Non-Dimensional Density Calculator

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [LD]			+10% -10%

✖Non Dimensionalized Density is the partial or full removal of physical dimensions or density from an equation to make it simpler.ⓘ Non-Dimensional Density [ρ_-]

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Formula

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Non-Dimensional Density

Formula

`"ρ"_{"-"} = "ρ"/"LD"`

Example

`"4.300259"="663.1kg/m³"/"154.2kg/m³"`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF

Non-Dimensional Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Density = Density/Liquid Density
ρ_- = ρ/LD
This formula uses 3 Variables

Variables Used

Non Dimensionalized Density - Non Dimensionalized Density is the partial or full removal of physical dimensions or density from an equation to make it simpler.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.

STEP 1: Convert Input(s) to Base Unit

Density: 663.1 Kilogram per Cubic Meter --> 663.1 Kilogram per Cubic Meter No Conversion Required
Liquid Density: 154.2 Kilogram per Cubic Meter --> 154.2 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_- = ρ/LD --> 663.1/154.2

Evaluating ... ...

ρ_- = 4.30025940337224

STEP 3: Convert Result to Output's Unit

4.30025940337224 --> No Conversion Required

FINAL ANSWER

4.30025940337224 ≈ 4.300259 <-- Non Dimensionalized Density

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Approximate Methods of Hypersonic Inviscid Flowfields » Non-Dimensional Density

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Amrita School of Engineering (ASE), Vallikavu

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< 11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number

Go Non Dimensionalized Pressure For High Mech Number = (2*(sin(Wave Angle)^2))/(Specific Heat Ratio+1)

Non-Dimensional Parallel Velocity Component for High Mach Number

Go Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1)

Transformed Conical Variable with Wave Angle

Go Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio

Transformed Conical Variable

Go Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Radius for Hypersonic Vehicles

Go Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Perpendicular Velocity Component for High Mach Number

Go Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)

Transformed Conical Variable with Cone Angle in Hypersonic Flow

Go Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone

Non-Dimensional Pressure

Go Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)

Non-Dimensional Density for High Mach Number

Go Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

Slenderness Ratio with Cone Radius for Hypersonic Vehicle

Go Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone

Non-Dimensional Density

Go Non Dimensionalized Density = Density/Liquid Density

Non-Dimensional Density Formula

Non Dimensionalized Density = Density/Liquid Density
ρ_- = ρ/LD

What is Non-dimensionalization?

Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables. This technique can simplify and parameterize problems where measured units are involved.

How to Calculate Non-Dimensional Density?

Non-Dimensional Density calculator uses Non Dimensionalized Density = Density/Liquid Density to calculate the Non Dimensionalized Density, The Non-dimensional density formula is defined as the ratio of density to the lfree stream density of the liquid Assuming steady flow. Non Dimensionalized Density is denoted by ρ_- symbol.

How to calculate Non-Dimensional Density using this online calculator? To use this online calculator for Non-Dimensional Density, enter Density (ρ) & Liquid Density (LD) and hit the calculate button. Here is how the Non-Dimensional Density calculation can be explained with given input values -> 6.465629 = 663.1/154.2.

FAQ

What is Non-Dimensional Density?

The Non-dimensional density formula is defined as the ratio of density to the lfree stream density of the liquid Assuming steady flow and is represented as ρ_- = ρ/LD or Non Dimensionalized Density = Density/Liquid Density. The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Liquid Density is mass per unit volume of the liquid.

How to calculate Non-Dimensional Density?

The Non-dimensional density formula is defined as the ratio of density to the lfree stream density of the liquid Assuming steady flow is calculated using Non Dimensionalized Density = Density/Liquid Density. To calculate Non-Dimensional Density, you need Density (ρ) & Liquid Density (LD). With our tool, you need to enter the respective value for Density & Liquid Density 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 Non Dimensionalized Density?

In this formula, Non Dimensionalized Density uses Density & Liquid Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

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