Non-Dimensional Radius for Hypersonic Vehicles Calculator

✖Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Cone [R]			+10% -10%
✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+10% -10%
✖Height of Cone is measure of vertical distance, either vertical extent or vertical position.ⓘ Height of Cone [H]			+10% -10%

✖The Non Dimensionalized Radius is the ratio of base radius to the height of the cone.ⓘ Non-Dimensional Radius for Hypersonic Vehicles [r_-]

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Formula

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Non-Dimensional Radius for Hypersonic Vehicles

Formula

`"r"_{"-"} = "R"/("λ"*"H")`

Example

`"1.904762"="8m"/("0.5"*"8.4m")`

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Non-Dimensional Radius for Hypersonic Vehicles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)
r_- = R/(λ*H)
This formula uses 4 Variables

Variables Used

Non Dimensionalized Radius - The Non Dimensionalized Radius is the ratio of base radius to the height of the cone.
Radius of Cone - (Measured in Meter) - Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Height of Cone - (Measured in Meter) - Height of Cone is measure of vertical distance, either vertical extent or vertical position.

STEP 1: Convert Input(s) to Base Unit

Radius of Cone: 8 Meter --> 8 Meter No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required
Height of Cone: 8.4 Meter --> 8.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_- = R/(λ*H) --> 8/(0.5*8.4)

Evaluating ... ...

r_- = 1.9047619047619

STEP 3: Convert Result to Output's Unit

1.9047619047619 --> No Conversion Required

FINAL ANSWER

1.9047619047619 ≈ 1.904762 <-- Non Dimensionalized Radius

(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 Radius for Hypersonic Vehicles

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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 Radius for Hypersonic Vehicles Formula

Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)
r_- = R/(λ*H)

What is slenderness ratio?

Since the configuration under consideration is slender, the slope at any point is of the
order of ratio of length to diameter of the body

How to Calculate Non-Dimensional Radius for Hypersonic Vehicles?

Non-Dimensional Radius for Hypersonic Vehicles calculator uses Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone) to calculate the Non Dimensionalized Radius, Non-dimensional radius for hypersonic vehicles formula is defined as ratio of base radius to the product of slenderness ratio and height of the cone from which the radius is taken. Non Dimensionalized Radius is denoted by r_- symbol.

How to calculate Non-Dimensional Radius for Hypersonic Vehicles using this online calculator? To use this online calculator for Non-Dimensional Radius for Hypersonic Vehicles, enter Radius of Cone (R), Slenderness Ratio (λ) & Height of Cone (H) and hit the calculate button. Here is how the Non-Dimensional Radius for Hypersonic Vehicles calculation can be explained with given input values -> 1.904762 = 8/(0.5*8.4).

FAQ

What is Non-Dimensional Radius for Hypersonic Vehicles?

Non-dimensional radius for hypersonic vehicles formula is defined as ratio of base radius to the product of slenderness ratio and height of the cone from which the radius is taken and is represented as r_- = R/(λ*H) or Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone). Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length, The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section & Height of Cone is measure of vertical distance, either vertical extent or vertical position.

How to calculate Non-Dimensional Radius for Hypersonic Vehicles?

Non-dimensional radius for hypersonic vehicles formula is defined as ratio of base radius to the product of slenderness ratio and height of the cone from which the radius is taken is calculated using Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone). To calculate Non-Dimensional Radius for Hypersonic Vehicles, you need Radius of Cone (R), Slenderness Ratio (λ) & Height of Cone (H). With our tool, you need to enter the respective value for Radius of Cone, Slenderness Ratio & Height of Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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