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Non-Dimensional Parallel Velocity Component for High Mach Number Formula

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The Non Dimensionalized Upstream Parallel Velocity is the non dimensional form of the components of the flow velocity behind the shock wave parallel to the upstream flow. Check FAQs

u - = 1 - \frac{2 \cdot {(\sin (β))}^{2}}{γ - 1}

u_- - Non Dimensionalized Upstream Parallel Velocity?β - Wave Angle?γ - Specific Heat Ratio?

Non-Dimensional Parallel Velocity Component for High Mach Number Example

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Here is how the Non-Dimensional Parallel Velocity Component for High Mach Number equation looks like with Values.

Here is how the Non-Dimensional Parallel Velocity Component for High Mach Number equation looks like with Units.

Here is how the Non-Dimensional Parallel Velocity Component for High Mach Number equation looks like.

0.7347 = 1 - \frac{2 \cdot {(\sin (0.286))}^{2}}{1.6 - 1}

0.7347 = 1 - \frac{2 \cdot {(\sin (0.286rad))}^{2}}{1.6 - 1}

0.7347 = 1 - \frac{2 \cdot {(\sin (0.286))}^{2}}{1.6 - 1}

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Non-Dimensional Parallel Velocity Component for High Mach Number Solution

Follow our step by step solution on how to calculate Non-Dimensional Parallel Velocity Component for High Mach Number?

FIRST Step Consider the formula

u - = 1 - \frac{2 \cdot {(\sin (β))}^{2}}{γ - 1}

Next Step Substitute values of Variables

∴

u - = 1 - \frac{2 \cdot {(\sin (0.286rad))}^{2}}{1.6 - 1}

Next Step Prepare to Evaluate

∴

u - = 1 - \frac{2 \cdot {(\sin (0.286))}^{2}}{1.6 - 1}

Next Step Evaluate

∴

u - = 0.734700046638202

LAST Step Rounding Answer

∴

u - = 0.7347

Non-Dimensional Parallel Velocity Component for High Mach Number Formula Elements

Variables

Functions

Non Dimensionalized Upstream Parallel Velocity

The Non Dimensionalized Upstream Parallel Velocity is the non dimensional form of the components of the flow velocity behind the shock wave parallel to the upstream flow.

Symbol: u_-

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Non Dimensionalized Upstream Parallel Velocity

Wave Angle

Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.

Symbol: β

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Wave Angle

Specific Heat Ratio

The Specific Heat Ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Approximate Methods of Hypersonic Inviscid Flowfields category

Go Non-Dimensional Pressure

p - = \frac{P}{ρ \cdot {V ∞}^{2}}

Go Non-Dimensional Density

ρ - = \frac{ρ}{ρ liq}

Go Non-Dimensional Pressure for High Mach Number

p mech = 2 \cdot \frac{{(\sin (β))}^{2}}{γ + 1}

Go Non-Dimensional Density for High Mach Number

ρ - = \frac{γ + 1}{γ - 1}

How to Evaluate Non-Dimensional Parallel Velocity Component for High Mach Number?

Non-Dimensional Parallel Velocity Component for High Mach Number evaluator uses Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1) to evaluate the Non Dimensionalized Upstream Parallel Velocity, The Non-dimensional parallel velocity component for high mach number formula is defined as the parallel component of the flow velocity after oblique shock occurs and Mach is infinite. Non Dimensionalized Upstream Parallel Velocity is denoted by u_- symbol.

How to evaluate Non-Dimensional Parallel Velocity Component for High Mach Number using this online evaluator? To use this online evaluator for Non-Dimensional Parallel Velocity Component for High Mach Number, enter Wave Angle (β) & Specific Heat Ratio (γ) and hit the calculate button.

FAQs on Non-Dimensional Parallel Velocity Component for High Mach Number

What is the formula to find Non-Dimensional Parallel Velocity Component for High Mach Number?

The formula of Non-Dimensional Parallel Velocity Component for High Mach Number is expressed as Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1). Here is an example- 0.7347 = 1-(2*(sin(0.286))^2)/(1.6-1).

How to calculate Non-Dimensional Parallel Velocity Component for High Mach Number?

With Wave Angle (β) & Specific Heat Ratio (γ) we can find Non-Dimensional Parallel Velocity Component for High Mach Number using the formula - Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1). This formula also uses Sine function(s).

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Non-Dimensional Parallel Velocity Component for High Mach Number Formula

Non-Dimensional Parallel Velocity Component for High Mach Number Example

Non-Dimensional Parallel Velocity Component for High Mach Number Solution

Non-Dimensional Parallel Velocity Component for High Mach Number Formula Elements

Other formulas in Approximate Methods of Hypersonic Inviscid Flowfields category

How to Evaluate Non-Dimensional Parallel Velocity Component for High Mach Number?

FAQs on Non-Dimensional Parallel Velocity Component for High Mach Number

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