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Length of Pipe given Head loss Formula

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The Change in Drawdown is the difference in water level or pressure in a fluid system, indicating how much water is being removed or added over time. 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 94.1867}

0.0022m = 1.2m \cdot 92.6N/m³ \cdot 3.1416 \cdot \frac{{1.01m}^{4}}{128 \cdot 13.5m³/s \cdot 94.1867N}

0.0022 = 1.2 \cdot 92.6 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 13.5 \cdot 94.1867}

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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 94.1867N}

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 94.1867N}

Next Step Prepare to Evaluate

∴

s = 1.2 \cdot 92.6 \cdot 3.1416 \cdot \frac{{1.01}^{4}}{128 \cdot 13.5 \cdot 94.1867}

Next Step Evaluate

∴

s = 0.00223199999510855m

LAST Step Rounding Answer

∴

s = 0.0022m

Length of Pipe given Head loss Formula Elements

Variables

Constants

Change in Drawdown

The Change in Drawdown is the difference in water level or pressure in a fluid system, indicating how much water is being removed or added over time.

Symbol: s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Drawdown

Head loss

The Head loss is the reduction in total mechanical energy of a fluid as it flows through a pipe, often due to friction and other resistive forces.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss

Specific Weight

The Specific Weight is the weight per unit volume of a substance, indicating how heavy a material is relative to its volume, crucial in fluid mechanics and pipe design.

Symbol: γ

Measurement: Specific WeightUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight

Pipe Diameter

The Pipe Diameter is the measurement across the widest part of a pipe, determining the flow capacity and pressure within fluid systems.

Symbol: d_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pipe Diameter

Rate of Flow

The Rate of Flow is the volume of fluid that passes through a pipe per unit of time, indicating the efficiency of fluid transport in mechanical systems.

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

The Viscous Force head loss is the energy loss due to friction as fluid flows through a pipe, affecting flow rate and pressure within the system.

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

V s = μ viscosity \cdot \frac{VG}{DL}

Go Viscous Force Per Unit Area

F v = \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- 0.000595 = 1.2*92.6*pi*(1.01^4)/(128*13.5*94.18672).

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