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Flow Velocity by Manning's Formula Calculator

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✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient [n]			+10% -10%
✖The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ Hydraulic Mean Depth [m]			+10% -10%
✖Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.ⓘ Bed Slope of Channel [s]			+10% -10%

✖Flow Velocity for Manning's Formula refers to the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s).ⓘ Flow Velocity by Manning's Formula [V_m]

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Flow Velocity by Manning's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel)
V_m = (1/n)*(m)^(2/3)*sqrt(s)
This formula uses 1 Functions, 4 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

Flow Velocity for Manning's Formula - (Measured in Meter per Second) - Flow Velocity for Manning's Formula refers to the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s).
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
Bed Slope of Channel - Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

STEP 1: Convert Input(s) to Base Unit

Rugosity Coefficient: 0.015 --> No Conversion Required
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required
Bed Slope of Channel: 0.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (1/n)*(m)^(2/3)*sqrt(s) --> (1/0.015)*(10)^(2/3)*sqrt(0.001)

Evaluating ... ...

V_m = 9.7853284508138

STEP 3: Convert Result to Output's Unit

9.7853284508138 Meter per Second --> No Conversion Required

FINAL ANSWER

9.7853284508138 ≈ 9.785328 Meter per Second <-- Flow Velocity for Manning's Formula

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

Rugosity Coefficient given Flow Velocity by Manning's Formula

LaTeX Go Rugosity Coefficient = (1/Flow Velocity for Manning's Formula)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel)

Flow Velocity by Manning's Formula

LaTeX Go Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel)

Hydraulic Mean Depth given Flow Velocity by Manning's Formula

LaTeX Go Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2)

Bed Slope of Sewer given Flow Velocity by Manning's Formula

LaTeX Go Bed Slope of Channel = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/(Hydraulic Mean Depth)^(2/3))^2

Flow Velocity by Manning's Formula Formula

LaTeX Go

Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel)
V_m = (1/n)*(m)^(2/3)*sqrt(s)

What is rugosity coefficient ?

The rugosity coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.

How to Calculate Flow Velocity by Manning's Formula?

Flow Velocity by Manning's Formula calculator uses Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel) to calculate the Flow Velocity for Manning's Formula, The Flow Velocity by Manning's Formula is defined as the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s). Flow Velocity for Manning's Formula is denoted by V_m symbol.

How to calculate Flow Velocity by Manning's Formula using this online calculator? To use this online calculator for Flow Velocity by Manning's Formula, enter Rugosity Coefficient (n), Hydraulic Mean Depth (m) & Bed Slope of Channel (s) and hit the calculate button. Here is how the Flow Velocity by Manning's Formula calculation can be explained with given input values -> 9.785328 = (1/0.015)*(10)^(2/3)*sqrt(0.001).

FAQ

What is Flow Velocity by Manning's Formula?

The Flow Velocity by Manning's Formula is defined as the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s) and is represented as V_m = (1/n)*(m)^(2/3)*sqrt(s) or Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel). The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance, The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels & Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

How to calculate Flow Velocity by Manning's Formula?

The Flow Velocity by Manning's Formula is defined as the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s) is calculated using Flow Velocity for Manning's Formula = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel). To calculate Flow Velocity by Manning's Formula, you need Rugosity Coefficient (n), Hydraulic Mean Depth (m) & Bed Slope of Channel (s). With our tool, you need to enter the respective value for Rugosity Coefficient, Hydraulic Mean Depth & Bed Slope of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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