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Length of Pipe given Head loss by Manning Formula Formula

GoLength of Pipe by Manning Formula given Radius of Pipe Formula

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Pipe Length describes the length of the pipe in which the liquid is flowing. Check FAQs

Lp' = \frac{h f \cdot 0.157 \cdot {D p}^{\frac{4}{3}}}{{(n \cdot v f)}^{2}}

Lp_' - Pipe Length?h_f - Head Loss?D_p - Diameter of Pipe?n - Manning Coefficient?v_f - Flow Velocity?

Length of Pipe given Head loss by Manning Formula Example

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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.

4.7923 = \frac{1.2 \cdot 0.157 \cdot {0.4}^{\frac{4}{3}}}{{(0.009 \cdot 11.96)}^{2}}

4.7923m = \frac{1.2m \cdot 0.157 \cdot {0.4m}^{\frac{4}{3}}}{{(0.009 \cdot 11.96m/s)}^{2}}

4.7923 = \frac{1.2 \cdot 0.157 \cdot {0.4}^{\frac{4}{3}}}{{(0.009 \cdot 11.96)}^{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' = \frac{h f \cdot 0.157 \cdot {D p}^{\frac{4}{3}}}{{(n \cdot v f)}^{2}}

Next Step Substitute values of Variables

∴

Lp' = \frac{1.2m \cdot 0.157 \cdot {0.4m}^{\frac{4}{3}}}{{(0.009 \cdot 11.96m/s)}^{2}}

Next Step Prepare to Evaluate

∴

Lp' = \frac{1.2 \cdot 0.157 \cdot {0.4}^{\frac{4}{3}}}{{(0.009 \cdot 11.96)}^{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.

Formulas to find Pipe Length

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: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

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.

Formulas to find Manning Coefficient

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: v_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity

Other Formulas to find Pipe Length

Go Length of Pipe by Manning Formula given Radius of Pipe

Lp' = \frac{h f \cdot 0.157 \cdot {(2 \cdot R)}^{\frac{4}{3}}}{{(n \cdot v f)}^{2}}

Other formulas in Manning's Formula category

Go Velocity of Flow in Pipe by Manning Formula

v f = (\frac{1}{n}) \cdot ({R h}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})

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

R h = {(\frac{v f \cdot n}{S^{\frac{1}{2}}})}^{\frac{3}{2}}

Go Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

S = {(\frac{v f \cdot n}{{R h}^{\frac{2}{3}}})}^{2}

Go Manning's Coefficient given Velocity of Flow

n = \frac{({R h}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})}{v f}

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 (h_f), Diameter of Pipe (D_p), Manning Coefficient (n) & Flow Velocity (v_f) 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 (h_f), Diameter of Pipe (D_p), Manning Coefficient (n) & Flow Velocity (v_f) 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)^2

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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Length of Pipe given Head loss by Manning Formula Formula

​GoLength of Pipe by Manning Formula given Radius of Pipe Formula

Length of Pipe given Head loss by Manning Formula Example

Length of Pipe given Head loss by Manning Formula Solution

Length of Pipe given Head loss by Manning Formula Formula Elements

Other Formulas to find Pipe Length

Other formulas in Manning's Formula category

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

FAQs on Length of Pipe given Head loss by Manning Formula

Variable Name

GoLength of Pipe by Manning Formula given Radius of Pipe Formula