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Pipe Length describes the length of the pipe in which the liquid is flowing. Check FAQs
Lp'=hf0.157Dp43(nvf)2
Lp' - Pipe Length?hf - Head Loss?Dp - Diameter of Pipe?n - Manning Coefficient?vf - Flow Velocity?

Length of Pipe given Head loss by Manning Formula Example

With values
With units
Only example

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

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

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

4.7923Edit=1.2Edit0.1570.4Edit43(0.009Edit11.96Edit)2
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Length of Pipe given Head loss by Manning Formula Solution

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

FIRST Step Consider the formula
Lp'=hf0.157Dp43(nvf)2
Next Step Substitute values of Variables
Lp'=1.2m0.1570.4m43(0.00911.96m/s)2
Next Step Prepare to Evaluate
Lp'=1.20.1570.443(0.00911.96)2
Next Step Evaluate
Lp'=4.79233139149194m
LAST Step Rounding Answer
Lp'=4.7923m

Length of Pipe given Head loss by Manning Formula Formula Elements

Variables
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.
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.
Diameter of Pipe
Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Symbol: Dp
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.

Other Formulas to find Pipe Length

​Go Length of Pipe by Manning Formula given Radius of Pipe
Lp'=hf0.157(2R)43(nvf)2

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 Length of Pipe given Head loss by Manning Formula?

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

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

FAQs on Length of Pipe given Head loss by Manning Formula

What is the formula to find Length of Pipe given Head loss by Manning Formula?
The formula of Length of Pipe given Head loss by Manning Formula is expressed as Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2. Here is an example- 4.792331 = (1.2*0.157*0.4^(4/3))/(0.009*11.96)^2.
How to calculate Length of Pipe given Head loss by Manning Formula?
With Head Loss (hf), Diameter of Pipe (Dp), Manning Coefficient (n) & Flow Velocity (vf) we can find Length of Pipe given Head loss by Manning Formula using the formula - Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2.
What are the other ways to Calculate Pipe Length?
Here are the different ways to Calculate Pipe Length-
  • Pipe Length=(Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning Coefficient*Flow Velocity)^2OpenImg
Can the Length of Pipe given Head loss by Manning Formula be negative?
No, the Length of Pipe given Head loss by Manning Formula, measured in Length cannot be negative.
Which unit is used to measure Length of Pipe given Head loss by Manning Formula?
Length of Pipe given Head loss by Manning Formula is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Pipe given Head loss by Manning Formula can be measured.
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