Detachment Distance of Cylinder Wedge 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 Cylinder Wedge Body Shape [𝛿]

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Detachment Distance of Cylinder Wedge Body Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2))
𝛿 = r*0.386*exp(4.67/(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*0.386*exp(4.67/(M^2)) --> 0.0572*0.386*exp(4.67/(8^2))

Evaluating ... ...

𝛿 = 0.0237505274550671

STEP 3: Convert Result to Output's Unit

0.0237505274550671 Meter -->23.7505274550671 Millimeter (Check conversion here)

FINAL ANSWER

23.7505274550671 ≈ 23.75053 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

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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 Cylinder Wedge Body Shape Formula

Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2))
𝛿 = r*0.386*exp(4.67/(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 Cylinder Wedge Body Shape?

Detachment Distance of Cylinder Wedge Body Shape calculator uses Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2)) to calculate 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 calculate Detachment Distance of Cylinder Wedge Body Shape using this online calculator? To use this online calculator for Detachment Distance of Cylinder Wedge Body Shape, enter Radius (r) & Mach Number (M) and hit the calculate button. Here is how the Detachment Distance of Cylinder Wedge Body Shape calculation can be explained with given input values -> 23750.53 = 0.0572*0.386*exp(4.67/(8^2)).

FAQ

What is Detachment Distance of Cylinder Wedge Body Shape?

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 and is represented as 𝛿 = r*0.386*exp(4.67/(M^2)) or Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(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 Cylinder Wedge Body Shape?

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 is calculated using Local Shock-Detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2)). To calculate Detachment Distance of Cylinder Wedge 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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