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Grid Point Calculation for Shock Waves Formula

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Grid Points is the grids that is formed to understand the shock wave and study about the detachment distance. Check FAQs

ζ = \frac{y - b}{𝛿}

ζ - Grid Points?y - Distance from X-Axis?b - Body Shape in Hypersonic Flow?𝛿 - Local Shock-Detachment Distance?

Grid Point Calculation for Shock Waves Example

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Here is how the Grid Point Calculation for Shock Waves equation looks like with Values.

Here is how the Grid Point Calculation for Shock Waves equation looks like with Units.

Here is how the Grid Point Calculation for Shock Waves equation looks like.

89.9368 = \frac{2200 - 64}{23.75}

89.9368 = \frac{2200mm - 64mm}{23.75mm}

89.9368 = \frac{2200 - 64}{23.75}

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Grid Point Calculation for Shock Waves Solution

Follow our step by step solution on how to calculate Grid Point Calculation for Shock Waves?

FIRST Step Consider the formula

ζ = \frac{y - b}{𝛿}

Next Step Substitute values of Variables

∴

ζ = \frac{2200mm - 64mm}{23.75mm}

Next Step Convert Units

∴

ζ = \frac{2.2m - 0.064m}{0.0238m}

Next Step Prepare to Evaluate

∴

ζ = \frac{2.2 - 0.064}{0.0238}

Next Step Evaluate

∴

ζ = 89.9368421052632

LAST Step Rounding Answer

∴

ζ = 89.9368

Grid Point Calculation for Shock Waves Formula Elements

Variables

Grid Points

Grid Points is the grids that is formed to understand the shock wave and study about the detachment distance.

Symbol: ζ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Grid Points

Distance from X-Axis

Distance from X-Axis is defined as the distance from the point where stress is to be computed to XX axis.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from X-Axis

Body Shape in Hypersonic Flow

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).

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Body Shape in Hypersonic Flow

Local Shock-Detachment Distance

Local shock-Detachment Distance is the distance of shock formation from leading edge.

Symbol: 𝛿

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Local Shock-Detachment Distance

Other formulas in Shock Dynamics and Aerodynamic Shape category

Go Mach Wave behind Shock

M 2 = \frac{V ∞ - W m}{c speed}

Go Mach Wave behind Shock with Mach Infinity

M 1 = M - \frac{W}{c speed}

Go Local Shock Velocity Equation

W = c speed \cdot (M - M 1)

Go Pressure Ratio for Unsteady Waves

r p = {(1 + (\frac{γ - 1}{2}) \cdot (\frac{u'}{c speed}))}^{2 \cdot \frac{γ}{γ - 1}}

How to Evaluate Grid Point Calculation for Shock Waves?

Grid Point Calculation for Shock Waves evaluator uses Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance to evaluate 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 evaluate Grid Point Calculation for Shock Waves using this online evaluator? To use this online evaluator 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.

FAQs on Grid Point Calculation for Shock Waves

What is the formula to find Grid Point Calculation for Shock Waves?

The formula of Grid Point Calculation for Shock Waves is expressed as Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance. Here is an example- 89.93684 = (2.2-0.064)/0.02375.

How to calculate Grid Point Calculation for Shock Waves?

With Distance from X-Axis (y), Body Shape in Hypersonic Flow (b) & Local Shock-Detachment Distance (𝛿) we can find Grid Point Calculation for Shock Waves using the formula - Grid Points = (Distance from X-Axis-Body Shape in Hypersonic Flow)/Local Shock-Detachment Distance.

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Grid Point Calculation for Shock Waves Formula

Grid Point Calculation for Shock Waves Example

Grid Point Calculation for Shock Waves Solution

Grid Point Calculation for Shock Waves Formula Elements

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Grid Point Calculation for Shock Waves?

FAQs on Grid Point Calculation for Shock Waves

Variable Name