Radius of Pipe given Head loss by Manning Formula Formula

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The Pipe Radius is the radius of the pipe through which the fluid is flowing. Check FAQs
R=(Lp'(nvf)20.157hf(2)43)34
R - Pipe Radius?Lp' - Pipe Length?n - Manning Coefficient?vf - Flow Velocity?hf - Head Loss?

Radius of Pipe given Head loss by Manning Formula Example

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With units
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Here is how the Radius of Pipe given Head loss by Manning Formula equation looks like with Values.

Here is how the Radius of Pipe given Head loss by Manning Formula equation looks like with Units.

Here is how the Radius of Pipe given Head loss by Manning Formula equation looks like.

203.3607Edit=(4.9Edit(0.009Edit11.96Edit)20.1571.2Edit(2)43)34
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Radius of Pipe given Head loss by Manning Formula Solution

Follow our step by step solution on how to calculate Radius of Pipe given Head loss by Manning Formula?

FIRST Step Consider the formula
R=(Lp'(nvf)20.157hf(2)43)34
Next Step Substitute values of Variables
R=(4.9m(0.00911.96m/s)20.1571.2m(2)43)34
Next Step Prepare to Evaluate
R=(4.9(0.00911.96)20.1571.2(2)43)34
Next Step Evaluate
R=0.203360651314976m
Next Step Convert to Output's Unit
R=203.360651314976mm
LAST Step Rounding Answer
R=203.3607mm

Radius of Pipe given Head loss by Manning Formula Formula Elements

Variables
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.
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.

Other formulas in Manning's Formula category

​Go Velocity of Flow in Pipe by Manning Formula
vf=(1n)(Rh23)(S12)
​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

How to Evaluate Radius of Pipe given Head loss by Manning Formula?

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

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

FAQs on Radius of Pipe given Head loss by Manning Formula

What is the formula to find Radius of Pipe given Head loss by Manning Formula?
The formula of Radius of Pipe given Head loss by Manning Formula is expressed as Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4). Here is an example- 203360.7 = ((4.9*(0.009*11.96)^2)/(0.157*1.2*(2)^(4/3)))^(3/4).
How to calculate Radius of Pipe given Head loss by Manning Formula?
With Pipe Length (Lp'), Manning Coefficient (n), Flow Velocity (vf) & Head Loss (hf) we can find Radius of Pipe given Head loss by Manning Formula using the formula - Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4).
Can the Radius of Pipe given Head loss by Manning Formula be negative?
No, the Radius of Pipe given Head loss by Manning Formula, measured in Length cannot be negative.
Which unit is used to measure Radius of Pipe given Head loss by Manning Formula?
Radius of Pipe given Head loss by Manning Formula is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Pipe given Head loss by Manning Formula can be measured.
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