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Discharge in Equivalent Pipe Formula

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

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

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

Discharge in Equivalent Pipe Example

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Here is how the Discharge in Equivalent Pipe equation looks like with Values.

Here is how the Discharge in Equivalent Pipe equation looks like with Units.

Here is how the Discharge in Equivalent Pipe equation looks like.

0.0248 = \sqrt{\frac{20 \cdot ({3.1416}^{2}) \cdot 2 \cdot ({0.165}^{5}) \cdot 9.8066}{4 \cdot 16 \cdot 0.01 \cdot 1200}}

0.0248m³/s = \sqrt{\frac{20m \cdot ({3.1416}^{2}) \cdot 2 \cdot ({0.165m}^{5}) \cdot 9.8066m/s²}{4 \cdot 16 \cdot 0.01 \cdot 1200m}}

0.0248 = \sqrt{\frac{20 \cdot ({3.1416}^{2}) \cdot 2 \cdot ({0.165}^{5}) \cdot 9.8066}{4 \cdot 16 \cdot 0.01 \cdot 1200}}

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Discharge in Equivalent Pipe Solution

Follow our step by step solution on how to calculate Discharge in Equivalent Pipe?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \sqrt{\frac{20m \cdot (π^{2}) \cdot 2 \cdot ({0.165m}^{5}) \cdot [g]}{4 \cdot 16 \cdot 0.01 \cdot 1200m}}

Next Step Substitute values of Constants

∴

Q = \sqrt{\frac{20m \cdot ({3.1416}^{2}) \cdot 2 \cdot ({0.165m}^{5}) \cdot 9.8066m/s²}{4 \cdot 16 \cdot 0.01 \cdot 1200m}}

Next Step Prepare to Evaluate

∴

Q = \sqrt{\frac{20 \cdot ({3.1416}^{2}) \cdot 2 \cdot ({0.165}^{5}) \cdot 9.8066}{4 \cdot 16 \cdot 0.01 \cdot 1200}}

Next Step Evaluate

∴

Q = 0.0248295847609661m³/s

LAST Step Rounding Answer

∴

Q = 0.0248m³/s

Discharge in Equivalent Pipe Formula Elements

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Flow Regime category

Go Velocity at section 1-1 for sudden enlargement

V 1' = V 2' + \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden enlargement

V 2' = V 1' - \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden contraction

V 2' = \frac{\sqrt{h c \cdot 2 \cdot [g]}}{(\frac{1}{C c}) - 1}

Go Velocity of fluid in pipe for head loss at entrance of pipe

v = \sqrt{\frac{h i \cdot 2 \cdot [g]}{0.5}}

How to Evaluate Discharge in Equivalent Pipe?

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

How to evaluate Discharge in Equivalent Pipe using this online evaluator? To use this online evaluator for Discharge in Equivalent Pipe, enter Loss of Head in Equivalent Pipe (H_l), Diameter of Equivalent Pipe (D_eq), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) and hit the calculate button.

FAQs on Discharge in Equivalent Pipe

What is the formula to find Discharge in Equivalent Pipe?

The formula of Discharge in Equivalent Pipe is expressed as Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe)). Here is an example- 0.02483 = sqrt((20*(pi^2)*2*(0.165^5)*[g])/(4*16*0.01*1200)).

How to calculate Discharge in Equivalent Pipe?

With Loss of Head in Equivalent Pipe (H_l), Diameter of Equivalent Pipe (D_eq), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) we can find Discharge in Equivalent Pipe using the formula - Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Square Root (sqrt) function(s).

Can the Discharge in Equivalent Pipe be negative?

No, the Discharge in Equivalent Pipe, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge in Equivalent Pipe?

Discharge in Equivalent Pipe is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge in Equivalent Pipe can be measured.

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Discharge in Equivalent Pipe Formula

Discharge in Equivalent Pipe Example

Discharge in Equivalent Pipe Solution

Discharge in Equivalent Pipe Formula Elements

Other formulas in Flow Regime category

How to Evaluate Discharge in Equivalent Pipe?

FAQs on Discharge in Equivalent Pipe

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