Length of Pipe by Manning Formula given Radius of Pipe 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%
✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Pipe Radius [R]			+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 by Manning Formula given Radius of Pipe [Lp_']

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Length of Pipe by Manning Formula given Radius of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Length = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning Coefficient*Flow Velocity)^2
Lp_' = (h_f*0.157*(2*R)^(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.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid 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
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)
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*(2*R)^(4/3))/(n*v_f)^2 --> (1.2*0.157*(2*0.2)^(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 00.020 seconds)

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< Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula

LaTeX 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

LaTeX Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)

Manning's Coefficient given Velocity of Flow

LaTeX Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Length of Pipe by Manning Formula given Radius of Pipe Formula

LaTeX Go

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

What is Manning 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 by Manning Formula given Radius of Pipe?

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

How to calculate Length of Pipe by Manning Formula given Radius of Pipe using this online calculator? To use this online calculator for Length of Pipe by Manning Formula given Radius of Pipe, enter Head Loss (h_f), Pipe Radius (R), Manning Coefficient (n) & Flow Velocity (v_f) and hit the calculate button. Here is how the Length of Pipe by Manning Formula given Radius of Pipe calculation can be explained with given input values -> 4.792331 = (1.2*0.157*(2*0.2)^(4/3))/(0.009*11.96)^2.

FAQ

What is Length of Pipe by Manning Formula given Radius of Pipe?

The Length of Pipe by Manning Formula given Radius of Pipe is defined as the value of length of pipe calculated using Manning's formula, when we have prior information of radius of pipe and is represented as Lp_' = (h_f*0.157*(2*R)^(4/3))/(n*v_f)^2 or Pipe Length = (Head Loss*0.157*(2*Pipe Radius)^(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, The Pipe Radius is the radius of the pipe through which the fluid 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 by Manning Formula given Radius of Pipe?

The Length of Pipe by Manning Formula given Radius of Pipe is defined as the value of length of pipe calculated using Manning's formula, when we have prior information of radius of pipe is calculated using Pipe Length = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning Coefficient*Flow Velocity)^2. To calculate Length of Pipe by Manning Formula given Radius of Pipe, you need Head Loss (h_f), Pipe Radius (R), Manning Coefficient (n) & Flow Velocity (v_f). With our tool, you need to enter the respective value for Head Loss, Pipe Radius, 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, Pipe Radius, 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*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2

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