Transformed Conical Variable with Wave Angle Calculator

✖Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.ⓘ Wave Angle [β]			+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%

✖Transformed Conical Variable With Wave Angle is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken using wave angle.ⓘ Transformed Conical Variable with Wave Angle [θ_wave]

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Formula

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Transformed Conical Variable with Wave Angle

Formula

`"θ"_{"wave"} = ("β"*(180/pi))/"λ"`

Example

`"32.77319"=("0.286rad"*(180/pi))/"0.5"`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF

Transformed Conical Variable with Wave Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio
θ_wave = (β*(180/pi))/λ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Transformed Conical Variable With Wave Angle - Transformed Conical Variable With Wave Angle is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken using wave angle.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

STEP 1: Convert Input(s) to Base Unit

Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_wave = (β*(180/pi))/λ --> (0.286*(180/pi))/0.5

Evaluating ... ...

θ_wave = 32.7731858814831

STEP 3: Convert Result to Output's Unit

32.7731858814831 --> No Conversion Required

FINAL ANSWER

32.7731858814831 ≈ 32.77319 <-- Transformed Conical Variable With Wave Angle

(Calculation completed in 00.020 seconds)

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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

Transformed Conical Variable with Wave Angle Formula

Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio
θ_wave = (β*(180/pi))/λ

What is a 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 Transformed Conical Variable with Wave Angle?

Transformed Conical Variable with Wave Angle calculator uses Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio to calculate the Transformed Conical Variable With Wave Angle, The Transformed conical variable with wave angle formula is defined as the ratio of wave angle to slenderness ratio. Transformed Conical Variable With Wave Angle is denoted by θ_wave symbol.

How to calculate Transformed Conical Variable with Wave Angle using this online calculator? To use this online calculator for Transformed Conical Variable with Wave Angle, enter Wave Angle (β) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Transformed Conical Variable with Wave Angle calculation can be explained with given input values -> 32.77319 = (0.286*(180/pi))/0.5.

FAQ

What is Transformed Conical Variable with Wave Angle?

The Transformed conical variable with wave angle formula is defined as the ratio of wave angle to slenderness ratio and is represented as θ_wave = (β*(180/pi))/λ or Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio. Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle & The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

How to calculate Transformed Conical Variable with Wave Angle?

The Transformed conical variable with wave angle formula is defined as the ratio of wave angle to slenderness ratio is calculated using Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio. To calculate Transformed Conical Variable with Wave Angle, you need Wave Angle (β) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Wave Angle & Slenderness Ratio 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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