Detachment Distance of Sphere Cone Body Shape Calculator

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%

✖Local shock-detachment distance , is the distance of shock formation from leading edge.ⓘ Detachment Distance of Sphere Cone Body Shape [𝛿]

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Detachment Distance of Sphere Cone Body Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2))
𝛿 = r*0.143*exp(3.24/(M^2))
This formula uses 1 Functions, 3 Variables

Functions Used

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

Variables Used

Local Shock-detachment Distance - (Measured in Meter) - Local shock-detachment distance , is the distance of shock formation from leading edge.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Radius: 57.2 Millimeter --> 0.0572 Meter (Check conversion here)
Mach Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛿 = r*0.143*exp(3.24/(M^2)) --> 0.0572*0.143*exp(3.24/(8^2))

Evaluating ... ...

𝛿 = 0.00860435310041743

STEP 3: Convert Result to Output's Unit

0.00860435310041743 Meter -->8.60435310041743 Millimeter (Check conversion here)

FINAL ANSWER

8.60435310041743 ≈ 8.604353 Millimeter <-- Local Shock-detachment Distance

(Calculation completed in 00.004 seconds)

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Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Shock Dynamics and Aerodynamic Shape Calculators

Grid Point Calculation for Shock Waves

LaTeX Go Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-detachment Distance

Mach Wave behind Shock

LaTeX Go Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound

Local Shock Velocity Equation

LaTeX Go Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock)

Mach Wave behind Shock with Mach Infinity

LaTeX Go Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound

Detachment Distance of Sphere Cone Body Shape Formula

LaTeX Go

Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2))
𝛿 = r*0.143*exp(3.24/(M^2))

What is a shock wave?

The shock wave, a strong pressure wave in an elastic medium such as air, water, or a solid substance, produced by supersonic aircraft, explosions, lightning, or other phenomena that create violent changes in pressure.

How to Calculate Detachment Distance of Sphere Cone Body Shape?

Detachment Distance of Sphere Cone Body Shape calculator uses Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2)) to calculate the Local Shock-detachment Distance, 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 calculate Detachment Distance of Sphere Cone Body Shape using this online calculator? To use this online calculator for Detachment Distance of Sphere Cone Body Shape, enter Radius (r) & Mach Number (M) and hit the calculate button. Here is how the Detachment Distance of Sphere Cone Body Shape calculation can be explained with given input values -> 8604.353 = 0.0572*0.143*exp(3.24/(8^2)).

FAQ

What is Detachment Distance of Sphere Cone Body Shape?

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 and is represented as 𝛿 = r*0.143*exp(3.24/(M^2)) or Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2)). Radius is a radial line from the focus to any point of a curve & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Detachment Distance of Sphere Cone Body Shape?

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 is calculated using Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2)). To calculate Detachment Distance of Sphere Cone Body Shape, you need Radius (r) & Mach Number (M). With our tool, you need to enter the respective value for Radius & Mach Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Local Shock-detachment Distance?

In this formula, Local Shock-detachment Distance uses Radius & Mach Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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