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Head Loss due to Laminar Flow Formula

GoHead Loss using Efficiency of Hydraulic Transmission Formula

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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. Check FAQs

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

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

Head Loss due to Laminar Flow Example

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Here is how the Head Loss due to Laminar Flow equation looks like with Values.

Here is how the Head Loss due to Laminar Flow equation looks like with Units.

Here is how the Head Loss due to Laminar Flow equation looks like.

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

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

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

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Head Loss due to Laminar Flow Solution

Follow our step by step solution on how to calculate Head Loss due to Laminar Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h f = \frac{128 \cdot 94.1867N \cdot 13.5m³/s \cdot 0.0022m}{π \cdot 92.6N/m³ \cdot {1.01m}^{4}}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h f = 1.20000000262981m

LAST Step Rounding Answer

∴

h f = 1.2m

Head Loss due to Laminar Flow Formula Elements

Variables

Constants

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

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

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

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

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

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 Head loss

Go Head Loss using Efficiency of Hydraulic Transmission

h f = H ent - η \cdot H ent

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 Length of Pipe given Head loss

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

How to Evaluate Head Loss due to Laminar Flow?

Head Loss due to Laminar Flow evaluator uses Head loss = (128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4) to evaluate the Head loss, Head Loss due to Laminar Flow formula is defined as a representation of the energy loss in a fluid flowing through a pipe due to viscosity. It quantifies the resistance encountered by the fluid, which is crucial for designing efficient piping systems in various engineering applications. Head loss is denoted by h_f symbol.

How to evaluate Head Loss due to Laminar Flow using this online evaluator? To use this online evaluator for Head Loss due to Laminar Flow, enter Viscous Force head loss (μ), Rate of Flow (Q), Change in Drawdown (s), Specific Weight (γ) & Pipe Diameter (d_pipe) and hit the calculate button.

FAQs on Head Loss due to Laminar Flow

What is the formula to find Head Loss due to Laminar Flow?

The formula of Head Loss due to Laminar Flow is expressed as Head loss = (128*Viscous Force head loss*Rate of Flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4). Here is an example- 1.2 = (128*94.18672*13.5*0.002232)/(pi*92.6*1.01^4).

How to calculate Head Loss due to Laminar Flow?

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

What are the other ways to Calculate Head loss?

Here are the different ways to Calculate Head loss-

Head loss=Total Head at Entrance-Efficiency*Total Head at Entrance

Can the Head Loss due to Laminar Flow be negative?

Yes, the Head Loss due to Laminar Flow, measured in Length can be negative.

Which unit is used to measure Head Loss due to Laminar Flow?

Head Loss due to Laminar Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head Loss due to Laminar Flow can be measured.

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Head Loss due to Laminar Flow Formula

​GoHead Loss using Efficiency of Hydraulic Transmission Formula

Head Loss due to Laminar Flow Example

Head Loss due to Laminar Flow Solution

Head Loss due to Laminar Flow Formula Elements

Other Formulas to find Head loss

Other formulas in Pipes category

How to Evaluate Head Loss due to Laminar Flow?

FAQs on Head Loss due to Laminar Flow

Variable Name

GoHead Loss using Efficiency of Hydraulic Transmission Formula