Radius of Pipe given 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%
✖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.ⓘ Radius of Pipe given Head loss by Manning Formula [R]

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Formula

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Radius of Pipe given Head loss by Manning Formula

Formula

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

Example

`"122.7651mm"=(("2.5m"*("0.009"*"11.96m/s")^2)/(0.157*"1.2m"*(2)^(4/3)))^(3/4)`

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Radius of Pipe given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
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.
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.

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
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((L_p*(n*v_f)^2)/(0.157*h_f*(2)^(4/3)))^(3/4) --> ((2.5*(0.009*11.96)^2)/(0.157*1.2*(2)^(4/3)))^(3/4)

Evaluating ... ...

R = 0.122765085502296

STEP 3: Convert Result to Output's Unit

0.122765085502296 Meter -->122.765085502296 Millimeter (Check conversion here)

FINAL ANSWER

122.765085502296 ≈ 122.7651 Millimeter <-- Pipe Radius

(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

Radius of Pipe given Head loss by Manning Formula Formula

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

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 Radius of Pipe given Head loss by Manning Formula?

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

How to calculate Radius of Pipe given Head loss by Manning Formula using this online calculator? To use this online calculator for Radius of Pipe given Head loss by Manning Formula, enter Length of Pipe (L_p), Manning coefficient (n), Flow Velocity (v_f) & Head Loss (h_f) and hit the calculate button. Here is how the Radius of Pipe given Head loss by Manning Formula calculation can be explained with given input values -> 122765.1 = ((2.5*(0.009*11.96)^2)/(0.157*1.2*(2)^(4/3)))^(3/4).

FAQ

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

Radius of Pipe given Head loss by Manning Formula calculates value of radius of pipe when we have prior information of other parameters used and is represented as R = ((L_p*(n*v_f)^2)/(0.157*h_f*(2)^(4/3)))^(3/4) or Pipe Radius = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4). 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 & 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.

How to calculate Radius of Pipe given Head loss by Manning Formula?

Radius of Pipe given Head loss by Manning Formula calculates value of radius of pipe when we have prior information of other parameters used is calculated using Pipe Radius = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4). To calculate Radius of Pipe given Head loss by Manning Formula, you need Length of Pipe (L_p), Manning coefficient (n), Flow Velocity (v_f) & Head Loss (h_f). With our tool, you need to enter the respective value for Length of Pipe, Manning coefficient, Flow Velocity & Head Loss and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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