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Perpendicular Upstream Flow Components behind Shock Wave Formula

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The Perpendicular upstream flow components is the part of the fluid flow that is directed perpendicular to the upstream direction, influencing shock wave behavior in hypersonic flow. Check FAQs

v2 = \frac{V 1 \cdot (\sin (2 \cdot β))}{Y - 1}

v2 - Perpendicular upstream flow components?V₁ - Velocity of the fluid at 1?β - Wave Angle?Y - Specific Heat Ratio?

Perpendicular Upstream Flow Components behind Shock Wave Example

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Here is how the Perpendicular Upstream Flow Components behind Shock Wave equation looks like with Values.

Here is how the Perpendicular Upstream Flow Components behind Shock Wave equation looks like with Units.

Here is how the Perpendicular Upstream Flow Components behind Shock Wave equation looks like.

36.7442 = \frac{26.2 \cdot (\sin (2 \cdot 0.5))}{1.6 - 1}

36.7442m/s = \frac{26.2m/s \cdot (\sin (2 \cdot 0.5rad))}{1.6 - 1}

36.7442 = \frac{26.2 \cdot (\sin (2 \cdot 0.5))}{1.6 - 1}

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Perpendicular Upstream Flow Components behind Shock Wave Solution

Follow our step by step solution on how to calculate Perpendicular Upstream Flow Components behind Shock Wave?

FIRST Step Consider the formula

v2 = \frac{V 1 \cdot (\sin (2 \cdot β))}{Y - 1}

Next Step Substitute values of Variables

∴

v2 = \frac{26.2m/s \cdot (\sin (2 \cdot 0.5rad))}{1.6 - 1}

Next Step Prepare to Evaluate

∴

v2 = \frac{26.2 \cdot (\sin (2 \cdot 0.5))}{1.6 - 1}

Next Step Evaluate

∴

v2 = 36.7442330032781m/s

LAST Step Rounding Answer

∴

v2 = 36.7442m/s

Perpendicular Upstream Flow Components behind Shock Wave Formula Elements

Variables

Functions

Perpendicular upstream flow components

The Perpendicular upstream flow components is the part of the fluid flow that is directed perpendicular to the upstream direction, influencing shock wave behavior in hypersonic flow.

Symbol: v2

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Perpendicular upstream flow components

Velocity of the fluid at 1

The Velocity of the fluid at 1 is the speed of the fluid at a specific point in a flow system, crucial for analyzing fluid behavior in various applications.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of the fluid at 1

Wave Angle

The Wave Angle is the angle between the direction of a hypersonic flow and the wave generated by an oblique shock in fluid mechanics.

Symbol: β

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Wave Angle

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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 Oblique Shock Relation category

Go Wave Angle for Small Deflection Angle

β = \frac{Y + 1}{2} \cdot (θ d \cdot \frac{180}{π}) \cdot \frac{π}{180}

Go Coefficient of Pressure Derived from Oblique Shock Theory

C p = 2 \cdot {(\sin (β))}^{2}

Go Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

u2 = V 1 \cdot (1 - \frac{2 \cdot {(\sin (β))}^{2}}{Y - 1})

Go Exact Pressure Ratio

r p = 1 + 2 \cdot \frac{Y}{Y + 1} \cdot ({(M \cdot \sin (β))}^{2} - 1)

How to Evaluate Perpendicular Upstream Flow Components behind Shock Wave?

Perpendicular Upstream Flow Components behind Shock Wave evaluator uses Perpendicular upstream flow components = (Velocity of the fluid at 1*(sin(2*Wave Angle)))/(Specific Heat Ratio-1) to evaluate the Perpendicular upstream flow components, Perpendicular Upstream Flow Components behind Shock Wave formula is defined as a measure of the velocity component perpendicular to the shock wave, which is essential in understanding the behavior of oblique shock waves in compressible flow. It plays a crucial role in the analysis of supersonic flow and its applications in aerospace engineering. Perpendicular upstream flow components is denoted by v2 symbol.

How to evaluate Perpendicular Upstream Flow Components behind Shock Wave using this online evaluator? To use this online evaluator for Perpendicular Upstream Flow Components behind Shock Wave, enter Velocity of the fluid at 1 (V₁), Wave Angle (β) & Specific Heat Ratio (Y) and hit the calculate button.

FAQs on Perpendicular Upstream Flow Components behind Shock Wave

What is the formula to find Perpendicular Upstream Flow Components behind Shock Wave?

The formula of Perpendicular Upstream Flow Components behind Shock Wave is expressed as Perpendicular upstream flow components = (Velocity of the fluid at 1*(sin(2*Wave Angle)))/(Specific Heat Ratio-1). Here is an example- 36.74423 = (26.2*sin(2*0.5))/(1.6-1).

How to calculate Perpendicular Upstream Flow Components behind Shock Wave?

With Velocity of the fluid at 1 (V₁), Wave Angle (β) & Specific Heat Ratio (Y) we can find Perpendicular Upstream Flow Components behind Shock Wave using the formula - Perpendicular upstream flow components = (Velocity of the fluid at 1*(sin(2*Wave Angle)))/(Specific Heat Ratio-1). This formula also uses Sine (sin) function(s).

Can the Perpendicular Upstream Flow Components behind Shock Wave be negative?

Yes, the Perpendicular Upstream Flow Components behind Shock Wave, measured in Speed can be negative.

Which unit is used to measure Perpendicular Upstream Flow Components behind Shock Wave?

Perpendicular Upstream Flow Components behind Shock Wave is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Perpendicular Upstream Flow Components behind Shock Wave can be measured.

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Perpendicular Upstream Flow Components behind Shock Wave Formula

Perpendicular Upstream Flow Components behind Shock Wave Example

Perpendicular Upstream Flow Components behind Shock Wave Solution

Perpendicular Upstream Flow Components behind Shock Wave Formula Elements

Other formulas in Oblique Shock Relation category

How to Evaluate Perpendicular Upstream Flow Components behind Shock Wave?

FAQs on Perpendicular Upstream Flow Components behind Shock Wave

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