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Length of Pipe given Potential Head Drop Formula

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The Length of Pipe refers to the measurement of the pipe from one end to the other. Check FAQs

L = \frac{h L \cdot γ f \cdot ({d section}^{2})}{3 \cdot μ \cdot V mean}

L - Length of Pipe?h_L - Head Loss due to Friction?γ_f - Specific Weight of Liquid?d_section - Diameter of Section?μ - Dynamic Viscosity?V_mean - Mean Velocity?

Length of Pipe given Potential Head Drop Example

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

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

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

15.2279 = \frac{1.9 \cdot 9.81 \cdot (5^{2})}{3 \cdot 10.2 \cdot 10}

15.2279m = \frac{1.9m \cdot 9.81kN/m³ \cdot ({5m}^{2})}{3 \cdot 10.2P \cdot 10m/s}

15.2279 = \frac{1.9 \cdot 9.81 \cdot (5^{2})}{3 \cdot 10.2 \cdot 10}

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Length of Pipe given Potential Head Drop Solution

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

FIRST Step Consider the formula

L = \frac{h L \cdot γ f \cdot ({d section}^{2})}{3 \cdot μ \cdot V mean}

Next Step Substitute values of Variables

∴

L = \frac{1.9m \cdot 9.81kN/m³ \cdot ({5m}^{2})}{3 \cdot 10.2P \cdot 10m/s}

Next Step Convert Units

∴

L = \frac{1.9m \cdot 9.81kN/m³ \cdot ({5m}^{2})}{3 \cdot 1.02Pa*s \cdot 10m/s}

Next Step Prepare to Evaluate

∴

L = \frac{1.9 \cdot 9.81 \cdot (5^{2})}{3 \cdot 1.02 \cdot 10}

Next Step Evaluate

∴

L = 15.2279411764706m

LAST Step Rounding Answer

∴

L = 15.2279m

Length of Pipe given Potential Head Drop Formula Elements

Variables

Length of Pipe

The Length of Pipe refers to the measurement of the pipe from one end to the other.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Head Loss due to Friction

The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.

Symbol: h_L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

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

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

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

The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Other formulas in Laminar Flow of Fluid in an Open Channel category

Go Mean Velocity of Flow in Section

V mean = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{μ}

Go Slope of Channel given Mean Velocity of Flow

S = \frac{μ \cdot V mean}{(d section \cdot R - \frac{R^{2}}{2}) \cdot γ f}

Go Diameter of Section given Mean Velocity of Flow

d section = \frac{(R^{2} + (μ \cdot V mean \cdot \frac{S}{γ f}))}{R}

Go Dynamic Viscosity given Mean Velocity of Flow in Section

μ = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{V mean}

How to Evaluate Length of Pipe given Potential Head Drop?

Length of Pipe given Potential Head Drop evaluator uses Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity) to evaluate the Length of Pipe, The Length of Pipe given Potential Head Drop is defined as the total length of overall fluid in the pipe in horizontal direction. Length of Pipe is denoted by L symbol.

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

FAQs on Length of Pipe given Potential Head Drop

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

The formula of Length of Pipe given Potential Head Drop is expressed as Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity). Here is an example- 15.22794 = (1.9*9810*(5^2))/(3*1.02*10).

How to calculate Length of Pipe given Potential Head Drop?

With Head Loss due to Friction (h_L), Specific Weight of Liquid (γ_f), Diameter of Section (d_section), Dynamic Viscosity (μ) & Mean Velocity (V_mean) we can find Length of Pipe given Potential Head Drop using the formula - Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity).

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

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

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

Length of Pipe given Potential 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 Potential Head Drop can be measured.

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Length of Pipe given Potential Head Drop Formula

Length of Pipe given Potential Head Drop Example

Length of Pipe given Potential Head Drop Solution

Length of Pipe given Potential Head Drop Formula Elements

Other formulas in Laminar Flow of Fluid in an Open Channel category

How to Evaluate Length of Pipe given Potential Head Drop?

FAQs on Length of Pipe given Potential Head Drop

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