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Nose Radius of Cylinder-Wedge Formula

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Radius is a radial line from the focus to any point of a curve. Check FAQs

r = \frac{𝛿}{0.386 \cdot \exp (\frac{4.67}{M^{2}})}

r - Radius?𝛿 - Local Shock-Detachment Distance?M - Mach Number?

Nose Radius of Cylinder-Wedge Example

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Here is how the Nose Radius of Cylinder-Wedge equation looks like with Values.

Here is how the Nose Radius of Cylinder-Wedge equation looks like with Units.

Here is how the Nose Radius of Cylinder-Wedge equation looks like.

57.1987 = \frac{23.75}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

57.1987mm = \frac{23.75mm}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

57.1987 = \frac{23.75}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

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Nose Radius of Cylinder-Wedge Solution

Follow our step by step solution on how to calculate Nose Radius of Cylinder-Wedge?

FIRST Step Consider the formula

r = \frac{𝛿}{0.386 \cdot \exp (\frac{4.67}{M^{2}})}

Next Step Substitute values of Variables

∴

r = \frac{23.75mm}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

Next Step Convert Units

∴

r = \frac{0.0238m}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

Next Step Prepare to Evaluate

∴

r = \frac{0.0238}{0.386 \cdot \exp (\frac{4.67}{8^{2}})}

Next Step Evaluate

∴

r = 0.0571987296943239m

Next Step Convert to Output's Unit

∴

r = 57.1987296943239mm

LAST Step Rounding Answer

∴

r = 57.1987mm

Nose Radius of Cylinder-Wedge Formula Elements

Variables

Functions

Radius

Radius is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius

Local Shock-Detachment Distance

Local shock-Detachment Distance is the distance of shock formation from leading edge.

Symbol: 𝛿

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Local Shock-Detachment Distance

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Shock Dynamics and Aerodynamic Shape category

Go Grid Point Calculation for Shock Waves

ζ = \frac{y - b}{𝛿}

Go Mach Wave behind Shock

M 2 = \frac{V ∞ - W m}{c s}

Go Mach Wave behind Shock with Mach Infinity

M 1 = M - \frac{W}{c s}

Go Local Shock Velocity Equation

W = c s \cdot (M - M 1)

How to Evaluate Nose Radius of Cylinder-Wedge?

Nose Radius of Cylinder-Wedge evaluator uses Radius = Local Shock-Detachment Distance/(0.386*exp(4.67/(Mach Number^2))) to evaluate the Radius, The Nose Radius of Cylinder-Wedge formula is defined as a measure of the radius of a cylinder-wedge shape in hypersonic inviscid flow, which is critical in understanding the aerodynamic characteristics of vehicles and projectiles at high speeds, particularly in the context of re-entry vehicles and spacecraft. Radius is denoted by r symbol.

How to evaluate Nose Radius of Cylinder-Wedge using this online evaluator? To use this online evaluator for Nose Radius of Cylinder-Wedge, enter Local Shock-Detachment Distance (𝛿) & Mach Number (M) and hit the calculate button.

FAQs on Nose Radius of Cylinder-Wedge

What is the formula to find Nose Radius of Cylinder-Wedge?

The formula of Nose Radius of Cylinder-Wedge is expressed as Radius = Local Shock-Detachment Distance/(0.386*exp(4.67/(Mach Number^2))). Here is an example- 46481.49 = 0.02375/(0.386*exp(4.67/(8^2))).

How to calculate Nose Radius of Cylinder-Wedge?

With Local Shock-Detachment Distance (𝛿) & Mach Number (M) we can find Nose Radius of Cylinder-Wedge using the formula - Radius = Local Shock-Detachment Distance/(0.386*exp(4.67/(Mach Number^2))). This formula also uses Exponential Growth (exp) function(s).

Can the Nose Radius of Cylinder-Wedge be negative?

No, the Nose Radius of Cylinder-Wedge, measured in Length cannot be negative.

Which unit is used to measure Nose Radius of Cylinder-Wedge?

Nose Radius of Cylinder-Wedge is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nose Radius of Cylinder-Wedge can be measured.

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Nose Radius of Cylinder-Wedge Formula

Nose Radius of Cylinder-Wedge Example

Nose Radius of Cylinder-Wedge Solution

Nose Radius of Cylinder-Wedge Formula Elements

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Nose Radius of Cylinder-Wedge?

FAQs on Nose Radius of Cylinder-Wedge

Variable Name