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Detachment Distance of Sphere Cone Body Shape Formula

GoDetachment 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 0.143 \cdot \exp (\frac{3.24}{M^{2}})

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

Detachment Distance of Sphere Cone Body Shape Example

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Here is how the Detachment Distance of Sphere Cone Body Shape equation looks like with Values.

Here is how the Detachment Distance of Sphere Cone Body Shape equation looks like with Units.

Here is how the Detachment Distance of Sphere Cone Body Shape equation looks like.

8.6044 = 57.2 \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

8.6044mm = 57.2mm \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

8.6044 = 57.2 \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

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Detachment Distance of Sphere Cone Body Shape Solution

Follow our step by step solution on how to calculate Detachment Distance of Sphere Cone Body Shape?

FIRST Step Consider the formula

𝛿 = r \cdot 0.143 \cdot \exp (\frac{3.24}{M^{2}})

Next Step Substitute values of Variables

∴

𝛿 = 57.2mm \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

Next Step Convert Units

∴

𝛿 = 0.0572m \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

Next Step Prepare to Evaluate

∴

𝛿 = 0.0572 \cdot 0.143 \cdot \exp (\frac{3.24}{8^{2}})

Next Step Evaluate

∴

𝛿 = 0.00860435310041743m

Next Step Convert to Output's Unit

∴

𝛿 = 8.60435310041743mm

LAST Step Rounding Answer

∴

𝛿 = 8.6044mm

Detachment Distance of Sphere Cone 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 to find Local Shock-Detachment Distance

Go Detachment Distance of Cylinder Wedge Body Shape

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

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 speed}

Go Mach Wave behind Shock with Mach Infinity

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

Go Local Shock Velocity Equation

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

How to Evaluate Detachment Distance of Sphere Cone Body Shape?

Detachment Distance of Sphere Cone Body Shape evaluator uses Detachment Distance of Sphere Cone Body Shape = Radius*0.143*exp(3.24/(Mach Number^2)) to evaluate the Local Shock-Detachment Distance, The Detachment Distance of Sphere Cone Body Shape formula is defined as a measure of the distance from the tip of the sphere cone body to the point where the flow detaches in hypersonic inviscid flow, providing a critical parameter in aerodynamic design and analysis. Local Shock-Detachment Distance is denoted by 𝛿 symbol.

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

FAQs on Detachment Distance of Sphere Cone Body Shape

What is the formula to find Detachment Distance of Sphere Cone Body Shape?

The formula of Detachment Distance of Sphere Cone Body Shape is expressed as Detachment Distance of Sphere Cone Body Shape = Radius*0.143*exp(3.24/(Mach Number^2)). Here is an example- 8604.353 = 0.0572*0.143*exp(3.24/(8^2)).

How to calculate Detachment Distance of Sphere Cone Body Shape?

With Radius (r) & Mach Number (M) we can find Detachment Distance of Sphere Cone Body Shape using the formula - Detachment Distance of Sphere Cone Body Shape = Radius*0.143*exp(3.24/(Mach Number^2)). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Local Shock-Detachment Distance?

Here are the different ways to Calculate Local Shock-Detachment Distance-

Local Shock-Detachment Distance=Radius*0.386*exp(4.67/(Mach Number^2))

Can the Detachment Distance of Sphere Cone Body Shape be negative?

No, the Detachment Distance of Sphere Cone Body Shape, measured in Length cannot be negative.

Which unit is used to measure Detachment Distance of Sphere Cone Body Shape?

Detachment Distance of Sphere Cone 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 Sphere Cone Body Shape can be measured.

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Detachment Distance of Sphere Cone Body Shape Formula

​GoDetachment Distance of Cylinder Wedge Body Shape Formula

Detachment Distance of Sphere Cone Body Shape Example

Detachment Distance of Sphere Cone Body Shape Solution

Detachment Distance of Sphere Cone Body Shape Formula Elements

Other Formulas to find Local Shock-Detachment Distance

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Detachment Distance of Sphere Cone Body Shape?

FAQs on Detachment Distance of Sphere Cone Body Shape

Variable Name

GoDetachment Distance of Cylinder Wedge Body Shape Formula