Manning's Coefficient given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2))
n = sqrt((hf*0.157*Dp^(4/3))/(Lp*vf^2))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Manning coefficient - Manning coefficient is a constant given by manning and depend on type of pipe.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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.
STEP 1: Convert Input(s) to Base Unit
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = sqrt((hf*0.157*Dp^(4/3))/(Lp*vf^2)) --> sqrt((1.2*0.157*0.4^(4/3))/(2.5*11.96^2))
Evaluating ... ...
n = 0.0124608000178295
STEP 3: Convert Result to Output's Unit
0.0124608000178295 --> No Conversion Required
FINAL ANSWER
0.0124608000178295 0.012461 <-- Manning coefficient
(Calculation completed in 00.004 seconds)

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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

Manning's Coefficient given Head loss by Manning Formula Formula

Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2))
n = sqrt((hf*0.157*Dp^(4/3))/(Lp*vf^2))

What is Manning's Coefficient ?

Manning's coefficient is a measure of the roughness of a channel or conduit in hydraulic engineering, influencing the calculation of flow velocity in open channel flow equations.

How to Calculate Manning's Coefficient given Head loss by Manning Formula?

Manning's Coefficient given Head loss by Manning Formula calculator uses Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2)) to calculate the Manning coefficient, The Manning's Coefficient given Head loss by Manning Formula calculates the value of Manning's Coefficient when we have prior information of other parameters used. Manning coefficient is denoted by n symbol.

How to calculate Manning's Coefficient given Head loss by Manning Formula using this online calculator? To use this online calculator for Manning's Coefficient given Head loss by Manning Formula, enter Head Loss (hf), Diameter of Pipe (Dp), Length of Pipe (Lp) & Flow Velocity (vf) and hit the calculate button. Here is how the Manning's Coefficient given Head loss by Manning Formula calculation can be explained with given input values -> 0.012461 = sqrt((1.2*0.157*0.4^(4/3))/(2.5*11.96^2)).

FAQ

What is Manning's Coefficient given Head loss by Manning Formula?
The Manning's Coefficient given Head loss by Manning Formula calculates the value of Manning's Coefficient when we have prior information of other parameters used and is represented as n = sqrt((hf*0.157*Dp^(4/3))/(Lp*vf^2)) or Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2)). Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Length of Pipe describes the length of the pipe in which the liquid is flowing & 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 Manning's Coefficient given Head loss by Manning Formula?
The Manning's Coefficient given Head loss by Manning Formula calculates the value of Manning's Coefficient when we have prior information of other parameters used is calculated using Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2)). To calculate Manning's Coefficient given Head loss by Manning Formula, you need Head Loss (hf), Diameter of Pipe (Dp), Length of Pipe (Lp) & Flow Velocity (vf). With our tool, you need to enter the respective value for Head Loss, Diameter of Pipe, Length of Pipe & Flow Velocity 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 Manning coefficient?
In this formula, Manning coefficient uses Head Loss, Diameter of Pipe, Length of Pipe & Flow Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Manning coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity
  • Manning coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
  • Manning coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Flow Velocity^2))
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