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Pressure Coefficient behind Oblique Shock Wave Formula

GoCoefficient of Pressure Derived from Oblique Shock Theory 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 = \frac{4}{Y + 1} \cdot ({(\sin (β))}^{2} - \frac{1}{M^{2}})

C_p - Pressure Coefficient?Y - Specific Heat Ratio?β - Wave Angle?M - Mach Number?

Pressure Coefficient behind Oblique Shock Wave Example

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Here is how the Pressure Coefficient behind Oblique Shock Wave equation looks like with Values.

Here is how the Pressure Coefficient behind Oblique Shock Wave equation looks like with Units.

Here is how the Pressure Coefficient behind Oblique Shock Wave equation looks like.

0.3296 = \frac{4}{1.6 + 1} \cdot ({(\sin (0.5))}^{2} - \frac{1}{8^{2}})

0.3296 = \frac{4}{1.6 + 1} \cdot ({(\sin (0.5rad))}^{2} - \frac{1}{8^{2}})

0.3296 = \frac{4}{1.6 + 1} \cdot ({(\sin (0.5))}^{2} - \frac{1}{8^{2}})

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Pressure Coefficient behind Oblique Shock Wave Solution

Follow our step by step solution on how to calculate Pressure Coefficient behind Oblique Shock Wave?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p = \frac{4}{1.6 + 1} \cdot ({(\sin (0.5rad))}^{2} - \frac{1}{8^{2}})

Next Step Prepare to Evaluate

∴

C p = \frac{4}{1.6 + 1} \cdot ({(\sin (0.5))}^{2} - \frac{1}{8^{2}})

Next Step Evaluate

∴

C p = 0.3295751493322

LAST Step Rounding Answer

∴

C p = 0.3296

Pressure Coefficient behind Oblique Shock Wave 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

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

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

Mach Number

The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

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 Coefficient of Pressure Derived from Oblique Shock Theory

C p = 2 \cdot {(\sin (β))}^{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 Pressure Coefficient behind Oblique Shock Wave?

Pressure Coefficient behind Oblique Shock Wave evaluator uses Pressure Coefficient = 4/(Specific Heat Ratio+1)*((sin(Wave Angle))^2-1/Mach Number^2) to evaluate the Pressure Coefficient, Pressure Coefficient behind Oblique Shock Wave formula is defined as a dimensionless quantity that characterizes the pressure ratio across an oblique shock wave, which is a fundamental concept in aerodynamics and plays a crucial role in the analysis of supersonic flows and shock waves in compressible fluids. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Pressure Coefficient behind Oblique Shock Wave using this online evaluator? To use this online evaluator for Pressure Coefficient behind Oblique Shock Wave, enter Specific Heat Ratio (Y), Wave Angle (β) & Mach Number (M) and hit the calculate button.

FAQs on Pressure Coefficient behind Oblique Shock Wave

What is the formula to find Pressure Coefficient behind Oblique Shock Wave?

The formula of Pressure Coefficient behind Oblique Shock Wave is expressed as Pressure Coefficient = 4/(Specific Heat Ratio+1)*((sin(Wave Angle))^2-1/Mach Number^2). Here is an example- 0.329575 = 4/(1.6+1)*((sin(0.5))^2-1/8^2).

How to calculate Pressure Coefficient behind Oblique Shock Wave?

With Specific Heat Ratio (Y), Wave Angle (β) & Mach Number (M) we can find Pressure Coefficient behind Oblique Shock Wave using the formula - Pressure Coefficient = 4/(Specific Heat Ratio+1)*((sin(Wave Angle))^2-1/Mach Number^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=2*(sin(Wave Angle))^2
Pressure Coefficient=Change in Static Pressure/Dynamic Pressure
Pressure Coefficient=4/(Specific Heat Ratio+1)*(sin(Wave Angle))^2

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: Value
: Unit

Pressure Coefficient behind Oblique Shock Wave Formula

​GoCoefficient of Pressure Derived from Oblique Shock Theory Formula

​GoNon-Dimensional Pressure Coefficient Formula

Pressure Coefficient behind Oblique Shock Wave Example

Pressure Coefficient behind Oblique Shock Wave Solution

Pressure Coefficient behind Oblique Shock Wave Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Oblique Shock Relation category

How to Evaluate Pressure Coefficient behind Oblique Shock Wave?

FAQs on Pressure Coefficient behind Oblique Shock Wave

Variable Name

GoCoefficient of Pressure Derived from Oblique Shock Theory Formula

GoNon-Dimensional Pressure Coefficient Formula