Length of Equivalent Pipe Calculator

✖Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters.ⓘ Loss of Head in Equivalent Pipe [H_l]			+10% -10%
✖Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.ⓘ Diameter of Equivalent Pipe [D_eq]			+10% -10%
✖Discharge through pipe is the rate of flow of a liquid through a pipe.ⓘ Discharge through Pipe [Q]			+10% -10%
✖Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.ⓘ Coefficient of Friction of Pipe [μ]			+10% -10%

✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Equivalent Pipe [L]

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Length of Equivalent Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe)
L = (H_l*(pi^2)*2*(D_eq^5)*[g])/(4*16*(Q^2)*μ)
This formula uses 2 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Loss of Head in Equivalent Pipe - (Measured in Meter) - Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters.
Diameter of Equivalent Pipe - (Measured in Meter) - Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.
Discharge through Pipe - (Measured in Cubic Meter per Second) - Discharge through pipe is the rate of flow of a liquid through a pipe.
Coefficient of Friction of Pipe - Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.

STEP 1: Convert Input(s) to Base Unit

Loss of Head in Equivalent Pipe: 20 Meter --> 20 Meter No Conversion Required
Diameter of Equivalent Pipe: 0.165 Meter --> 0.165 Meter No Conversion Required
Discharge through Pipe: 0.025 Cubic Meter per Second --> 0.025 Cubic Meter per Second No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (H_l*(pi^2)*2*(D_eq^5)*[g])/(4*16*(Q^2)*μ) --> (20*(pi^2)*2*(0.165^5)*[g])/(4*16*(0.025^2)*0.01)

Evaluating ... ...

L = 1183.69589645184

STEP 3: Convert Result to Output's Unit

1183.69589645184 Meter --> No Conversion Required

FINAL ANSWER

1183.69589645184 ≈ 1183.696 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Mechanical » Geometric Property » Length of Equivalent Pipe

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< Geometric Property Calculators

Diameter of Equivalent Pipe

LaTeX Go Diameter of Equivalent Pipe = ((4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*Loss of Head in Equivalent Pipe*[g]))^(1/5)

Length of Equivalent Pipe

LaTeX Go Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe)

Length of pipe for maximum power transmission through nozzle

LaTeX Go Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)

Diameter of nozzle for maximum power transmission through nozzle

LaTeX Go Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25

Length of Equivalent Pipe Formula

LaTeX Go

What is coefficient of friction?

The coefficient of friction is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

What is an equivalent pipe?

If several pipes of different lengths and diameter are connected in series, they can be replaced by a single pipe called an equivalent pipe. This equivalent pipe of the same diameter will have the same loss head and discharge that several pipes connected in series will have.

How to Calculate Length of Equivalent Pipe?

Length of Equivalent Pipe calculator uses Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe) to calculate the Length of Pipe, The Length of equivalent pipe formula is known while considering the head loss, coefficient of friction, discharge, and the diameter of the equivalent pipe. Length of Pipe is denoted by L symbol.

How to calculate Length of Equivalent Pipe using this online calculator? To use this online calculator for Length of Equivalent Pipe, enter Loss of Head in Equivalent Pipe (H_l), Diameter of Equivalent Pipe (D_eq), Discharge through Pipe (Q) & Coefficient of Friction of Pipe (μ) and hit the calculate button. Here is how the Length of Equivalent Pipe calculation can be explained with given input values -> 1183.696 = (20*(pi^2)*2*(0.165^5)*[g])/(4*16*(0.025^2)*0.01).

FAQ

What is Length of Equivalent Pipe?

The Length of equivalent pipe formula is known while considering the head loss, coefficient of friction, discharge, and the diameter of the equivalent pipe and is represented as L = (H_l*(pi^2)*2*(D_eq^5)*[g])/(4*16*(Q^2)*μ) or Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe). Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters, Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters, Discharge through pipe is the rate of flow of a liquid through a pipe & Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.

How to calculate Length of Equivalent Pipe?

The Length of equivalent pipe formula is known while considering the head loss, coefficient of friction, discharge, and the diameter of the equivalent pipe is calculated using Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe). To calculate Length of Equivalent Pipe, you need Loss of Head in Equivalent Pipe (H_l), Diameter of Equivalent Pipe (D_eq), Discharge through Pipe (Q) & Coefficient of Friction of Pipe (μ). With our tool, you need to enter the respective value for Loss of Head in Equivalent Pipe, Diameter of Equivalent Pipe, Discharge through Pipe & Coefficient of Friction 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 Length of Pipe?

In this formula, Length of Pipe uses Loss of Head in Equivalent Pipe, Diameter of Equivalent Pipe, Discharge through Pipe & Coefficient of Friction of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)

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