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Rugosity Coefficient given Flow Velocity by Manning's Formula Calculator

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✖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 for Manning's Formula [V_m]			+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%

✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient given Flow Velocity by Manning's Formula [n]

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Formula

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Rugosity Coefficient given Flow Velocity by Manning's Formula

Formula

n = (\frac{1}{V m}) \cdot {(m)}^{\frac{2}{3}} \cdot \sqrt{s}

Example

0.015008 = (\frac{1}{9.78 m/s}) \cdot {(10 m)}^{\frac{2}{3}} \cdot \sqrt{0.001}

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Rugosity Coefficient given Flow Velocity by Manning's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
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).
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

Flow Velocity for Manning's Formula: 9.78 Meter per Second --> 9.78 Meter per Second 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

n = (1/V_m)*(m)^(2/3)*sqrt(s) --> (1/9.78)*(10)^(2/3)*sqrt(0.001)

Evaluating ... ...

n = 0.0150081724705733

STEP 3: Convert Result to Output's Unit

0.0150081724705733 --> No Conversion Required

FINAL ANSWER

0.0150081724705733 ≈ 0.015008 <-- Rugosity Coefficient

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

Rugosity Coefficient given Flow Velocity by Manning's Formula

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

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

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

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

Rugosity Coefficient given Flow Velocity by Manning's Formula Formula

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

What is flow velocity ?

Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed. Flow velocity in fluids is the vector field that provides the velocity of fluids at a certain time and position.

How to Calculate Rugosity Coefficient given Flow Velocity by Manning's Formula?

Rugosity Coefficient given Flow Velocity by Manning's Formula calculator uses Rugosity Coefficient = (1/Flow Velocity for Manning's Formula)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel) to calculate the Rugosity Coefficient, The Rugosity Coefficient given Flow Velocity by Manning's Formula is a coefficient which represents the roughness or friction applied to the flow by the channel. Rugosity Coefficient is denoted by n symbol.

How to calculate Rugosity Coefficient given Flow Velocity by Manning's Formula using this online calculator? To use this online calculator for Rugosity Coefficient given Flow Velocity by Manning's Formula, enter Flow Velocity for Manning's Formula (V_m), Hydraulic Mean Depth (m) & Bed Slope of Channel (s) and hit the calculate button. Here is how the Rugosity Coefficient given Flow Velocity by Manning's Formula calculation can be explained with given input values -> 0.015008 = (1/9.78)*(10)^(2/3)*sqrt(0.001).

FAQ

What is Rugosity Coefficient given Flow Velocity by Manning's Formula?

The Rugosity Coefficient given Flow Velocity by Manning's Formula is a coefficient which represents the roughness or friction applied to the flow by the channel and is represented as n = (1/V_m)*(m)^(2/3)*sqrt(s) or Rugosity Coefficient = (1/Flow Velocity for Manning's Formula)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel). 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), 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 Rugosity Coefficient given Flow Velocity by Manning's Formula?

The Rugosity Coefficient given Flow Velocity by Manning's Formula is a coefficient which represents the roughness or friction applied to the flow by the channel is calculated using Rugosity Coefficient = (1/Flow Velocity for Manning's Formula)*(Hydraulic Mean Depth)^(2/3)*sqrt(Bed Slope of Channel). To calculate Rugosity Coefficient given Flow Velocity by Manning's Formula, you need Flow Velocity for Manning's Formula (V_m), Hydraulic Mean Depth (m) & Bed Slope of Channel (s). With our tool, you need to enter the respective value for Flow Velocity for Manning's Formula, 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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