Length of Pipe given Internal Radius of Pipe Calculator

✖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.ⓘ Pipe Radius [R]			+10% -10%
✖Darcy's coefficient of friction is a constant which depend upon pipe friction.ⓘ Darcy's coefficient of friction [f]			+10% -10%
✖Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Average Velocity in Pipe Fluid Flow [v_avg]			+10% -10%

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe given Internal Radius of Pipe [L_p]

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Formula

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Length of Pipe given Internal Radius of Pipe

Formula

`"L"_{"p"} = ("h"_{"f"}*"[g]"*"R")/("f"*("v"_{"avg"})^2)`

Example

`"2.504304m"=("1.2m"*"[g]"*"200mm")/("0.045"*("4.57m/s")^2)`

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Length of Pipe given Internal Radius of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)
L_p = (h_f*[g]*R)/(f*(v_avg)^2)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Darcy's coefficient of friction - Darcy's coefficient of friction is a constant which depend upon pipe friction.
Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion here)
Darcy's coefficient of friction: 0.045 --> No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = (h_f*[g]*R)/(f*(v_avg)^2) --> (1.2*[g]*0.2)/(0.045*(4.57)^2)

Evaluating ... ...

L_p = 2.50430374736452

STEP 3: Convert Result to Output's Unit

2.50430374736452 Meter --> No Conversion Required

FINAL ANSWER

2.50430374736452 ≈ 2.504304 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Darcy's Weisbach Equation » Length of Pipe given Internal Radius of Pipe

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Birsa Institute of Technology (BIT), Sindri

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< 10+ Darcy's Weisbach Equation Calculators

Average Velocity of Flow given Head Loss

Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's coefficient of friction*Length of Pipe))

Average Velocity of Flow given Internal Radius of Pipe

Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*Length of Pipe))

Head Loss due to Friction by Darcy Weisbach Equation

Go Head Loss = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)

Darcy's Coefficient of Friction given Head Loss

Go Darcy's coefficient of friction = (Head Loss*2*[g]*Diameter of Pipe)/(4*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Length of Pipe given Head Loss due to Friction

Go Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Diameter of Pipe given Head Loss

Go Diameter of Pipe = (4*Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss)

Darcy's Coefficient of Friction given Internal Radius of Pipe

Go Darcy's coefficient of friction = (Head Loss*[g]*Pipe Radius)/(Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Head Loss due to Friction given Internal Radius of Pipe

Go Head Loss = (Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Pipe Radius)

Length of Pipe given Internal Radius of Pipe

Go Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Radius of Pipe given Head Loss

Go Pipe Radius = (Darcy's coefficient of friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Head Loss)

Length of Pipe given Internal Radius of Pipe Formula

Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)
L_p = (h_f*[g]*R)/(f*(v_avg)^2)

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 Length of Pipe given Internal Radius of Pipe?

Length of Pipe given Internal Radius of Pipe calculator uses Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2) to calculate the Length of Pipe, Length of Pipe given Internal Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Internal Radius of Pipe using this online calculator? To use this online calculator for Length of Pipe given Internal Radius of Pipe, enter Head Loss (h_f), Pipe Radius (R), Darcy's coefficient of friction (f) & Average Velocity in Pipe Fluid Flow (v_avg) and hit the calculate button. Here is how the Length of Pipe given Internal Radius of Pipe calculation can be explained with given input values -> 2.504304 = (1.2*[g]*0.2)/(0.045*(4.57)^2).

FAQ

What is Length of Pipe given Internal Radius of Pipe?

Length of Pipe given Internal Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used and is represented as L_p = (h_f*[g]*R)/(f*(v_avg)^2) or Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^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, The Pipe Radius is the radius of the pipe through which the fluid is flowing, Darcy's coefficient of friction is a constant which depend upon pipe friction & Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

How to calculate Length of Pipe given Internal Radius of Pipe?

Length of Pipe given Internal Radius of Pipe calculates value of length of pipe when we have prior information of other parameters used is calculated using Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2). To calculate Length of Pipe given Internal Radius of Pipe, you need Head Loss (h_f), Pipe Radius (R), Darcy's coefficient of friction (f) & Average Velocity in Pipe Fluid Flow (v_avg). With our tool, you need to enter the respective value for Head Loss, Pipe Radius, Darcy's coefficient of friction & Average Velocity in Pipe Fluid Flow 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, Pipe Radius, Darcy's coefficient of friction & Average Velocity in Pipe Fluid Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's coefficient of friction*(Average Velocity in Pipe Fluid Flow)^2)

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