Flow Velocity by Manning's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope)
Vf = (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 - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
Bed slope - Bed slope of the sewer under consideration.
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: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf = (1/n)*(m)^(2/3)*sqrt(s) --> (1/0.015)*(10)^(2/3)*sqrt(2)
Evaluating ... ...
Vf = 437.613191963647
STEP 3: Convert Result to Output's Unit
437.613191963647 Meter per Second --> No Conversion Required
FINAL ANSWER
437.613191963647 437.6132 Meter per Second <-- Flow Velocity
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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4 Manning's Formula Calculators

Rugosity Coefficient given Flow Velocity by Manning's Formula
Go Rugosity coefficient = (1/Flow Velocity)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope)
Flow Velocity by Manning's Formula
Go Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope)
Hydraulic Mean Depth given Flow Velocity by Manning's Formula
Go Hydraulic mean depth = ((Flow Velocity*Rugosity coefficient)/sqrt(Bed slope))^(3/2)
Bed Slope of Sewer given Flow Velocity by Manning's Formula
Go Bed slope = ((Flow Velocity*Rugosity coefficient)/(Hydraulic mean depth)^(2/3))^2

Flow Velocity by Manning's Formula Formula

Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope)
Vf = (1/n)*(m)^(2/3)*sqrt(s)

What is velocity of flow ?

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 Flow Velocity by Manning's Formula?

Flow Velocity by Manning's Formula calculator uses Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope) to calculate the Flow Velocity, The Flow Velocity by Manning's Formula is a vector field used to mathematically describe the motion of a continuum. Flow Velocity is denoted by Vf 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 (s) and hit the calculate button. Here is how the Flow Velocity by Manning's Formula calculation can be explained with given input values -> 437.6132 = (1/0.015)*(10)^(2/3)*sqrt(2).

FAQ

What is Flow Velocity by Manning's Formula?
The Flow Velocity by Manning's Formula is a vector field used to mathematically describe the motion of a continuum and is represented as Vf = (1/n)*(m)^(2/3)*sqrt(s) or Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope). Rugosity coefficient depend upon the type of channel surface, The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width & Bed slope of the sewer under consideration.
How to calculate Flow Velocity by Manning's Formula?
The Flow Velocity by Manning's Formula is a vector field used to mathematically describe the motion of a continuum is calculated using Flow Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(2/3)*sqrt(Bed slope). To calculate Flow Velocity by Manning's Formula, you need Rugosity coefficient (n), Hydraulic mean depth (m) & Bed slope (s). With our tool, you need to enter the respective value for Rugosity coefficient, Hydraulic mean depth & Bed slope 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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