Flow Velocity using Manning's formula Calculator

✖Conversion Factor is a numerical coefficient used to convert one set of units to another.ⓘ Conversion Factor [C]			+10% -10%
✖The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius [r_H]			+10% -10%
✖The Energy Loss refers to the dissipation or reduction of energy within a system or process.ⓘ Energy Loss [S]			+10% -10%
✖The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.ⓘ Roughness Coefficient of Conduit Surface [n_c]			+10% -10%

✖The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.ⓘ Flow Velocity using Manning's formula [V_f]

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Flow Velocity using Manning's formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface
V_f = (C*r_H^(2/3)*S^(1/2))/n_c
This formula uses 5 Variables

Variables Used

Flow Velocity - (Measured in Meter per Second) - The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.
Conversion Factor - Conversion Factor is a numerical coefficient used to convert one set of units to another.
Hydraulic Radius - (Measured in Meter) - The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Energy Loss - (Measured in Joule) - The Energy Loss refers to the dissipation or reduction of energy within a system or process.
Roughness Coefficient of Conduit Surface - The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.

STEP 1: Convert Input(s) to Base Unit

Conversion Factor: 0.028 --> No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required
Energy Loss: 2 Joule --> 2 Joule No Conversion Required
Roughness Coefficient of Conduit Surface: 0.017 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (C*r_H^(2/3)*S^(1/2))/n_c --> (0.028*0.33^(2/3)*2^(1/2))/0.017

Evaluating ... ...

V_f = 1.11232936114258

STEP 3: Convert Result to Output's Unit

1.11232936114258 Meter per Second --> No Conversion Required

FINAL ANSWER

1.11232936114258 ≈ 1.112329 Meter per Second <-- Flow Velocity

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Flow Velocity in Straight Sewers Calculators

Hydraulic Radius given Flow Velocity

LaTeX Go Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2)

Roughness Coefficient using Flow Velocity

LaTeX Go Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity

Flow Velocity using Manning's formula

LaTeX Go Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface

Energy Loss given Flow Velocity

LaTeX Go Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2

Flow Velocity using Manning's formula Formula

LaTeX Go

Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface
V_f = (C*r_H^(2/3)*S^(1/2))/n_c

How do you use Manning's Equation?

One common application of the equation is to compute the full pipe capacity for a given diameter and pipe slope. This is done with the Manning equation by setting the slope equal to the slope of the pipe, and then computing the resulting flow rate for a given pipe diameter.

How to Calculate Flow Velocity using Manning's formula?

Flow Velocity using Manning's formula calculator uses Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface to calculate the Flow Velocity, The Flow velocity using Manning's formula is defined as the rate of flow of water when we have a prior info of the roughness coefficient of the pipe material used, energy loss due to it and hydraulic radius. Flow Velocity is denoted by V_f symbol.

How to calculate Flow Velocity using Manning's formula using this online calculator? To use this online calculator for Flow Velocity using Manning's formula, enter Conversion Factor (C), Hydraulic Radius (r_H), Energy Loss (S) & Roughness Coefficient of Conduit Surface (n_c) and hit the calculate button. Here is how the Flow Velocity using Manning's formula calculation can be explained with given input values -> 59.03291 = (0.028*0.33^(2/3)*2^(1/2))/0.017.

FAQ

What is Flow Velocity using Manning's formula?

The Flow velocity using Manning's formula is defined as the rate of flow of water when we have a prior info of the roughness coefficient of the pipe material used, energy loss due to it and hydraulic radius and is represented as V_f = (C*r_H^(2/3)*S^(1/2))/n_c or Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface. Conversion Factor is a numerical coefficient used to convert one set of units to another, The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit, The Energy Loss refers to the dissipation or reduction of energy within a system or process & The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.

How to calculate Flow Velocity using Manning's formula?

The Flow velocity using Manning's formula is defined as the rate of flow of water when we have a prior info of the roughness coefficient of the pipe material used, energy loss due to it and hydraulic radius is calculated using Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface. To calculate Flow Velocity using Manning's formula, you need Conversion Factor (C), Hydraulic Radius (r_H), Energy Loss (S) & Roughness Coefficient of Conduit Surface (n_c). With our tool, you need to enter the respective value for Conversion Factor, Hydraulic Radius, Energy Loss & Roughness Coefficient of Conduit Surface 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 Conversion Factor, Hydraulic Radius, Energy Loss & Roughness Coefficient of Conduit Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

Flow Velocity = Water Flow/Cross-Sectional Area

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