Grid Point Calculation for Shock Waves Calculator

✖Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.ⓘ Distance from X-Axis [y]			+10% -10%
✖Body Shape in Hypersonic Flow refers to the geometric configuration of an object as it interacts with airflow at hypersonic speeds (Mach 5 and above).ⓘ Body Shape in Hypersonic Flow [b]			+10% -10%
✖Local shock-Detachment Distance is the distance of shock formation from leading edge.ⓘ Local Shock-Detachment Distance [𝛿]			+10% -10%

✖Grid Points is the grids that is formed to understand the shock wave and study about the detachment distance.ⓘ Grid Point Calculation for Shock Waves [ζ]

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Grid Point Calculation for Shock Waves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance
ζ = (y-b)/𝛿
This formula uses 4 Variables

Variables Used

Grid Points - Grid Points is the grids that is formed to understand the shock wave and study about the detachment distance.
Distance from X-Axis - (Measured in Meter) - Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.
Body Shape in Hypersonic Flow - (Measured in Meter) - Body Shape in Hypersonic Flow refers to the geometric configuration of an object as it interacts with airflow at hypersonic speeds (Mach 5 and above).
Local Shock-Detachment Distance - (Measured in Meter) - Local shock-Detachment Distance is the distance of shock formation from leading edge.

STEP 1: Convert Input(s) to Base Unit

Distance from X-Axis: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Body Shape in Hypersonic Flow: 64 Millimeter --> 0.064 Meter (Check conversion here)
Local Shock-Detachment Distance: 23.75 Millimeter --> 0.02375 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = (y-b)/𝛿 --> (2.2-0.064)/0.02375

Evaluating ... ...

ζ = 89.9368421052632

STEP 3: Convert Result to Output's Unit

89.9368421052632 --> No Conversion Required

FINAL ANSWER

89.9368421052632 ≈ 89.93684 <-- Grid Points

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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

Grid Point Calculation for Shock Waves Formula

Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance
ζ = (y-b)/𝛿

what is Shock Wave?

Shock wave, strong pressure wave in any 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 Grid Point Calculation for Shock Waves?

Grid Point Calculation for Shock Waves calculator uses Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance to calculate the Grid Points, The Grid Point Calculation for Shock Waves formula is defined as a method to determine the location of a shock wave in hypersonic inviscid flow, providing a crucial parameter in the study of high-speed fluid dynamics, particularly in aerospace engineering and aerodynamics. Grid Points is denoted by ζ symbol.

How to calculate Grid Point Calculation for Shock Waves using this online calculator? To use this online calculator for Grid Point Calculation for Shock Waves, enter Distance from X-Axis (y), Body Shape in Hypersonic Flow (b) & Local Shock-Detachment Distance (𝛿) and hit the calculate button. Here is how the Grid Point Calculation for Shock Waves calculation can be explained with given input values -> 89.93684 = (2.2-0.064)/0.02375.

FAQ

What is Grid Point Calculation for Shock Waves?

The Grid Point Calculation for Shock Waves formula is defined as a method to determine the location of a shock wave in hypersonic inviscid flow, providing a crucial parameter in the study of high-speed fluid dynamics, particularly in aerospace engineering and aerodynamics and is represented as ζ = (y-b)/𝛿 or Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance. Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis, Body Shape in Hypersonic Flow refers to the geometric configuration of an object as it interacts with airflow at hypersonic speeds (Mach 5 and above) & Local shock-Detachment Distance is the distance of shock formation from leading edge.

How to calculate Grid Point Calculation for Shock Waves?

The Grid Point Calculation for Shock Waves formula is defined as a method to determine the location of a shock wave in hypersonic inviscid flow, providing a crucial parameter in the study of high-speed fluid dynamics, particularly in aerospace engineering and aerodynamics is calculated using Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance. To calculate Grid Point Calculation for Shock Waves, you need Distance from X-Axis (y), Body Shape in Hypersonic Flow (b) & Local Shock-Detachment Distance (𝛿). With our tool, you need to enter the respective value for Distance from X-Axis, Body Shape in Hypersonic Flow & Local Shock-Detachment Distance 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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