Radius of Pipe given Head loss by Manning Formula Calculator

✖Pipe Length describes the length of the pipe in which the liquid is flowing.ⓘ Pipe Length [Lp_']			+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%
✖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 = {(\frac{Lp' \cdot {(n \cdot v f)}^{2}}{0.157 \cdot h f \cdot {(2)}^{\frac{4}{3}}})}^{\frac{3}{4}}

Example

203.3607 mm = {(\frac{4.90 m \cdot {(0.009 \cdot 11.96 m/s)}^{2}}{0.157 \cdot 1.2 m \cdot {(2)}^{\frac{4}{3}}})}^{\frac{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 = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)
R = ((Lp_'*(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.
Pipe Length - (Measured in Meter) - Pipe Length describes the length 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.
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

Pipe Length: 4.9 Meter --> 4.9 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 = ((Lp_'*(n*v_f)^2)/(0.157*h_f*(2)^(4/3)))^(3/4) --> ((4.9*(0.009*11.96)^2)/(0.157*1.2*(2)^(4/3)))^(3/4)

Evaluating ... ...

R = 0.203360651314976

STEP 3: Convert Result to Output's Unit

0.203360651314976 Meter -->203.360651314976 Millimeter (Check conversion here)

FINAL ANSWER

203.360651314976 ≈ 203.3607 Millimeter <-- Pipe Radius

(Calculation completed in 00.006 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

Radius of Pipe given Head loss by Manning Formula Formula

Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)
R = ((Lp_'*(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 = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4) to calculate the Pipe Radius, The Radius of Pipe given Head loss by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of head loss and 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 Pipe Length (Lp_'), 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 -> 203360.7 = ((4.9*(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?

The Radius of Pipe given Head loss by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of head loss and other parameters used and is represented as R = ((Lp_'*(n*v_f)^2)/(0.157*h_f*(2)^(4/3)))^(3/4) or Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4). Pipe Length describes the length 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 & 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?

The Radius of Pipe given Head loss by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of head loss and other parameters used is calculated using Pipe Radius = ((Pipe Length*(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 Pipe Length (Lp_'), Manning Coefficient (n), Flow Velocity (v_f) & Head Loss (h_f). With our tool, you need to enter the respective value for Pipe Length, 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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