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. is the shape of the shock wave.
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: 19.3 Millimeter --> 0.0193 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ζ = (y-b)/𝛿 --> (2.2-0.064)/0.0193
Evaluating ... ...
ζ = 110.673575129534
STEP 3: Convert Result to Output's Unit
110.673575129534 --> No Conversion Required
FINAL ANSWER
110.673575129534 110.6736 <-- Grid Points
(Calculation completed in 00.020 seconds)

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
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10+ Exact Methods of Hypersonic Inviscid Flowfields Calculators

Pressure Ratio for Unsteady Waves
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))

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 a 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 the ratio of the distance from the origin of shock along the x-axis minus the body shape to the detachment distance of shock wave. 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 -> 110.6736 = (2.2-0.064)/0.0193.

FAQ

What is Grid Point Calculation for Shock Waves?
The Grid point calculation for shock waves formula is defined as the ratio of the distance from the origin of shock along the x-axis minus the body shape to the detachment distance of shock wave 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. is the shape of the shock wave & 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 the ratio of the distance from the origin of shock along the x-axis minus the body shape to the detachment distance of shock wave 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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