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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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: 23.75 Millimeter --> 0.02375 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))) --> 0.02375/(0.386*exp(4.67/(8^2)))

Evaluating ... ...

r = 0.0571987296943239

STEP 3: Convert Result to Output's Unit

0.0571987296943239 Meter -->57.1987296943239 Millimeter (Check conversion here)

FINAL ANSWER

57.1987296943239 ≈ 57.19873 Millimeter <-- Radius

(Calculation completed in 00.006 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

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 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 a measure of the radius of a cylinder-wedge shape in hypersonic inviscid flow, which is critical in understanding the aerodynamic characteristics of vehicles and projectiles at high speeds, particularly in the context of re-entry vehicles and spacecraft. 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 = 0.02375/(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 a measure of the radius of a cylinder-wedge shape in hypersonic inviscid flow, which is critical in understanding the aerodynamic characteristics of vehicles and projectiles at high speeds, particularly in the context of re-entry vehicles and spacecraft 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 a measure of the radius of a cylinder-wedge shape in hypersonic inviscid flow, which is critical in understanding the aerodynamic characteristics of vehicles and projectiles at high speeds, particularly in the context of re-entry vehicles and spacecraft 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.

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