Diameter of Equivalent Pipe Calculator

✖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 Pipe [L]			+10% -10%
✖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]

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Diameter of Equivalent Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D_eq = ((4*16*(Q^2)*μ*L)/((pi^2)*2*H_l*[g]))^(1/5)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Loss of Head in Equivalent Pipe: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_eq = ((4*16*(Q^2)*μ*L)/((pi^2)*2*H_l*[g]))^(1/5) --> ((4*16*(0.025^2)*0.01*1200)/((pi^2)*2*20*[g]))^(1/5)

Evaluating ... ...

D_eq = 0.165452054742928

STEP 3: Convert Result to Output's Unit

0.165452054742928 Meter --> No Conversion Required

FINAL ANSWER

0.165452054742928 ≈ 0.165452 Meter <-- Diameter of Equivalent Pipe

(Calculation completed in 00.004 seconds)

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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

Diameter 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 Diameter of Equivalent Pipe?

Diameter of Equivalent Pipe calculator uses 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) to calculate the Diameter of Equivalent Pipe, The Diameter of equivalent pipe formula while considering the head loss, coefficient of friction, length, and discharge of the equivalent pipe. Diameter of Equivalent Pipe is denoted by D_eq symbol.

How to calculate Diameter of Equivalent Pipe using this online calculator? To use this online calculator for Diameter of Equivalent Pipe, enter Discharge through Pipe (Q), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Loss of Head in Equivalent Pipe (H_l) and hit the calculate button. Here is how the Diameter of Equivalent Pipe calculation can be explained with given input values -> 0.165452 = ((4*16*(0.025^2)*0.01*1200)/((pi^2)*2*20*[g]))^(1/5).

FAQ

What is Diameter of Equivalent Pipe?

The Diameter of equivalent pipe formula while considering the head loss, coefficient of friction, length, and discharge of the equivalent pipe and is represented as D_eq = ((4*16*(Q^2)*μ*L)/((pi^2)*2*H_l*[g]))^(1/5) or 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). 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, Length of Pipe describes the length of the pipe in which the liquid is flowing & 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.

How to calculate Diameter of Equivalent Pipe?

The Diameter of equivalent pipe formula while considering the head loss, coefficient of friction, length, and discharge of the equivalent pipe is calculated using 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). To calculate Diameter of Equivalent Pipe, you need Discharge through Pipe (Q), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Loss of Head in Equivalent Pipe (H_l). With our tool, you need to enter the respective value for Discharge through Pipe, Coefficient of Friction of Pipe, Length of Pipe & Loss of Head in Equivalent Pipe 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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