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Length for Ratio of Inertial Forces and Viscous Forces Formula

GoLength given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces Formula

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Characteristic length is the linear dimension expressed in physical model relationships between prototype and model. Check FAQs

L = \frac{F i \cdot μ viscosity}{F v \cdot ρ fluid \cdot V f}

L - Characteristic length?F_i - Inertia Forces?μ_viscosity - Dynamic Viscosity?F_v - Viscous Force?ρ_fluid - Density of Fluid?V_f - Velocity of Fluid?

Length for Ratio of Inertial Forces and Viscous Forces Example

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Here is how the Length for Ratio of Inertial Forces and Viscous Forces equation looks like with Values.

Here is how the Length for Ratio of Inertial Forces and Viscous Forces equation looks like with Units.

Here is how the Length for Ratio of Inertial Forces and Viscous Forces equation looks like.

3.0035 = \frac{3.636 \cdot 10.2}{0.0504 \cdot 1.225 \cdot 20}

3.0035m = \frac{3.636kN \cdot 10.2P}{0.0504kN \cdot 1.225kg/m³ \cdot 20m/s}

3.0035 = \frac{3.636 \cdot 10.2}{0.0504 \cdot 1.225 \cdot 20}

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Length for Ratio of Inertial Forces and Viscous Forces Solution

Follow our step by step solution on how to calculate Length for Ratio of Inertial Forces and Viscous Forces?

FIRST Step Consider the formula

L = \frac{F i \cdot μ viscosity}{F v \cdot ρ fluid \cdot V f}

Next Step Substitute values of Variables

∴

L = \frac{3.636kN \cdot 10.2P}{0.0504kN \cdot 1.225kg/m³ \cdot 20m/s}

Next Step Convert Units

∴

L = \frac{3636N \cdot 1.02Pa*s}{50.4N \cdot 1.225kg/m³ \cdot 20m/s}

Next Step Prepare to Evaluate

∴

L = \frac{3636 \cdot 1.02}{50.4 \cdot 1.225 \cdot 20}

Next Step Evaluate

∴

L = 3.00349854227405m

LAST Step Rounding Answer

∴

L = 3.0035m

Length for Ratio of Inertial Forces and Viscous Forces Formula Elements

Variables

Characteristic length

Characteristic length is the linear dimension expressed in physical model relationships between prototype and model.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Characteristic length

Inertia Forces

Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.

Symbol: F_i

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Inertia Forces

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Viscous Force

Viscous Force is force due to viscosity.

Symbol: F_v

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Viscous Force

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Velocity of Fluid

Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Fluid

Other Formulas to find Characteristic length

Go Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces

L = \frac{F i \cdot ν}{F v \cdot V f}

Other formulas in Relation between Forces on the Prototype and Forces on the Model category

Go Force on Prototype

F p = αF \cdot F m

Go Scale Factor for Inertia Forces given Force on Prototype

αF = \frac{F p}{F m}

Go Force on Model given Force on Prototype

F m = \frac{F p}{αF}

Go Relation between Forces on Prototype and Forces on Model

F p = αρ \cdot ({αV}^{2}) \cdot ({αL}^{2}) \cdot F m

How to Evaluate Length for Ratio of Inertial Forces and Viscous Forces?

Length for Ratio of Inertial Forces and Viscous Forces evaluator uses Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid) to evaluate the Characteristic length, The Length for Ratio of Inertial Forces and Viscous Forces can be expressed using Newton’s friction model while while the inertia forces (from above) are proportional to the respective parameters. Characteristic length is denoted by L symbol.

How to evaluate Length for Ratio of Inertial Forces and Viscous Forces using this online evaluator? To use this online evaluator for Length for Ratio of Inertial Forces and Viscous Forces, enter Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Velocity of Fluid (V_f) and hit the calculate button.

FAQs on Length for Ratio of Inertial Forces and Viscous Forces

What is the formula to find Length for Ratio of Inertial Forces and Viscous Forces?

The formula of Length for Ratio of Inertial Forces and Viscous Forces is expressed as Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid). Here is an example- 3.003499 = (3636*1.02)/(50.4*1.225*20).

How to calculate Length for Ratio of Inertial Forces and Viscous Forces?

With Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Velocity of Fluid (V_f) we can find Length for Ratio of Inertial Forces and Viscous Forces using the formula - Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid).

What are the other ways to Calculate Characteristic length?

Here are the different ways to Calculate Characteristic length-

Characteristic length=(Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Velocity of Fluid)

Can the Length for Ratio of Inertial Forces and Viscous Forces be negative?

Yes, the Length for Ratio of Inertial Forces and Viscous Forces, measured in Length can be negative.

Which unit is used to measure Length for Ratio of Inertial Forces and Viscous Forces?

Length for Ratio of Inertial Forces and Viscous Forces is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length for Ratio of Inertial Forces and Viscous Forces can be measured.

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Length for Ratio of Inertial Forces and Viscous Forces Formula

​GoLength given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces Formula

Length for Ratio of Inertial Forces and Viscous Forces Example

Length for Ratio of Inertial Forces and Viscous Forces Solution

Length for Ratio of Inertial Forces and Viscous Forces Formula Elements

Other Formulas to find Characteristic length

Other formulas in Relation between Forces on the Prototype and Forces on the Model category

How to Evaluate Length for Ratio of Inertial Forces and Viscous Forces?

FAQs on Length for Ratio of Inertial Forces and Viscous Forces

Variable Name

GoLength given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces Formula