Head loss by Manning Formula Calculator

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Manning coefficient is a constant given by manning and depend on type of pipe.ⓘ 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%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%

✖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 by Manning Formula [h_f]

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Formula

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Head loss by Manning Formula

Formula

`"h"_{"f"} = ("L"_{"p"}*("n"*"v"_{"f"})^2)/(0.157*("D"_{"p"})^(4/3))`

Example

`"0.626m"=("2.5m"*("0.009"*"11.96m/s")^2)/(0.157*("0.4m")^(4/3))`

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Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Length of Pipe: 2.5 Meter --> 2.5 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
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (L_p*(n*v_f)^2)/(0.157*(D_p)^(4/3)) --> (2.5*(0.009*11.96)^2)/(0.157*(0.4)^(4/3))

Evaluating ... ...

h_f = 0.626000114542589

STEP 3: Convert Result to Output's Unit

0.626000114542589 Meter --> No Conversion Required

FINAL ANSWER

0.626000114542589 ≈ 0.626 Meter <-- Head Loss

(Calculation completed in 00.020 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

Head loss by Manning Formula Formula

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

What is 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. Head loss is unavoidable in real fluids.

How to Calculate Head loss by Manning Formula?

Head loss by Manning Formula calculator uses Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3)) to calculate the Head Loss, The Head loss by Manning Formula calculates the value of head loss given by manning formula when we have prior information of other parameters used. Head Loss is denoted by h_f symbol.

How to calculate Head loss by Manning Formula using this online calculator? To use this online calculator for Head loss by Manning Formula, enter Length of Pipe (L_p), Manning coefficient (n), Flow Velocity (v_f) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Head loss by Manning Formula calculation can be explained with given input values -> 1.579862 = (2.5*(0.009*11.96)^2)/(0.157*(0.4)^(4/3)).

FAQ

What is Head loss by Manning Formula?

The Head loss by Manning Formula calculates the value of head loss given by manning formula when we have prior information of other parameters used and is represented as h_f = (L_p*(n*v_f)^2)/(0.157*(D_p)^(4/3)) or Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3)). Length of Pipe describes the length 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 & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Head loss by Manning Formula?

The Head loss by Manning Formula calculates the value of head loss given by manning formula when we have prior information of other parameters used is calculated using Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3)). To calculate Head loss by Manning Formula, you need Length of Pipe (L_p), Manning coefficient (n), Flow Velocity (v_f) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Length of Pipe, Manning coefficient, Flow Velocity & Diameter of Pipe 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 Head Loss?

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

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

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