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Length of Pipe given Pressure Head Drop Formula

GoLength of Pipe given Pressure Difference Formula

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

L p = \frac{γ f \cdot w \cdot w \cdot h location}{12 \cdot μ \cdot V mean}

L_p - Length of Pipe?γ_f - Specific Weight of Liquid?w - Width?h_location - Head Loss due to Friction?μ - Dynamic Viscosity?V_mean - Mean Velocity?

Length of Pipe given Pressure Head Drop Example

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Here is how the Length of Pipe given Pressure Head Drop equation looks like with Values.

Here is how the Length of Pipe given Pressure Head Drop equation looks like with Units.

Here is how the Length of Pipe given Pressure Head Drop equation looks like.

0.8905 = \frac{9.81 \cdot 3 \cdot 3 \cdot 4}{12 \cdot 10.2 \cdot 32.4}

0.8905m = \frac{9.81kN/m³ \cdot 3m \cdot 3m \cdot 4m}{12 \cdot 10.2P \cdot 32.4m/s}

0.8905 = \frac{9.81 \cdot 3 \cdot 3 \cdot 4}{12 \cdot 10.2 \cdot 32.4}

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Length of Pipe given Pressure Head Drop Solution

Follow our step by step solution on how to calculate Length of Pipe given Pressure Head Drop?

FIRST Step Consider the formula

L p = \frac{γ f \cdot w \cdot w \cdot h location}{12 \cdot μ \cdot V mean}

Next Step Substitute values of Variables

∴

L p = \frac{9.81kN/m³ \cdot 3m \cdot 3m \cdot 4m}{12 \cdot 10.2P \cdot 32.4m/s}

Next Step Convert Units

∴

L p = \frac{9.81kN/m³ \cdot 3m \cdot 3m \cdot 4m}{12 \cdot 1.02Pa*s \cdot 32.4m/s}

Next Step Prepare to Evaluate

∴

L p = \frac{9.81 \cdot 3 \cdot 3 \cdot 4}{12 \cdot 1.02 \cdot 32.4}

Next Step Evaluate

∴

L p = 0.890522875816993m

LAST Step Rounding Answer

∴

L p = 0.8905m

Length of Pipe given Pressure Head Drop Formula Elements

Variables

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

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Head Loss due to Friction

The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_location

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

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

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Other Formulas to find Length of Pipe

Go Length of Pipe given Pressure Difference

L p = \frac{ΔP \cdot w \cdot w}{μ \cdot 12 \cdot V mean}

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

How to Evaluate Length of Pipe given Pressure Head Drop?

Length of Pipe given Pressure Head Drop evaluator uses Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity) to evaluate the Length of Pipe, The Length of Pipe given Pressure Head Drop is defined as the total length of pipe in the flow stream of channel . Length of Pipe is denoted by L_p symbol.

How to evaluate Length of Pipe given Pressure Head Drop using this online evaluator? To use this online evaluator for Length of Pipe given Pressure Head Drop, enter Specific Weight of Liquid (γ_f), Width (w), Head Loss due to Friction (h_location), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Length of Pipe given Pressure Head Drop

What is the formula to find Length of Pipe given Pressure Head Drop?

The formula of Length of Pipe given Pressure Head Drop is expressed as Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity). Here is an example- 0.422998 = (9810*3*3*head_loss_due_to_friction)/(12*1.02*32.4).

How to calculate Length of Pipe given Pressure Head Drop?

With Specific Weight of Liquid (γ_f), Width (w), Head Loss due to Friction (h_location), Dynamic Viscosity (μ) & Mean Velocity (V_mean) we can find Length of Pipe given Pressure Head Drop using the formula - Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity).

What are the other ways to Calculate Length of Pipe?

Here are the different ways to Calculate Length of Pipe-

Length of Pipe=(Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)

Can the Length of Pipe given Pressure Head Drop be negative?

Yes, the Length of Pipe given Pressure Head Drop, measured in Length can be negative.

Which unit is used to measure Length of Pipe given Pressure Head Drop?

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

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Length of Pipe given Pressure Head Drop Formula

​GoLength of Pipe given Pressure Difference Formula

Length of Pipe given Pressure Head Drop Example

Length of Pipe given Pressure Head Drop Solution

Length of Pipe given Pressure Head Drop Formula Elements

Other Formulas to find Length of Pipe

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

How to Evaluate Length of Pipe given Pressure Head Drop?

FAQs on Length of Pipe given Pressure Head Drop

Variable Name

GoLength of Pipe given Pressure Difference Formula