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Coefficient of Pressure Derived from Oblique Shock Theory Formula

GoPressure Coefficient behind Oblique Shock Wave Formula

GoNon-Dimensional Pressure Coefficient Formula

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The Pressure Coefficient is a dimensionless number that represents the relative pressure difference across a surface in fluid flow, indicating how pressure varies in different flow conditions. Check FAQs

C p = 2 \cdot {(\sin (β))}^{2}

C_p - Pressure Coefficient?β - Wave Angle?

Coefficient of Pressure Derived from Oblique Shock Theory Example

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Here is how the Coefficient of Pressure Derived from Oblique Shock Theory equation looks like with Values.

Here is how the Coefficient of Pressure Derived from Oblique Shock Theory equation looks like with Units.

Here is how the Coefficient of Pressure Derived from Oblique Shock Theory equation looks like.

0.4597 = 2 \cdot {(\sin (0.5))}^{2}

0.4597 = 2 \cdot {(\sin (0.5rad))}^{2}

0.4597 = 2 \cdot {(\sin (0.5))}^{2}

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Coefficient of Pressure Derived from Oblique Shock Theory Solution

Follow our step by step solution on how to calculate Coefficient of Pressure Derived from Oblique Shock Theory?

FIRST Step Consider the formula

C p = 2 \cdot {(\sin (β))}^{2}

Next Step Substitute values of Variables

∴

C p = 2 \cdot {(\sin (0.5rad))}^{2}

Next Step Prepare to Evaluate

∴

C p = 2 \cdot {(\sin (0.5))}^{2}

Next Step Evaluate

∴

C p = 0.45969769413186

LAST Step Rounding Answer

∴

C p = 0.4597

Coefficient of Pressure Derived from Oblique Shock Theory Formula Elements

Variables

Functions

Pressure Coefficient

The Pressure Coefficient is a dimensionless number that represents the relative pressure difference across a surface in fluid flow, indicating how pressure varies in different flow conditions.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

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

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 to find Pressure Coefficient

Go Pressure Coefficient behind Oblique Shock Wave

C p = \frac{4}{Y + 1} \cdot ({(\sin (β))}^{2} - \frac{1}{M^{2}})

Go Non-Dimensional Pressure Coefficient

C p = \frac{Δp}{P dynamic}

Go Pressure Coefficient behind Oblique Shock Wave for Infinite Mach Number

C p = \frac{4}{Y + 1} \cdot {(\sin (β))}^{2}

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 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 Perpendicular Upstream Flow Components behind Shock Wave

v2 = \frac{V 1 \cdot (\sin (2 \cdot β))}{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 Coefficient of Pressure Derived from Oblique Shock Theory?

Coefficient of Pressure Derived from Oblique Shock Theory evaluator uses Pressure Coefficient = 2*(sin(Wave Angle))^2 to evaluate the Pressure Coefficient, Coefficient of Pressure Derived from Oblique Shock Theory formula is defined as a dimensionless quantity that characterizes the pressure ratio across an oblique shock wave, providing a crucial parameter in the analysis of supersonic flows and shock waves in aerodynamics and aerospace engineering. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Coefficient of Pressure Derived from Oblique Shock Theory using this online evaluator? To use this online evaluator for Coefficient of Pressure Derived from Oblique Shock Theory, enter Wave Angle (β) and hit the calculate button.

FAQs on Coefficient of Pressure Derived from Oblique Shock Theory

What is the formula to find Coefficient of Pressure Derived from Oblique Shock Theory?

The formula of Coefficient of Pressure Derived from Oblique Shock Theory is expressed as Pressure Coefficient = 2*(sin(Wave Angle))^2. Here is an example- 0.459698 = 2*(sin(0.5))^2.

How to calculate Coefficient of Pressure Derived from Oblique Shock Theory?

With Wave Angle (β) we can find Coefficient of Pressure Derived from Oblique Shock Theory using the formula - Pressure Coefficient = 2*(sin(Wave Angle))^2. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=4/(Specific Heat Ratio+1)*((sin(Wave Angle))^2-1/Mach Number^2)
Pressure Coefficient=Change in Static Pressure/Dynamic Pressure
Pressure Coefficient=4/(Specific Heat Ratio+1)*(sin(Wave Angle))^2

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