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%

✖Detachment Distance of Sphere Cone Body Shape is the distance from the cone's apex to the point on the surface where the boundary layer separates or detaches from the body.ⓘ 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

Detachment Distance of Sphere Cone Body Shape = 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

Detachment Distance of Sphere Cone Body Shape - (Measured in Meter) - Detachment Distance of Sphere Cone Body Shape is the distance from the cone's apex to the point on the surface where the boundary layer separates or detaches from the body.
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 <-- Detachment Distance of Sphere Cone Body Shape

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< Shock Dynamics and Aerodynamic Shape Calculators

Grid Point Calculation for Shock Waves

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

Mach Wave behind Shock

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

Local Shock Velocity Equation

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

Mach Wave behind Shock with Mach Infinity

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

Detachment Distance of Sphere Cone Body Shape Formula

Detachment Distance of Sphere Cone Body Shape = Radius*0.143*exp(3.24/(Mach Number^2))
δ' = r*0.143*exp(3.24/(M^2))

What is 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 Detachment Distance of Sphere Cone Body Shape = Radius*0.143*exp(3.24/(Mach Number^2)) to calculate the Detachment Distance of Sphere Cone Body Shape, 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. Detachment Distance of Sphere Cone Body Shape 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?

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 and is represented as δ' = r*0.143*exp(3.24/(M^2)) or Detachment Distance of Sphere Cone Body Shape = 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?

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 is calculated using Detachment Distance of Sphere Cone Body Shape = 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.

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