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Diameter of Pipe given Head Loss over Length of Pipe with Discharge Formula

GoDiameter of Pipe given Pressure Drop over Length of Pipe Formula

GoDiameter of Pipe given Pressure Drop over Length of Pipe with Discharge Formula

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The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing. Check FAQs

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot L p}{π \cdot γ f \cdot h})}^{\frac{1}{4}}

D_pipe - Diameter of Pipe?μ - Dynamic Viscosity?Q - Discharge in Pipe?L_p - Length of Pipe?γ_f - Specific Weight of Liquid?h - Head Loss due to Friction?π - Archimedes' constant?

Diameter of Pipe given Head Loss over Length of Pipe with Discharge Example

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Here is how the Diameter of Pipe given Head Loss over Length of Pipe with Discharge equation looks like with Values.

Here is how the Diameter of Pipe given Head Loss over Length of Pipe with Discharge equation looks like with Units.

Here is how the Diameter of Pipe given Head Loss over Length of Pipe with Discharge equation looks like.

0.1141 = {(\frac{128 \cdot 10.2 \cdot 1 \cdot 0.1}{3.1416 \cdot 9.81 \cdot 2.5})}^{\frac{1}{4}}

0.1141m = {(\frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9.81kN/m³ \cdot 2.5m})}^{\frac{1}{4}}

0.1141 = {(\frac{128 \cdot 10.2 \cdot 1 \cdot 0.1}{3.1416 \cdot 9.81 \cdot 2.5})}^{\frac{1}{4}}

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Diameter of Pipe given Head Loss over Length of Pipe with Discharge Solution

Follow our step by step solution on how to calculate Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

FIRST Step Consider the formula

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot L p}{π \cdot γ f \cdot h})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

D pipe = {(\frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{π \cdot 9.81kN/m³ \cdot 2.5m})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

D pipe = {(\frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9.81kN/m³ \cdot 2.5m})}^{\frac{1}{4}}

Next Step Convert Units

∴

D pipe = {(\frac{128 \cdot 1.02Pa*s \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9810N/m³ \cdot 2.5m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{128 \cdot 1.02 \cdot 1 \cdot 0.1}{3.1416 \cdot 9810 \cdot 2.5})}^{\frac{1}{4}}

Next Step Evaluate

∴

D pipe = 0.11409403034133m

LAST Step Rounding Answer

∴

D pipe = 0.1141m

Diameter of Pipe given Head Loss over Length of Pipe with Discharge Formula Elements

Variables

Constants

Diameter of Pipe

The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Head Loss due to Friction

The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

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 to find Diameter of Pipe

Go Diameter of Pipe given Pressure Drop over Length of Pipe

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{ΔP}}

Go Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot L p}{ΔP \cdot π})}^{\frac{1}{4}}

Go Diameter of Pipe given Head Loss over Length of Pipe

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{γ f \cdot h}}

Other formulas in Hagen Poiseuille Equation category

Go Pressure drop over length of pipe

ΔP = (32 \cdot μ \cdot V mean \cdot \frac{L p}{{D pipe}^{2}})

Go Mean Velocity of Flow given Pressure Drop over Length of Pipe

V mean = \frac{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

Go Length of Pipe given Pressure Drop over Length of Pipe

L p = \frac{ΔP \cdot {D pipe}^{2}}{32 \cdot μ \cdot V mean}

Go Dynamic Viscosity given Pressure Drop over Length of Pipe

μ = \frac{ΔP \cdot ({D pipe}^{2})}{32 \cdot L p \cdot V mean}

How to Evaluate Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

Diameter of Pipe given Head Loss over Length of Pipe with Discharge evaluator uses Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4) to evaluate the Diameter of Pipe, The Diameter of Pipe given Head Loss over Length of Pipe with Discharge is defined as width of pipe taken for study through which the fluid flows. Diameter of Pipe is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe given Head Loss over Length of Pipe with Discharge using this online evaluator? To use this online evaluator for Diameter of Pipe given Head Loss over Length of Pipe with Discharge, enter Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h) and hit the calculate button.

FAQs on Diameter of Pipe given Head Loss over Length of Pipe with Discharge

What is the formula to find Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

The formula of Diameter of Pipe given Head Loss over Length of Pipe with Discharge is expressed as Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4). Here is an example- 0.101446 = ((128*1.02*1.000001*0.1)/(pi*9810*2.5))^(1/4).

How to calculate Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

With Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h) we can find Diameter of Pipe given Head Loss over Length of Pipe with Discharge using the formula - Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

Diameter of Pipe=sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Diameter of Pipe=((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
Diameter of Pipe=sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Can the Diameter of Pipe given Head Loss over Length of Pipe with Discharge be negative?

No, the Diameter of Pipe given Head Loss over Length of Pipe with Discharge, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

Diameter of Pipe given Head Loss over Length of Pipe with Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Pipe given Head Loss over Length of Pipe with Discharge can be measured.

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Diameter of Pipe given Head Loss over Length of Pipe with Discharge Formula

​GoDiameter of Pipe given Pressure Drop over Length of Pipe Formula

​GoDiameter of Pipe given Pressure Drop over Length of Pipe with Discharge Formula

Diameter of Pipe given Head Loss over Length of Pipe with Discharge Example

Diameter of Pipe given Head Loss over Length of Pipe with Discharge Solution

Diameter of Pipe given Head Loss over Length of Pipe with Discharge Formula Elements

Other Formulas to find Diameter of Pipe

Other formulas in Hagen Poiseuille Equation category

How to Evaluate Diameter of Pipe given Head Loss over Length of Pipe with Discharge?

FAQs on Diameter of Pipe given Head Loss over Length of Pipe with Discharge

Variable Name

GoDiameter of Pipe given Pressure Drop over Length of Pipe Formula

GoDiameter of Pipe given Pressure Drop over Length of Pipe with Discharge Formula