Manning's Coefficient by Manning Formula given Radius of Pipe 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%
✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Pipe Radius [R]			+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 by Manning Formula given Radius of Pipe [n]

⎘ Copy

👎

Formula

✖

Manning's Coefficient by Manning Formula given Radius of Pipe

Formula

n = \sqrt{\frac{h f \cdot 0.157 \cdot {(2 \cdot R)}^{\frac{4}{3}}}{Lp' \cdot {v f}^{2}}}

Example

0.008901 = \sqrt{\frac{1.2 m \cdot 0.157 \cdot {(2 \cdot 200 mm)}^{\frac{4}{3}}}{4.90 m \cdot {11.96 m/s}^{2}}}

Calculator

LaTeX

Reset

👍

Download Manning's Formula Formulas PDF PDF Image

Manning's Coefficient by Manning Formula given Radius of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2))
n = sqrt((h_f*0.157*(2*R)^(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.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid 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
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)
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*(2*R)^(4/3))/(Lp_'*v_f^2)) --> sqrt((1.2*0.157*(2*0.2)^(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)

You are here -

Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Manning's Formula » Manning's Coefficient by Manning Formula given Radius of Pipe

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Manning's Formula Calculators

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 by Manning Formula given Radius of Pipe Formula

Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2))
n = sqrt((h_f*0.157*(2*R)^(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 by Manning Formula given Radius of Pipe?

Manning's Coefficient by Manning Formula given Radius of Pipe calculator uses Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2)) to calculate the Manning Coefficient, The Manning's Coefficient by Manning Formula given Radius of Pipe is defined as the value of Manning's Coefficient when we have prior information of radius of pipe and other parameters required. Manning Coefficient is denoted by n symbol.

How to calculate Manning's Coefficient by Manning Formula given Radius of Pipe using this online calculator? To use this online calculator for Manning's Coefficient by Manning Formula given Radius of Pipe, enter Head Loss (h_f), Pipe Radius (R), Pipe Length (Lp_') & Flow Velocity (v_f) and hit the calculate button. Here is how the Manning's Coefficient by Manning Formula given Radius of Pipe calculation can be explained with given input values -> 0.008901 = sqrt((1.2*0.157*(2*0.2)^(4/3))/(4.9*11.96^2)).

FAQ

What is Manning's Coefficient by Manning Formula given Radius of Pipe?

The Manning's Coefficient by Manning Formula given Radius of Pipe is defined as the value of Manning's Coefficient when we have prior information of radius of pipe and other parameters required and is represented as n = sqrt((h_f*0.157*(2*R)^(4/3))/(Lp_'*v_f^2)) or Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(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, The Pipe Radius is the radius of the pipe through which the fluid 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 by Manning Formula given Radius of Pipe?

The Manning's Coefficient by Manning Formula given Radius of Pipe is defined as the value of Manning's Coefficient when we have prior information of radius of pipe and other parameters required is calculated using Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2)). To calculate Manning's Coefficient by Manning Formula given Radius of Pipe, you need Head Loss (h_f), Pipe Radius (R), Pipe Length (Lp_') & Flow Velocity (v_f). With our tool, you need to enter the respective value for Head Loss, Pipe Radius, 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, Pipe Radius, 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*Diameter of Pipe^(4/3))/(Pipe Length*Flow Velocity^2))

Home

FREE PDFs

🔍 Search