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Diameter of Equivalent Pipe Formula

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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. Check FAQs

D eq = {(\frac{4 \cdot 16 \cdot (Q^{2}) \cdot μ \cdot L}{(π^{2}) \cdot 2 \cdot H l \cdot [g]})}^{\frac{1}{5}}

D_eq - Diameter of Equivalent Pipe?Q - Discharge through Pipe?μ - Coefficient of Friction of Pipe?L - Length of Pipe?H_l - Loss of Head in Equivalent Pipe?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Diameter of Equivalent Pipe Example

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Here is how the Diameter of Equivalent Pipe equation looks like with Values.

Here is how the Diameter of Equivalent Pipe equation looks like with Units.

Here is how the Diameter of Equivalent Pipe equation looks like.

0.1655 = {(\frac{4 \cdot 16 \cdot ({0.025}^{2}) \cdot 0.01 \cdot 1200}{({3.1416}^{2}) \cdot 2 \cdot 20 \cdot 9.8066})}^{\frac{1}{5}}

0.1655m = {(\frac{4 \cdot 16 \cdot ({0.025m³/s}^{2}) \cdot 0.01 \cdot 1200m}{({3.1416}^{2}) \cdot 2 \cdot 20m \cdot 9.8066m/s²})}^{\frac{1}{5}}

0.1655 = {(\frac{4 \cdot 16 \cdot ({0.025}^{2}) \cdot 0.01 \cdot 1200}{({3.1416}^{2}) \cdot 2 \cdot 20 \cdot 9.8066})}^{\frac{1}{5}}

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Diameter of Equivalent Pipe Solution

Follow our step by step solution on how to calculate Diameter of Equivalent Pipe?

FIRST Step Consider the formula

D eq = {(\frac{4 \cdot 16 \cdot (Q^{2}) \cdot μ \cdot L}{(π^{2}) \cdot 2 \cdot H l \cdot [g]})}^{\frac{1}{5}}

Next Step Substitute values of Variables

∴

D eq = {(\frac{4 \cdot 16 \cdot ({0.025m³/s}^{2}) \cdot 0.01 \cdot 1200m}{(π^{2}) \cdot 2 \cdot 20m \cdot [g]})}^{\frac{1}{5}}

Next Step Substitute values of Constants

∴

D eq = {(\frac{4 \cdot 16 \cdot ({0.025m³/s}^{2}) \cdot 0.01 \cdot 1200m}{({3.1416}^{2}) \cdot 2 \cdot 20m \cdot 9.8066m/s²})}^{\frac{1}{5}}

Next Step Prepare to Evaluate

∴

D eq = {(\frac{4 \cdot 16 \cdot ({0.025}^{2}) \cdot 0.01 \cdot 1200}{({3.1416}^{2}) \cdot 2 \cdot 20 \cdot 9.8066})}^{\frac{1}{5}}

Next Step Evaluate

∴

D eq = 0.165452054742928m

LAST Step Rounding Answer

∴

D eq = 0.1655m

Diameter of Equivalent Pipe Formula Elements

Variables

Constants

Diameter of Equivalent Pipe

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.

Symbol: D_eq

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Equivalent Pipe

Discharge through Pipe

Discharge through pipe is the rate of flow of a liquid through a pipe.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge through 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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction of Pipe

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Loss of Head in Equivalent 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.

Symbol: H_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Loss of Head in Equivalent Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Geometric Property category

Go Length of Equivalent Pipe

L = \frac{H l \cdot (π^{2}) \cdot 2 \cdot ({D eq}^{5}) \cdot [g]}{4 \cdot 16 \cdot (Q^{2}) \cdot μ}

Go Diameter of nozzle for maximum power transmission through nozzle

d = {(\frac{D^{5}}{8 \cdot μ \cdot L})}^{0.25}

Go Length of pipe for maximum power transmission through nozzle

L = ({(\frac{A}{a 2})}^{2}) \cdot \frac{D}{8 \cdot μ}

Go Maximum Area of Obstruction in Pipe

A' = A - (\frac{A \cdot V f}{C c \cdot V c})

How to Evaluate Diameter of Equivalent Pipe?

Diameter of Equivalent Pipe evaluator 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 evaluate 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 evaluate Diameter of Equivalent Pipe using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of Equivalent Pipe

What is the formula to find Diameter of Equivalent Pipe?

The formula of Diameter of Equivalent Pipe is expressed as 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). Here is an example- 0.165452 = ((4*16*(0.025^2)*0.01*1200)/((pi^2)*2*20*[g]))^(1/5).

How to calculate Diameter of Equivalent Pipe?

With Discharge through Pipe (Q), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Loss of Head in Equivalent Pipe (H_l) we can find Diameter of Equivalent Pipe using the formula - 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). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Diameter of Equivalent Pipe be negative?

No, the Diameter of Equivalent Pipe, measured in Length cannot be negative.

Which unit is used to measure Diameter of Equivalent Pipe?

Diameter of Equivalent Pipe is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Equivalent Pipe can be measured.

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Diameter of Equivalent Pipe Formula

Diameter of Equivalent Pipe Example

Diameter of Equivalent Pipe Solution

Diameter of Equivalent Pipe Formula Elements

Other formulas in Geometric Property category

How to Evaluate Diameter of Equivalent Pipe?

FAQs on Diameter of Equivalent Pipe

Variable Name