Manning's Coefficient given Head loss by Manning Formula Calculator

✖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.ⓘ Head Loss [h_f]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%
✖Pipe Length describes the length of the pipe in which the liquid is flowing.ⓘ Pipe Length [Lp_']			+10% -10%
✖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.ⓘ Flow Velocity [v_f]			+10% -10%

✖Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.ⓘ Manning's Coefficient given Head loss by Manning Formula [n]

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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))/(Pipe Length*Flow Velocity^2))
n = sqrt((h_f*0.157*D_p^(4/3))/(Lp_'*v_f^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 dimensionless and varies depending on the type of channel or surface through which water flows.
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.
Pipe Length - (Measured in Meter) - Pipe Length 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
Pipe Length: 4.9 Meter --> 4.9 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((h_f*0.157*D_p^(4/3))/(Lp_'*v_f^2)) --> sqrt((1.2*0.157*0.4^(4/3))/(4.9*11.96^2))

Evaluating ... ...

n = 0.00890057144130676

STEP 3: Convert Result to Output's Unit

0.00890057144130676 --> No Conversion Required

FINAL ANSWER

0.00890057144130676 ≈ 0.008901 <-- Manning Coefficient

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula

LaTeX 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

LaTeX Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)

Manning's Coefficient given Velocity of Flow

LaTeX Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Manning's Coefficient given Head loss by Manning Formula Formula

LaTeX Go

Manning Coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Pipe Length*Flow Velocity^2))
n = sqrt((h_f*0.157*D_p^(4/3))/(Lp_'*v_f^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))/(Pipe Length*Flow Velocity^2)) to calculate the Manning Coefficient, The Manning's Coefficient given Head loss by Manning Formula is defined as the value of Manning's Coefficient when we have prior information of head loss and 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 (h_f), Diameter of Pipe (D_p), Pipe Length (Lp_') & Flow Velocity (v_f) 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 -> 0.008901 = sqrt((1.2*0.157*0.4^(4/3))/(4.9*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 is defined as the value of Manning's Coefficient when we have prior information of head loss and other parameters used and is represented as n = sqrt((h_f*0.157*D_p^(4/3))/(Lp_'*v_f^2)) or Manning Coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Pipe Length*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, Pipe Length 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 is defined as the value of Manning's Coefficient when we have prior information of head loss and other parameters used is calculated using Manning Coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Pipe Length*Flow Velocity^2)). To calculate Manning's Coefficient given Head loss by Manning Formula, you need Head Loss (h_f), Diameter of Pipe (D_p), Pipe Length (Lp_') & Flow Velocity (v_f). With our tool, you need to enter the respective value for Head Loss, Diameter of Pipe, Pipe Length & 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, Pipe Length & 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))/(Pipe Length*Flow Velocity^2))

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