Nose Radius of Cylinder-Wedge Calculator

✖Local shock-detachment distance , is the distance of shock formation from leading edge.ⓘ Local Shock-detachment Distance [𝛿]			+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%

✖Radius is a radial line from the focus to any point of a curve.ⓘ Nose Radius of Cylinder-Wedge [r]

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Formula

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Nose Radius of Cylinder-Wedge

Formula

`"r" = "𝛿"/(0.386*exp(4.67/("M"^2)))`

Example

`"46.48149mm"="19.3mm"/(0.386*exp(4.67/(("8")^2)))`

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Nose Radius of Cylinder-Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Local Shock-detachment Distance - (Measured in Meter) - Local shock-detachment distance , is the distance of shock formation from leading edge.
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

Local Shock-detachment Distance: 19.3 Millimeter --> 0.0193 Meter (Check conversion here)
Mach Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = 𝛿/(0.386*exp(4.67/(M^2))) --> 0.0193/(0.386*exp(4.67/(8^2)))

Evaluating ... ...

r = 0.0464814940252821

STEP 3: Convert Result to Output's Unit

0.0464814940252821 Meter -->46.4814940252821 Millimeter (Check conversion here)

FINAL ANSWER

46.4814940252821 ≈ 46.48149 Millimeter <-- Radius

(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!

< 10+ Shock Dynamics and Aerodynamic Shape Calculators

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Go Pressure Ratio = (1+((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Ratio of New and Old Temperature

Go Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)

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

Nose Radius of Cylinder-Wedge

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

Nose Radius of Sphere Cone

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

Detachment Distance of Cylinder Wedge Body Shape

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

Detachment Distance of Sphere Cone Body Shape

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

Nose Radius of Cylinder-Wedge Formula

Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2)))
r = 𝛿/(0.386*exp(4.67/(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 Nose Radius of Cylinder-Wedge?

Nose Radius of Cylinder-Wedge calculator uses Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2))) to calculate the Radius, The Nose radius of cylinder-wedge formula is defined as the ratio of shock wave detachment distance to the exponent of inverse of the square of mach number at infinity. Radius is denoted by r symbol.

How to calculate Nose Radius of Cylinder-Wedge using this online calculator? To use this online calculator for Nose Radius of Cylinder-Wedge, enter Local Shock-detachment Distance (𝛿) & Mach Number (M) and hit the calculate button. Here is how the Nose Radius of Cylinder-Wedge calculation can be explained with given input values -> 46481.49 = 0.0193/(0.386*exp(4.67/(8^2))).

FAQ

What is Nose Radius of Cylinder-Wedge?

The Nose radius of cylinder-wedge formula is defined as the ratio of shock wave detachment distance to the exponent of inverse of the square of mach number at infinity and is represented as r = 𝛿/(0.386*exp(4.67/(M^2))) or Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2))). Local shock-detachment distance , is the distance of shock formation from leading edge & Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Nose Radius of Cylinder-Wedge?

The Nose radius of cylinder-wedge formula is defined as the ratio of shock wave detachment distance to the exponent of inverse of the square of mach number at infinity is calculated using Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2))). To calculate Nose Radius of Cylinder-Wedge, you need Local Shock-detachment Distance (𝛿) & Mach Number (M). With our tool, you need to enter the respective value for Local Shock-detachment Distance & 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 Radius?

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

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

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