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

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Formula

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Hydraulic Mean Depth given Flow Velocity by Manning's Formula

Formula

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

Example

9.991833 m = {(\frac{9.78 m/s \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

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Hydraulic Mean Depth given Flow Velocity by Manning's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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
Rugosity Coefficient: 0.015 --> No Conversion Required
Bed Slope of Channel: 0.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = ((V_m*n)/sqrt(s))^(3/2) --> ((9.78*0.015)/sqrt(0.001))^(3/2)

Evaluating ... ...

m = 9.99183309166399

STEP 3: Convert Result to Output's Unit

9.99183309166399 Meter --> No Conversion Required

FINAL ANSWER

9.99183309166399 ≈ 9.991833 Meter <-- Hydraulic Mean Depth

(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

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Formula

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

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 Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

Hydraulic Mean Depth given Flow Velocity by Manning's Formula calculator uses Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2) to calculate the Hydraulic Mean Depth, The Hydraulic Mean Depth given Flow Velocity by Manning's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter. Hydraulic Mean Depth is denoted by m symbol.

How to calculate Hydraulic Mean Depth given Flow Velocity by Manning's Formula using this online calculator? To use this online calculator for Hydraulic Mean Depth given Flow Velocity by Manning's Formula, enter Flow Velocity for Manning's Formula (V_m), Rugosity Coefficient (n) & Bed Slope of Channel (s) and hit the calculate button. Here is how the Hydraulic Mean Depth given Flow Velocity by Manning's Formula calculation can be explained with given input values -> 9.991833 = ((9.78*0.015)/sqrt(0.001))^(3/2).

FAQ

What is Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

The Hydraulic Mean Depth given Flow Velocity by Manning's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter and is represented as m = ((V_m*n)/sqrt(s))^(3/2) or Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2). 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 Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance & 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 Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

The Hydraulic Mean Depth given Flow Velocity by Manning's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter is calculated using Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2). To calculate Hydraulic Mean Depth given Flow Velocity by Manning's Formula, you need Flow Velocity for Manning's Formula (V_m), Rugosity Coefficient (n) & Bed Slope of Channel (s). With our tool, you need to enter the respective value for Flow Velocity for Manning's Formula, Rugosity Coefficient & 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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