Non-Dimensional Density for High Mach Number Calculator

✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [γ]

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

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Formula

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Non-Dimensional Density for High Mach Number

Formula

`"ρ"_{"-"} = ("γ"+1)/("γ"-1)`

Example

`"4.333333"=("1.6"+1)/("1.6"-1)`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF

Non-Dimensional Density for High Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)
ρ_- = (γ+1)/(γ-1)
This formula uses 2 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.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_- = (γ+1)/(γ-1) --> (1.6+1)/(1.6-1)

Evaluating ... ...

ρ_- = 4.33333333333333

STEP 3: Convert Result to Output's Unit

4.33333333333333 --> No Conversion Required

FINAL ANSWER

4.33333333333333 ≈ 4.333333 <-- Non Dimensionalized Density

(Calculation completed in 00.005 seconds)

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Created by Sanjay Krishna

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 for High Mach Number Formula

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

what is Non-dimensionalization?

In fluid mechanics, non-dimensionalization of the Navier–Stokes equations is the conversion of the Navier–Stokes equation to a nondimensional form. This technique can ease the analysis of the problem at hand, and reduce the number of free parameters.

How to Calculate Non-Dimensional Density for High Mach Number?

Non-Dimensional Density for High Mach Number calculator uses Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1) to calculate the Non Dimensionalized Density, The Non-dimensional density for high mach number formula is defined as the ratio of spicific heat ratio plus 1 to specific heat ratio minus 1. Non Dimensionalized Density is denoted by ρ_- symbol.

How to calculate Non-Dimensional Density for High Mach Number using this online calculator? To use this online calculator for Non-Dimensional Density for High Mach Number, enter Specific Heat Ratio (γ) and hit the calculate button. Here is how the Non-Dimensional Density for High Mach Number calculation can be explained with given input values -> 4.333333 = (1.6+1)/(1.6-1).

FAQ

What is Non-Dimensional Density for High Mach Number?

The Non-dimensional density for high mach number formula is defined as the ratio of spicific heat ratio plus 1 to specific heat ratio minus 1 and is represented as ρ_- = (γ+1)/(γ-1) or Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

How to calculate Non-Dimensional Density for High Mach Number?

The Non-dimensional density for high mach number formula is defined as the ratio of spicific heat ratio plus 1 to specific heat ratio minus 1 is calculated using Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1). To calculate Non-Dimensional Density for High Mach Number, you need Specific Heat Ratio (γ). With our tool, you need to enter the respective value for Specific Heat Ratio 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 Specific Heat Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Non Dimensionalized Density = Density/Liquid Density

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