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

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Head loss by Manning Formula given Radius of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))
h_f = (Lp_'*(n*v_f)^2)/(0.157*(2*R)^(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.
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.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.

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
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (Lp_'*(n*v_f)^2)/(0.157*(2*R)^(4/3)) --> (4.9*(0.009*11.96)^2)/(0.157*(2*0.2)^(4/3))

Evaluating ... ...

h_f = 1.22696022450347

STEP 3: Convert Result to Output's Unit

1.22696022450347 Meter --> No Conversion Required

FINAL ANSWER

1.22696022450347 ≈ 1.22696 Meter <-- Head Loss

(Calculation completed in 00.004 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

Head loss by Manning Formula given Radius of Pipe Formula

LaTeX Go

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

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

How to calculate Head loss by Manning Formula given Radius of Pipe using this online calculator? To use this online calculator for Head loss by Manning Formula given Radius of Pipe, enter Pipe Length (Lp_'), Manning Coefficient (n), Flow Velocity (v_f) & Pipe Radius (R) and hit the calculate button. Here is how the Head loss by Manning Formula given Radius of Pipe calculation can be explained with given input values -> 1.22696 = (4.9*(0.009*11.96)^2)/(0.157*(2*0.2)^(4/3)).

FAQ

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

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

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

The Head loss by Manning Formula given Radius of Pipe is defined as the value of head loss calculated using Manning's formula, when we have prior information of radius of pipe is calculated using Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3)). To calculate Head loss by Manning Formula given Radius of Pipe, you need Pipe Length (Lp_'), Manning Coefficient (n), Flow Velocity (v_f) & Pipe Radius (R). With our tool, you need to enter the respective value for Pipe Length, Manning Coefficient, Flow Velocity & Pipe Radius 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 Pipe Length, Manning Coefficient, Flow Velocity & Pipe Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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