Nose Radius of Sphere Cone 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%

✖Nose Radius of Sphere Cone is the radius of the rounded tip (or nose) of a conical shape that transitions into a spherical geometry.ⓘ Nose Radius of Sphere Cone [r_n]

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Nose Radius of Sphere Cone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2)))
r_n = 𝛿/(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

Nose Radius of Sphere Cone - (Measured in Meter) - Nose Radius of Sphere Cone is the radius of the rounded tip (or nose) of a conical shape that transitions into a spherical geometry.
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_n = 𝛿/(0.143*exp(3.24/(M^2))) --> 0.02375/(0.143*exp(3.24/(8^2)))

Evaluating ... ...

r_n = 0.157885198822686

STEP 3: Convert Result to Output's Unit

0.157885198822686 Meter -->157.885198822686 Millimeter (Check conversion here)

FINAL ANSWER

157.885198822686 ≈ 157.8852 Millimeter <-- Nose Radius of Sphere Cone

(Calculation completed in 00.004 seconds)

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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

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 Sphere Cone Formula

Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2)))
r_n = 𝛿/(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 Nose Radius of Sphere Cone?

Nose Radius of Sphere Cone calculator uses Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2))) to calculate the Nose Radius of Sphere Cone, The Nose Radius of Sphere Cone formula is defined as a measure of the radius of a sphere cone in hypersonic inviscid flow, which is a critical parameter in aerodynamics and aerospace engineering, used to study the behavior of fluids at high speeds and low densities. Nose Radius of Sphere Cone is denoted by r_n symbol.

How to calculate Nose Radius of Sphere Cone using this online calculator? To use this online calculator for Nose Radius of Sphere Cone, enter Local Shock-Detachment Distance (𝛿) & Mach Number (M) and hit the calculate button. Here is how the Nose Radius of Sphere Cone calculation can be explained with given input values -> 157885.2 = 0.02375/(0.143*exp(3.24/(8^2))).

FAQ

What is Nose Radius of Sphere Cone?

The Nose Radius of Sphere Cone formula is defined as a measure of the radius of a sphere cone in hypersonic inviscid flow, which is a critical parameter in aerodynamics and aerospace engineering, used to study the behavior of fluids at high speeds and low densities and is represented as r_n = 𝛿/(0.143*exp(3.24/(M^2))) or Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(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 Sphere Cone?

The Nose Radius of Sphere Cone formula is defined as a measure of the radius of a sphere cone in hypersonic inviscid flow, which is a critical parameter in aerodynamics and aerospace engineering, used to study the behavior of fluids at high speeds and low densities is calculated using Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2))). To calculate Nose Radius of Sphere Cone, 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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