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Length of Pipe given Head loss Formula

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Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow. Check FAQs

s = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot μ}

s - Change in Drawdown?h_f - Head loss?γ - Specific Weight?d_pipe - Pipe Diameter?Q - Rate of Flow?μ - Viscous Force head loss?π - Archimedes' constant?

Length of Pipe given Head loss Example

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

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

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

0.0022 = 1.2 \cdot 92.6 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 13.5 \cdot 94.2}

0.0022m = 1.2m \cdot 92.6N/m³ \cdot 3.1416 \cdot \frac{{1.01m}^{4}}{128 \cdot 13.5m³/s \cdot 94.2N}

0.0022 = 1.2 \cdot 92.6 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 13.5 \cdot 94.2}

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Length of Pipe given Head loss Solution

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

FIRST Step Consider the formula

s = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot μ}

Next Step Substitute values of Variables

∴

s = 1.2m \cdot 92.6N/m³ \cdot π \cdot \frac{{1.01m}^{4}}{128 \cdot 13.5m³/s \cdot 94.2N}

Next Step Substitute values of Constants

∴

s = 1.2m \cdot 92.6N/m³ \cdot 3.1416 \cdot \frac{{1.01m}^{4}}{128 \cdot 13.5m³/s \cdot 94.2N}

Next Step Prepare to Evaluate

∴

s = 1.2 \cdot 92.6 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 13.5 \cdot 94.2}

Next Step Evaluate

∴

s = 0.00223168533523663m

LAST Step Rounding Answer

∴

s = 0.0022m

Length of Pipe given Head loss Formula Elements

Variables

Constants

Change in Drawdown

Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.

Symbol: s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Drawdown

Head loss

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss

Specific Weight

Specific Weight is defined as weight per unit volume.

Symbol: γ

Measurement: Specific WeightUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight

Pipe Diameter

Pipe Diameter is 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 Pipe Diameter

Rate of Flow

Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of Flow

Viscous Force head loss

Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.

Symbol: μ

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Viscous Force head loss

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 Pipes category

Go Viscous Stress

VS = μ viscosity \cdot \frac{VG}{DL}

Go Viscous Force Per Unit Area

Fviscous = \frac{F viscous}{A}

Go Viscous Force using Head loss Due to Laminar Flow

μ = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot s}

Go Heat Loss due to Pipe

Qpipeloss = \frac{F viscous \cdot L pipe \cdot {u Fluid}^{2}}{2 \cdot d \cdot g}

How to Evaluate Length of Pipe given Head loss?

Length of Pipe given Head loss evaluator uses Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss) to evaluate the Change in Drawdown, Length of Pipe given Head loss formula is defined as a method to determine the necessary length of a pipe based on the head loss due to friction. This formula helps in designing efficient piping systems by ensuring adequate flow and minimizing energy losses in fluid transport. Change in Drawdown is denoted by s symbol.

How to evaluate Length of Pipe given Head loss using this online evaluator? To use this online evaluator for Length of Pipe given Head loss, enter Head loss (h_f), Specific Weight (γ), Pipe Diameter (d_pipe), Rate of Flow (Q) & Viscous Force head loss (μ) and hit the calculate button.

FAQs on Length of Pipe given Head loss

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

The formula of Length of Pipe given Head loss is expressed as Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss). Here is an example- 0.002232 = 1.2*92.6*pi*(1.01^4)/(128*13.5*94.2).

How to calculate Length of Pipe given Head loss?

With Head loss (h_f), Specific Weight (γ), Pipe Diameter (d_pipe), Rate of Flow (Q) & Viscous Force head loss (μ) we can find Length of Pipe given Head loss using the formula - Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of Flow*Viscous Force head loss). This formula also uses Archimedes' constant .

Can the Length of Pipe given Head loss be negative?

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

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

Length of Pipe given Head loss 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 Head loss can be measured.

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Length of Pipe given Head loss Formula

Length of Pipe given Head loss Example

Length of Pipe given Head loss Solution

Length of Pipe given Head loss Formula Elements

Other formulas in Pipes category

How to Evaluate Length of Pipe given Head loss?

FAQs on Length of Pipe given Head loss

Variable Name