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Detachment Distance of Cylinder Wedge Body Shape Formula

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

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

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

Detachment Distance of Cylinder Wedge Body Shape Example

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Here is how the Detachment Distance of Cylinder Wedge Body Shape equation looks like with Values.

Here is how the Detachment Distance of Cylinder Wedge Body Shape equation looks like with Units.

Here is how the Detachment Distance of Cylinder Wedge Body Shape equation looks like.

23.7505 = 57.2 \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

23.7505mm = 57.2mm \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

23.7505 = 57.2 \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

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Detachment Distance of Cylinder Wedge Body Shape Solution

Follow our step by step solution on how to calculate Detachment Distance of Cylinder Wedge Body Shape?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝛿 = 57.2mm \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

Next Step Convert Units

∴

𝛿 = 0.0572m \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

Next Step Prepare to Evaluate

∴

𝛿 = 0.0572 \cdot 0.386 \cdot \exp (\frac{4.67}{8^{2}})

Next Step Evaluate

∴

𝛿 = 0.0237505274550671m

Next Step Convert to Output's Unit

∴

𝛿 = 23.7505274550671mm

LAST Step Rounding Answer

∴

𝛿 = 23.7505mm

Detachment Distance of Cylinder Wedge Body Shape Formula Elements

Variables

Functions

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

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

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 Detachment Distance of Cylinder Wedge Body Shape?

Detachment Distance of Cylinder Wedge Body Shape evaluator uses Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2)) to evaluate the Local Shock-Detachment Distance, The Detachment Distance of Cylinder Wedge Body Shape formula is defined as a measure of the distance from the tip of the cylinder to the point where the flow detaches, which is a critical parameter in hypersonic inviscid flow, characterizing the interaction between the body shape and the surrounding fluid. Local Shock-Detachment Distance is denoted by 𝛿 symbol.

How to evaluate Detachment Distance of Cylinder Wedge Body Shape using this online evaluator? To use this online evaluator for Detachment Distance of Cylinder Wedge Body Shape, enter Radius (r) & Mach Number (M) and hit the calculate button.

FAQs on Detachment Distance of Cylinder Wedge Body Shape

What is the formula to find Detachment Distance of Cylinder Wedge Body Shape?

The formula of Detachment Distance of Cylinder Wedge Body Shape is expressed as Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2)). Here is an example- 23750.53 = 0.0572*0.386*exp(4.67/(8^2)).

How to calculate Detachment Distance of Cylinder Wedge Body Shape?

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

Can the Detachment Distance of Cylinder Wedge Body Shape be negative?

No, the Detachment Distance of Cylinder Wedge Body Shape, measured in Length cannot be negative.

Which unit is used to measure Detachment Distance of Cylinder Wedge Body Shape?

Detachment Distance of Cylinder Wedge Body Shape is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Detachment Distance of Cylinder Wedge Body Shape can be measured.

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Detachment Distance of Cylinder Wedge Body Shape Formula

Detachment Distance of Cylinder Wedge Body Shape Example

Detachment Distance of Cylinder Wedge Body Shape Solution

Detachment Distance of Cylinder Wedge Body Shape Formula Elements

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Detachment Distance of Cylinder Wedge Body Shape?

FAQs on Detachment Distance of Cylinder Wedge Body Shape

Variable Name