Velocity of Flow in Pipe by Manning Formula Calculator

✖Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.ⓘ Manning Coefficient [n]			+10% -10%
✖Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.ⓘ Hydraulic Radius [R_h]			+10% -10%
✖Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient [S]			+10% -10%

✖Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.ⓘ Velocity of Flow in Pipe by Manning Formula [v_f]

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Velocity of Flow in Pipe by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
v_f = (1/n)*(R_h^(2/3))*(S^(1/2))
This formula uses 4 Variables

Variables Used

Flow Velocity - (Measured in Meter per Second) - Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.
Hydraulic Gradient - Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

Manning Coefficient: 0.009 --> No Conversion Required
Hydraulic Radius: 0.1 Meter --> 0.1 Meter No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_f = (1/n)*(R_h^(2/3))*(S^(1/2)) --> (1/0.009)*(0.1^(2/3))*(0.25^(1/2))

Evaluating ... ...

v_f = 11.9690816112882

STEP 3: Convert Result to Output's Unit

11.9690816112882 Meter per Second --> No Conversion Required

FINAL ANSWER

11.9690816112882 ≈ 11.96908 Meter per Second <-- Flow Velocity

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula

LaTeX Go Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))

Radius of Pipe given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)

Manning's Coefficient given Velocity of Flow

LaTeX Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Velocity of Flow in Pipe by Manning Formula Formula

LaTeX Go

Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
v_f = (1/n)*(R_h^(2/3))*(S^(1/2))

What is Flow Velocity ?

Flow velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.

How to Calculate Velocity of Flow in Pipe by Manning Formula?

Velocity of Flow in Pipe by Manning Formula calculator uses Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)) to calculate the Flow Velocity, The Velocity of Flow in Pipe by Manning Formula is defined as the value of velocity of flow calculated using Manning's formula, when we have prior information of other parameters used. Flow Velocity is denoted by v_f symbol.

How to calculate Velocity of Flow in Pipe by Manning Formula using this online calculator? To use this online calculator for Velocity of Flow in Pipe by Manning Formula, enter Manning Coefficient (n), Hydraulic Radius (R_h) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Velocity of Flow in Pipe by Manning Formula calculation can be explained with given input values -> 11.96908 = (1/0.009)*(0.1^(2/3))*(0.25^(1/2)).

FAQ

What is Velocity of Flow in Pipe by Manning Formula?

The Velocity of Flow in Pipe by Manning Formula is defined as the value of velocity of flow calculated using Manning's formula, when we have prior information of other parameters used and is represented as v_f = (1/n)*(R_h^(2/3))*(S^(1/2)) or Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)). Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows, Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter & Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.

How to calculate Velocity of Flow in Pipe by Manning Formula?

The Velocity of Flow in Pipe by Manning Formula is defined as the value of velocity of flow calculated using Manning's formula, when we have prior information of other parameters used is calculated using Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)). To calculate Velocity of Flow in Pipe by Manning Formula, you need Manning Coefficient (n), Hydraulic Radius (R_h) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Manning Coefficient, Hydraulic Radius & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Flow Velocity?

In this formula, Flow Velocity uses Manning Coefficient, Hydraulic Radius & Hydraulic Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Flow Velocity = (0.397/Manning Coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))
Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))

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