Velocity of Flow in Pipe by Manning Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
vf = (1/n)*(Rh^(2/3))*(S^(1/2))
This formula uses 4 Variables
Variables Used
Flow Velocity - (Measured in Meter per Second) - Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Manning coefficient - Manning coefficient is a constant given by manning and depend on type of pipe.
Hydraulic Radius - (Measured in Meter) - Hydraulic radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.
Hydraulic Gradient - Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.
STEP 1: Convert Input(s) to Base Unit
Manning coefficient: 0.009 --> No Conversion Required
Hydraulic Radius: 0.1 Meter --> 0.1 Meter No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vf = (1/n)*(Rh^(2/3))*(S^(1/2)) --> (1/0.009)*(0.1^(2/3))*(0.25^(1/2))
Evaluating ... ...
vf = 11.9690816112882
STEP 3: Convert Result to Output's Unit
11.9690816112882 Meter per Second --> No Conversion Required
FINAL ANSWER
11.9690816112882 11.96908 Meter per Second <-- Flow Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

18 Manning's Formula Calculators

Velocity of Flow in Pipe given Head loss by Manning Formula
Go Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient given Head loss by Manning Formula
Go Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2))
Velocity of Flow in Pipe by Manning Formula given Radius of Pipe
Go Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient by Manning Formula given Radius of Pipe
Go Manning coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Flow Velocity^2))
Radius of Pipe given Head loss by Manning Formula
Go Pipe Radius = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)
Diameter of Pipe given Head loss by Manning Formula
Go Diameter of Pipe = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)
Head loss by Manning Formula
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3))
Head loss by Manning Formula given Radius of Pipe
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))
Length of Pipe given Head loss by Manning Formula
Go Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2
Length of Pipe by Manning Formula given Radius of Pipe
Go Length of Pipe = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning coefficient*Flow Velocity)^2
Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula
Go Diameter of Pipe = ((Flow Velocity*Manning coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)
Velocity of Flow in Pipe by Manning Formula given Diameter
Go Flow Velocity = (0.397/Manning coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Manning's Coefficient given Diameter of Pipe
Go Manning coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Hydraulic Gradient by Manning Formula given Diameter
Go Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2
Velocity of Flow in Pipe by Manning Formula
Go Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
Radius of Pipe given Velocity of Flow in Pipe by Manning Formula
Go Hydraulic Radius = ((Flow Velocity*Manning coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)
Manning's Coefficient given Velocity of Flow
Go Manning coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity
Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula
Go Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(Hydraulic Radius^(2/3)))^2

Velocity of Flow in Pipe by Manning Formula Formula

Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
vf = (1/n)*(Rh^(2/3))*(S^(1/2))

What is Flow Velocity ?

Flow velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.

How to Calculate Velocity of Flow in Pipe by Manning Formula?

Velocity of Flow in Pipe by Manning Formula calculator uses Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)) to calculate the Flow Velocity, The Velocity of Flow in Pipe by Manning Formula calculates the value of velocity of flow when we have prior information of other parameters used. Flow Velocity is denoted by vf symbol.

How to calculate Velocity of Flow in Pipe by Manning Formula using this online calculator? To use this online calculator for Velocity of Flow in Pipe by Manning Formula, enter Manning coefficient (n), Hydraulic Radius (Rh) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Velocity of Flow in Pipe by Manning Formula calculation can be explained with given input values -> 11.96908 = (1/0.009)*(0.1^(2/3))*(0.25^(1/2)).

FAQ

What is Velocity of Flow in Pipe by Manning Formula?
The Velocity of Flow in Pipe by Manning Formula calculates the value of velocity of flow when we have prior information of other parameters used and is represented as vf = (1/n)*(Rh^(2/3))*(S^(1/2)) or Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)). Manning coefficient is a constant given by manning and depend on type of pipe, Hydraulic radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter & Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.
How to calculate Velocity of Flow in Pipe by Manning Formula?
The Velocity of Flow in Pipe by Manning Formula calculates the value of velocity of flow when we have prior information of other parameters used is calculated using Flow Velocity = (1/Manning coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)). To calculate Velocity of Flow in Pipe by Manning Formula, you need Manning coefficient (n), Hydraulic Radius (Rh) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Manning coefficient, Hydraulic Radius & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Flow Velocity?
In this formula, Flow Velocity uses Manning coefficient, Hydraulic Radius & Hydraulic Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Flow Velocity = (0.397/Manning coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
  • Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning coefficient^2))
  • Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Manning coefficient^2))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!