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Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Formula

GoVelocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces Formula

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

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

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

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Example

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Here is how the Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model equation looks like with Values.

Here is how the Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model equation looks like with Units.

Here is how the Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model equation looks like.

20.0233 = \frac{3.636 \cdot 10.2}{0.0504 \cdot 1.225 \cdot 3}

20.0233m/s = \frac{3.636kN \cdot 10.2P}{0.0504kN \cdot 1.225kg/m³ \cdot 3m}

20.0233 = \frac{3.636 \cdot 10.2}{0.0504 \cdot 1.225 \cdot 3}

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Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Solution

Follow our step by step solution on how to calculate Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V f = \frac{3.636kN \cdot 10.2P}{0.0504kN \cdot 1.225kg/m³ \cdot 3m}

Next Step Convert Units

∴

V f = \frac{3636N \cdot 1.02Pa*s}{50.4N \cdot 1.225kg/m³ \cdot 3m}

Next Step Prepare to Evaluate

∴

V f = \frac{3636 \cdot 1.02}{50.4 \cdot 1.225 \cdot 3}

Next Step Evaluate

∴

V f = 20.0233236151604m/s

LAST Step Rounding Answer

∴

V f = 20.0233m/s

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Formula Elements

Variables

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

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

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

Other Formulas to find Velocity of Fluid

Go Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces

V f = \frac{F i \cdot ν}{F v \cdot L}

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 Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

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

How to evaluate Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model using this online evaluator? To use this online evaluator for Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model, enter Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Characteristic length (L) and hit the calculate button.

FAQs on Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model

What is the formula to find Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

The formula of Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model is expressed as Velocity of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Characteristic length). Here is an example- 20.02332 = (3636*1.02)/(50.4*1.225*3).

How to calculate Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

With Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Characteristic length (L) we can find Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model using the formula - Velocity of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Characteristic length).

What are the other ways to Calculate Velocity of Fluid?

Here are the different ways to Calculate Velocity of Fluid-

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

Can the Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model be negative?

Yes, the Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model, measured in Speed can be negative.

Which unit is used to measure Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model can be measured.

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Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Formula

​GoVelocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces Formula

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Example

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Solution

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model Formula Elements

Other Formulas to find Velocity of Fluid

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

How to Evaluate Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model?

FAQs on Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model

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GoVelocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces Formula