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

GoLength for 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 ν}{F v \cdot V f}

L - Characteristic length?F_i - Inertia Forces?ν - Kinematic Viscosity for Model Analysis?F_v - Viscous Force?V_f - Velocity of Fluid?

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

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Here is how the Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces equation looks like with Values.

Here is how the Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces equation looks like with Units.

Here is how the Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces equation looks like.

2.9997 = \frac{3.636 \cdot 0.8316}{0.0504 \cdot 20}

2.9997m = \frac{3.636kN \cdot 0.8316m²/s}{0.0504kN \cdot 20m/s}

2.9997 = \frac{3.636 \cdot 0.8316}{0.0504 \cdot 20}

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

Follow our step by step solution on how to calculate Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces?

FIRST Step Consider the formula

L = \frac{F i \cdot ν}{F v \cdot V f}

Next Step Substitute values of Variables

∴

L = \frac{3.636kN \cdot 0.8316m²/s}{0.0504kN \cdot 20m/s}

Next Step Convert Units

∴

L = \frac{3636N \cdot 0.8316m²/s}{50.4N \cdot 20m/s}

Next Step Prepare to Evaluate

∴

L = \frac{3636 \cdot 0.8316}{50.4 \cdot 20}

LAST Step Evaluate

∴

L = 2.9997m

Length given Kinematic Viscosity, 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

Kinematic Viscosity for Model Analysis

Kinematic viscosity for model analysis is a measure of a fluid's internal resistance to flow under gravitational forces.

Symbol: ν

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Kinematic Viscosity for Model Analysis

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

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 for Ratio of Inertial Forces and Viscous Forces

L = \frac{F i \cdot μ viscosity}{F v \cdot ρ fluid \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 given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces?

Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces evaluator uses Characteristic length = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Velocity of Fluid) to evaluate the Characteristic length, The Length given Kinematic Viscosity, 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 given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces using this online evaluator? To use this online evaluator for Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces, enter Inertia Forces (F_i), Kinematic Viscosity for Model Analysis (ν), Viscous Force (F_v) & Velocity of Fluid (V_f) and hit the calculate button.

FAQs on Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces

What is the formula to find Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces?

The formula of Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces is expressed as Characteristic length = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Velocity of Fluid). Here is an example- 2.9997 = (3636*0.8316)/(50.4*20).

How to calculate Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces?

With Inertia Forces (F_i), Kinematic Viscosity for Model Analysis (ν), Viscous Force (F_v) & Velocity of Fluid (V_f) we can find Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces using the formula - Characteristic length = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*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*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid)

Can the Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces be negative?

Yes, the Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces, measured in Length can be negative.

Which unit is used to measure Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces?

Length given Kinematic Viscosity, 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 given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces can be measured.

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

​GoLength for Ratio of Inertial Forces and Viscous Forces Formula

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

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

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

FAQs on Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces

Variable Name

GoLength for Ratio of Inertial Forces and Viscous Forces Formula