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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. Check FAQs
vf=hf0.157(2R)43Lp'n2
vf - Flow Velocity?hf - Head Loss?R - Pipe Radius?Lp' - Pipe Length?n - Manning Coefficient?

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

With values
With units
Only example

Here is how the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe equation looks like with Values.

Here is how the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe equation looks like with Units.

Here is how the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe equation looks like.

11.8279Edit=1.2Edit0.157(2200Edit)434.9Edit0.009Edit2
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Velocity of Flow in Pipe by Manning Formula given Radius of Pipe Solution

Follow our step by step solution on how to calculate Velocity of Flow in Pipe by Manning Formula given Radius of Pipe?

FIRST Step Consider the formula
vf=hf0.157(2R)43Lp'n2
Next Step Substitute values of Variables
vf=1.2m0.157(2200mm)434.9m0.0092
Next Step Convert Units
vf=1.2m0.157(20.2m)434.9m0.0092
Next Step Prepare to Evaluate
vf=1.20.157(20.2)434.90.0092
Next Step Evaluate
vf=11.8278704931143m/s
LAST Step Rounding Answer
vf=11.8279m/s

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

Variables
Functions
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.
Symbol: vf
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Head Loss
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.
Symbol: hf
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Pipe Radius
The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Pipe Length
Pipe Length describes the length of the pipe in which the liquid is flowing.
Symbol: Lp'
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Manning Coefficient
Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Syntax: sqrt(Number)

Other Formulas to find Flow Velocity

​Go Velocity of Flow in Pipe by Manning Formula
vf=(1n)(Rh23)(S12)
​Go Velocity of Flow in Pipe by Manning Formula given Diameter
vf=(0.397n)(Dp23)(S12)
​Go Velocity of Flow in Pipe given Head loss by Manning Formula
vf=hf0.157Dp43Lpn2

Other formulas in Manning's Formula category

​Go Radius of Pipe given Velocity of Flow in Pipe by Manning Formula
Rh=(vfnS12)32
​Go Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula
S=(vfnRh23)2
​Go Manning's Coefficient given Velocity of Flow
n=(Rh23)(S12)vf
​Go Hydraulic Gradient by Manning Formula given Diameter
S=(vfn0.397(Dp23))2

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

Velocity of Flow in Pipe by Manning Formula given Radius of Pipe evaluator uses Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)) to evaluate 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 vf symbol.

How to evaluate Velocity of Flow in Pipe by Manning Formula given Radius of Pipe using this online evaluator? To use this online evaluator for Velocity of Flow in Pipe by Manning Formula given Radius of Pipe, enter Head Loss (hf), Pipe Radius (R), Pipe Length (Lp') & Manning Coefficient (n) and hit the calculate button.

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

What is the formula to find Velocity of Flow in Pipe by Manning Formula given Radius of Pipe?
The formula of Velocity of Flow in Pipe by Manning Formula given Radius of Pipe is expressed as Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)). Here is an example- 11.82787 = sqrt((1.2*0.157*(2*0.2)^(4/3))/(4.9*0.009^2)).
How to calculate Velocity of Flow in Pipe by Manning Formula given Radius of Pipe?
With Head Loss (hf), Pipe Radius (R), Pipe Length (Lp') & Manning Coefficient (n) we can find Velocity of Flow in Pipe by Manning Formula given Radius of Pipe using the formula - Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2)). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Flow Velocity?
Here are the different ways to Calculate Flow Velocity-
  • Flow Velocity=(1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))OpenImg
  • Flow Velocity=(0.397/Manning Coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))OpenImg
  • Flow Velocity=sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))OpenImg
Can the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe be negative?
No, the Velocity of Flow in Pipe by Manning Formula given Radius of Pipe, measured in Speed cannot be negative.
Which unit is used to measure Velocity of Flow in Pipe by Manning Formula given Radius of Pipe?
Velocity of Flow in Pipe by Manning Formula given Radius of Pipe is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Flow in Pipe by Manning Formula given Radius of Pipe can be measured.
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