressure”

The accuracy of the Slope Area Method depends on:-

 

1) A uniform flow pattern – a straight section of channel without bends is required.

2) Accurate determination of the n value

3) Accurate measurement of the cross sectional area.

 

The following flow calculations are available free of charge:-

 

Open channel Velocity Area Calculation

Open channel Flumes

Open channel V notch