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

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope of Channel = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/(Hydraulic Mean Depth)^(2/3))^2
s = ((Vm*n)/(m)^(2/3))^2
This formula uses 4 Variables
Variables Used
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.
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.
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
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((Vm*n)/(m)^(2/3))^2 --> ((9.78*0.015)/(10)^(2/3))^2
Evaluating ... ...
s = 0.000998911227134089
STEP 3: Convert Result to Output's Unit
0.000998911227134089 --> No Conversion Required
FINAL ANSWER
0.000998911227134089 0.000999 <-- Bed Slope of Channel
(Calculation completed in 00.020 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

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

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

What is hydraulic mean depth ?

In hydraulic mean depth, the area refers to 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.

How to Calculate Bed Slope of Sewer given Flow Velocity by Manning's Formula?

Bed Slope of Sewer given Flow Velocity by Manning's Formula calculator uses Bed Slope of Channel = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/(Hydraulic Mean Depth)^(2/3))^2 to calculate the Bed Slope of Channel, The Bed Slope of Sewer given Flow Velocity by Manning's Formula is defined as 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 is denoted by s symbol.

How to calculate Bed Slope of Sewer given Flow Velocity by Manning's Formula using this online calculator? To use this online calculator for Bed Slope of Sewer given Flow Velocity by Manning's Formula, enter Flow Velocity for Manning's Formula (Vm), Rugosity Coefficient (n) & Hydraulic Mean Depth (m) and hit the calculate button. Here is how the Bed Slope of Sewer given Flow Velocity by Manning's Formula calculation can be explained with given input values -> 0.000999 = ((9.78*0.015)/(10)^(2/3))^2.

FAQ

What is Bed Slope of Sewer given Flow Velocity by Manning's Formula?
The Bed Slope of Sewer given Flow Velocity by Manning's Formula is defined as the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage and is represented as s = ((Vm*n)/(m)^(2/3))^2 or Bed Slope of Channel = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/(Hydraulic Mean Depth)^(2/3))^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 & The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
How to calculate Bed Slope of Sewer given Flow Velocity by Manning's Formula?
The Bed Slope of Sewer given Flow Velocity by Manning's Formula is defined as the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage is calculated using Bed Slope of Channel = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/(Hydraulic Mean Depth)^(2/3))^2. To calculate Bed Slope of Sewer given Flow Velocity by Manning's Formula, you need Flow Velocity for Manning's Formula (Vm), Rugosity Coefficient (n) & Hydraulic Mean Depth (m). With our tool, you need to enter the respective value for Flow Velocity for Manning's Formula, Rugosity Coefficient & Hydraulic Mean Depth 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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