Freestream Density Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.ⓘ Emissivity [ε]			+10% -10%
✖The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖Radius of Nose is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Nose [r_nose]			+10% -10%

✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]

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Formula

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Freestream Density

Formula

`"ρ"_{"∞"} = "μ"_{"viscosity"}/("ε"^2*"V"_{"∞"}*"r"_{"nose"})`

Example

`"1.175092kg/m³"="375P"/(("0.95")^2*"68m/s"*"0.52m")`

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Download Computational Fluid Dynamic Solutions Formulas PDF

Freestream Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose)
ρ_∞ = μ_viscosity/(ε^2*V_∞*r_nose)
This formula uses 5 Variables

Variables Used

Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Emissivity - Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
Radius of Nose - (Measured in Meter) - Radius of Nose is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 375 Poise --> 37.5 Pascal Second (Check conversion here)
Emissivity: 0.95 --> No Conversion Required
Freestream Velocity: 68 Meter per Second --> 68 Meter per Second No Conversion Required
Radius of Nose: 0.52 Meter --> 0.52 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_∞ = μ_viscosity/(ε^2*V_∞*r_nose) --> 37.5/(0.95^2*68*0.52)

Evaluating ... ...

ρ_∞ = 1.17509181384039

STEP 3: Convert Result to Output's Unit

1.17509181384039 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.17509181384039 ≈ 1.175092 Kilogram per Cubic Meter <-- Freestream Density

(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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< 11 Computational Fluid Dynamic Solutions Calculators

Emissivity given Reference Temperature

Go Emissivity = sqrt(Dynamic Viscosity/(Freestream Density*sqrt(Reference Temperature)*Radius of Nose))

Nose Radius of Coordinate System given Reference Temperature

Go Radius of Nose = Dynamic Viscosity/(Emissivity^2*Freestream Density*sqrt(Reference Temperature))

Freestream Density given Reference Temperature

Go Freestream Density = Dynamic Viscosity/(Emissivity^2*sqrt(Reference Temperature)*Radius of Nose)

Reference Temperature given Emissivity

Go Reference Temperature = sqrt(Dynamic Viscosity/(Emissivity^2*Freestream Density*Radius of Nose))

Reference Viscosity Given Reference Temperature

Go Dynamic Viscosity = Emissivity^2*Freestream Density*sqrt(Reference Temperature)*Radius of Nose

Emissivity

Go Emissivity = sqrt(Dynamic Viscosity/(Freestream Density*Freestream Velocity*Radius of Nose))

Nose Radius of Coordinate System

Go Radius of Nose = Dynamic Viscosity/(Emissivity^2*Freestream Density*Freestream Velocity)

Freestream Velocity

Go Freestream Velocity = Dynamic Viscosity/(Emissivity^2*Freestream Density*Radius of Nose)

Freestream Density

Go Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose)

Reference Viscosity

Go Dynamic Viscosity = Emissivity^2*Freestream Density*Freestream Velocity*Radius of Nose

Reference Temperature given Freestream Velocity

Go Reference Temperature = Freestream Velocity^2

Freestream Density Formula

Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose)
ρ_∞ = μ_viscosity/(ε^2*V_∞*r_nose)

What is emissivity?

Emissivity is the measure of an object's ability to emit infrared energy. Emitted energy indicates the temperature of the object. Emissivity can have a value from 0

How to Calculate Freestream Density?

Freestream Density calculator uses Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose) to calculate the Freestream Density, The Freestream density formula is defined as the dynamic viscosity of the fluid divided by the square of the emissivity, multiplied by the product of the freestream velocity and the radius of the nose. Freestream Density is denoted by ρ_∞ symbol.

How to calculate Freestream Density using this online calculator? To use this online calculator for Freestream Density, enter Dynamic Viscosity (μ_viscosity), Emissivity (ε), Freestream Velocity (V_∞) & Radius of Nose (r_nose) and hit the calculate button. Here is how the Freestream Density calculation can be explained with given input values -> 0.031962 = 37.5/(0.95^2*68*0.52).

FAQ

What is Freestream Density?

The Freestream density formula is defined as the dynamic viscosity of the fluid divided by the square of the emissivity, multiplied by the product of the freestream velocity and the radius of the nose and is represented as ρ_∞ = μ_viscosity/(ε^2*V_∞*r_nose) or Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95, The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air & Radius of Nose is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

How to calculate Freestream Density?

The Freestream density formula is defined as the dynamic viscosity of the fluid divided by the square of the emissivity, multiplied by the product of the freestream velocity and the radius of the nose is calculated using Freestream Density = Dynamic Viscosity/(Emissivity^2*Freestream Velocity*Radius of Nose). To calculate Freestream Density, you need Dynamic Viscosity (μ_viscosity), Emissivity (ε), Freestream Velocity (V_∞) & Radius of Nose (r_nose). With our tool, you need to enter the respective value for Dynamic Viscosity, Emissivity, Freestream Velocity & Radius of Nose and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Freestream Density?

In this formula, Freestream Density uses Dynamic Viscosity, Emissivity, Freestream Velocity & Radius of Nose. We can use 1 other way(s) to calculate the same, which is/are as follows -

Freestream Density = Dynamic Viscosity/(Emissivity^2*sqrt(Reference Temperature)*Radius of Nose)

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