Length of Pipe given Head loss by Manning Formula 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%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+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.ⓘ Flow Velocity [v_f]			+10% -10%

✖Pipe Length describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe given Head loss by Manning Formula [Lp_']

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Formula

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Length of Pipe given Head loss by Manning Formula

Formula

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

Example

4.792331 m = \frac{1.2 m \cdot 0.157 \cdot {0.4 m}^{\frac{4}{3}}}{{(0.009 \cdot 11.96 m/s)}^{2}}

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Length of Pipe given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2
Lp_' = (h_f*0.157*D_p^(4/3))/(n*v_f)^2
This formula uses 5 Variables

Variables Used

Pipe Length - (Measured in Meter) - Pipe Length describes the length of the pipe in which the liquid is flowing.
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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter 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.
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.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required
Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Lp_' = (h_f*0.157*D_p^(4/3))/(n*v_f)^2 --> (1.2*0.157*0.4^(4/3))/(0.009*11.96)^2

Evaluating ... ...

Lp_' = 4.79233139149194

STEP 3: Convert Result to Output's Unit

4.79233139149194 Meter --> No Conversion Required

FINAL ANSWER

4.79233139149194 ≈ 4.792331 Meter <-- Pipe Length

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

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

Length of Pipe given Head loss by Manning Formula Formula

Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2
Lp_' = (h_f*0.157*D_p^(4/3))/(n*v_f)^2

What is Manning's Formula ?

Manning's coefficient is a measure of the roughness of a channel or conduit in hydraulic engineering, influencing the calculation of flow velocity in open channel flow equations.

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

Length of Pipe given Head loss by Manning Formula calculator uses Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2 to calculate 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 calculate Length of Pipe given Head loss by Manning Formula using this online calculator? To use this online calculator 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. Here is how the Length of Pipe given Head loss by Manning Formula calculation can be explained with given input values -> 4.792331 = (1.2*0.157*0.4^(4/3))/(0.009*11.96)^2.

FAQ

What is Length of Pipe given Head loss by Manning Formula?

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 and is represented as Lp_' = (h_f*0.157*D_p^(4/3))/(n*v_f)^2 or Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^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, Diameter of Pipe is the diameter 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 & 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 Length of Pipe given Head loss by Manning Formula?

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 is calculated using Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2. To calculate Length of Pipe given Head loss by Manning Formula, you need Head Loss (h_f), Diameter of Pipe (D_p), Manning Coefficient (n) & Flow Velocity (v_f). With our tool, you need to enter the respective value for Head Loss, Diameter of Pipe, Manning Coefficient & Flow Velocity 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 Pipe Length?

In this formula, Pipe Length uses Head Loss, Diameter of Pipe, Manning Coefficient & Flow Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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