Length of Pipe given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2
Lp = (hf*0.157*Dp^(4/3))/(n*vf)^2
This formula uses 5 Variables
Variables Used
Length of Pipe - (Measured in Meter) - Length of Pipe 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 a constant given by manning and depend on type of pipe.
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 = (hf*0.157*Dp^(4/3))/(n*vf)^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 <-- Length of Pipe
(Calculation completed in 00.004 seconds)

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18 Manning's Formula Calculators

Velocity of Flow in Pipe given Head loss by Manning Formula
Go Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient given Head loss by Manning Formula
Go Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2))
Velocity of Flow in Pipe by Manning Formula given Radius of Pipe
Go Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient by Manning Formula given Radius of Pipe
Go Manning coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Flow Velocity^2))
Radius of Pipe given Head loss by Manning Formula
Go Pipe Radius = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)
Diameter of Pipe given Head loss by Manning Formula
Go Diameter of Pipe = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)
Head loss by Manning Formula
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3))
Head loss by Manning Formula given Radius of Pipe
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))
Length of Pipe given Head loss by Manning Formula
Go Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2
Length of Pipe by Manning Formula given Radius of Pipe
Go Length of Pipe = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning coefficient*Flow Velocity)^2
Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula
Go Diameter of Pipe = ((Flow Velocity*Manning coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)
Velocity of Flow in Pipe by Manning Formula given Diameter
Go Flow Velocity = (0.397/Manning coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Manning's Coefficient given Diameter of Pipe
Go Manning coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Hydraulic Gradient by Manning Formula given Diameter
Go Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2
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

Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2
Lp = (hf*0.157*Dp^(4/3))/(n*vf)^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 Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2 to calculate the Length of Pipe, The Length of Pipe given Head loss by Manning Formula calculates the value of length of pipe when we have prior information of other parameters used. Length of Pipe 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 (hf), Diameter of Pipe (Dp), Manning coefficient (n) & Flow Velocity (vf) 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 calculates the value of length of pipe when we have prior information of other parameters used and is represented as Lp = (hf*0.157*Dp^(4/3))/(n*vf)^2 or Length of Pipe = (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 a constant given by manning and depend on type of pipe & 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 calculates the value of length of pipe when we have prior information of other parameters used is calculated using Length of Pipe = (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 (hf), Diameter of Pipe (Dp), Manning coefficient (n) & Flow Velocity (vf). 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 Length of Pipe?
In this formula, Length of Pipe 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 -
  • Length of Pipe = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning coefficient*Flow Velocity)^2
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