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

✖Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head Loss [h_f]			+10% -10%
✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Pipe Radius [R]			+10% -10%
✖Pipe Length describes the length of the pipe in which the liquid is flowing.ⓘ Pipe Length [Lp_']			+10% -10%
✖Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.ⓘ Manning Coefficient [n]			+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 given Radius of Pipe [v_f]

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

Formula

`"v"_{"f"} = sqrt(("h"_{"f"}*0.157*(2*"R")^(4/3))/("Lp"_{"'"}*"n"^2))`

Example

`"11.82787m/s"=sqrt(("1.2m"*0.157*(2*"200mm")^(4/3))/("4.90m"*("0.009")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))
v_f = sqrt((h_f*0.157*(2*R)^(4/3))/(Lp_'*n^2))
This formula uses 1 Functions, 5 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 refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Pipe Length - (Measured in Meter) - Pipe Length describes the length of the pipe in which the liquid is flowing.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)
Pipe Length: 4.9 Meter --> 4.9 Meter No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_f = sqrt((h_f*0.157*(2*R)^(4/3))/(Lp_'*n^2)) --> sqrt((1.2*0.157*(2*0.2)^(4/3))/(4.9*0.009^2))

Evaluating ... ...

v_f = 11.8278704931143

STEP 3: Convert Result to Output's Unit

11.8278704931143 Meter per Second --> No Conversion Required

FINAL ANSWER

11.8278704931143 ≈ 11.82787 Meter per Second <-- Flow Velocity

(Calculation completed in 00.020 seconds)

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< 18 Manning's Formula Calculators

Velocity of Flow in Pipe given Head loss by Manning Formula

Go Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))

Manning's Coefficient given Head loss by Manning Formula

Go Manning Coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Pipe Length*Flow Velocity^2))

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

Go Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))

Manning's Coefficient by Manning Formula given Radius of Pipe

Go Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2))

Radius of Pipe given Head loss by Manning Formula

Go Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)

Diameter of Pipe given Head loss by Manning Formula

Go Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)

Head loss by Manning Formula

Go Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3))

Head loss by Manning Formula given Radius of Pipe

Go Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))

Length of Pipe given Head loss by Manning Formula

Go Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2

Length of Pipe by Manning Formula given Radius of Pipe

Go Pipe Length = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning Coefficient*Flow Velocity)^2

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

Go Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)

Velocity of Flow in Pipe by Manning Formula given Diameter

Go Flow Velocity = (0.397/Manning Coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))

Manning's Coefficient given Diameter of Pipe

Go Manning Coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))

Hydraulic Gradient by Manning Formula given Diameter

Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2

Velocity of Flow in Pipe by Manning Formula

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

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

Manning's Coefficient given Velocity of Flow

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

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

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

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

Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))
v_f = sqrt((h_f*0.157*(2*R)^(4/3))/(Lp_'*n^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 given Radius of Pipe?

Velocity of Flow in Pipe by Manning Formula given Radius of Pipe calculator uses Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)) to calculate the Flow Velocity, The Velocity of Flow in Pipe by Manning Formula given Radius of Pipe is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of radius of pipe and other parameters used. Flow Velocity is denoted by v_f symbol.

How to calculate Velocity of Flow in Pipe by Manning Formula given Radius of Pipe using this online calculator? To use this online calculator for Velocity of Flow in Pipe by Manning Formula given Radius of Pipe, enter Head Loss (h_f), Pipe Radius (R), Pipe Length (Lp_') & Manning Coefficient (n) and hit the calculate button. Here is how the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe calculation can be explained with given input values -> 11.82787 = sqrt((1.2*0.157*(2*0.2)^(4/3))/(4.9*0.009^2)).

FAQ

What is Velocity of Flow in Pipe by Manning Formula given Radius of Pipe?

The Velocity of Flow in Pipe by Manning Formula given Radius of Pipe is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of radius of pipe and other parameters used and is represented as v_f = sqrt((h_f*0.157*(2*R)^(4/3))/(Lp_'*n^2)) or Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)). Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system, The Pipe Radius is the radius of the pipe through which the fluid is flowing, Pipe Length describes the length of the pipe in which the liquid is flowing & Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.

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

The Velocity of Flow in Pipe by Manning Formula given Radius of Pipe is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of radius of pipe and other parameters used is calculated using Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)). To calculate Velocity of Flow in Pipe by Manning Formula given Radius of Pipe, you need Head Loss (h_f), Pipe Radius (R), Pipe Length (Lp_') & Manning Coefficient (n). With our tool, you need to enter the respective value for Head Loss, Pipe Radius, Pipe Length & Manning Coefficient 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 Head Loss, Pipe Radius, Pipe Length & Manning Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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