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Exact Pressure Ratio Formula

GoPressure Ratio when Mach becomes Infinite Formula

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Pressure Ratio is ratio of final to initial pressure. Check FAQs

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

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

Exact Pressure Ratio Example

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Here is how the Exact Pressure Ratio equation looks like with Values.

Here is how the Exact Pressure Ratio equation looks like with Units.

Here is how the Exact Pressure Ratio equation looks like.

6.0385 = 1 + 2 \cdot \frac{1.6}{1.6 + 1} \cdot ({(8 \cdot \sin (0.286))}^{2} - 1)

6.0385 = 1 + 2 \cdot \frac{1.6}{1.6 + 1} \cdot ({(8 \cdot \sin (0.286rad))}^{2} - 1)

6.0385 = 1 + 2 \cdot \frac{1.6}{1.6 + 1} \cdot ({(8 \cdot \sin (0.286))}^{2} - 1)

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Exact Pressure Ratio Solution

Follow our step by step solution on how to calculate Exact Pressure Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r p = 1 + 2 \cdot \frac{1.6}{1.6 + 1} \cdot ({(8 \cdot \sin (0.286rad))}^{2} - 1)

Next Step Prepare to Evaluate

∴

r p = 1 + 2 \cdot \frac{1.6}{1.6 + 1} \cdot ({(8 \cdot \sin (0.286))}^{2} - 1)

Next Step Evaluate

∴

r p = 6.03847274405726

LAST Step Rounding Answer

∴

r p = 6.0385

Exact Pressure Ratio Formula Elements

Variables

Functions

Pressure Ratio

Pressure Ratio is ratio of final to initial pressure.

Symbol: r_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Ratio

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: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

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

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 Ratio

Go Pressure Ratio when Mach becomes Infinite

r p = \frac{2 \cdot Y}{Y + 1} \cdot {(M \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 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 Perpendicular Upstream Flow Components behind Shock Wave

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

How to Evaluate Exact Pressure Ratio?

Exact Pressure Ratio evaluator uses Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1) to evaluate the Pressure Ratio, Exact Pressure Ratio formula is defined as a dimensionless quantity that characterizes the compression of a flow across an oblique shock wave, providing a crucial parameter in the analysis of high-speed fluid flows and their applications in aerospace engineering. Pressure Ratio is denoted by r_p symbol.

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

FAQs on Exact Pressure Ratio

What is the formula to find Exact Pressure Ratio?

The formula of Exact Pressure Ratio is expressed as Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1). Here is an example- 6.038473 = 1+2*1.6/(1.6+1)*((8*sin(0.286))^2-1).

How to calculate Exact Pressure Ratio?

With Specific Heat Ratio (Y), Mach Number (M) & Wave Angle (β) we can find Exact Pressure Ratio using the formula - Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Pressure Ratio?

Here are the different ways to Calculate Pressure Ratio-

Pressure Ratio=(2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number*sin(Wave Angle))^2

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Exact Pressure Ratio Formula

​GoPressure Ratio when Mach becomes Infinite Formula

Exact Pressure Ratio Example

Exact Pressure Ratio Solution

Exact Pressure Ratio Formula Elements

Other Formulas to find Pressure Ratio

Other formulas in Oblique Shock Relation category

How to Evaluate Exact Pressure Ratio?

FAQs on Exact Pressure Ratio

Variable Name

GoPressure Ratio when Mach becomes Infinite Formula