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Pressure Ratio when Mach becomes Infinite Formula

GoExact Pressure Ratio Formula

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

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

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

Pressure Ratio when Mach becomes Infinite Example

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Here is how the Pressure Ratio when Mach becomes Infinite equation looks like with Values.

Here is how the Pressure Ratio when Mach becomes Infinite equation looks like with Units.

Here is how the Pressure Ratio when Mach becomes Infinite equation looks like.

6.2692 = \frac{2 \cdot 1.6}{1.6 + 1} \cdot {(8 \cdot \sin (0.286))}^{2}

6.2692 = \frac{2 \cdot 1.6}{1.6 + 1} \cdot {(8 \cdot \sin (0.286rad))}^{2}

6.2692 = \frac{2 \cdot 1.6}{1.6 + 1} \cdot {(8 \cdot \sin (0.286))}^{2}

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Pressure Ratio when Mach becomes Infinite Solution

Follow our step by step solution on how to calculate Pressure Ratio when Mach becomes Infinite?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r p = 6.2692419748265

LAST Step Rounding Answer

∴

r p = 6.2692

Pressure Ratio when Mach becomes Infinite 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 Exact Pressure Ratio

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

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 Pressure Ratio when Mach becomes Infinite?

Pressure Ratio when Mach becomes Infinite evaluator uses Pressure Ratio = (2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number*sin(Wave Angle))^2 to evaluate the Pressure Ratio, The pressure ratio when Mach becomes infinite formula is defined as product of specific heat ratio and the Mach number of the flow before impact at an angle. Pressure Ratio is denoted by r_p symbol.

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

FAQs on Pressure Ratio when Mach becomes Infinite

What is the formula to find Pressure Ratio when Mach becomes Infinite?

The formula of Pressure Ratio when Mach becomes Infinite is expressed as Pressure Ratio = (2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number*sin(Wave Angle))^2. Here is an example- 6.279223 = (2*1.6)/(1.6+1)*(8*sin(0.286))^2.

How to calculate Pressure Ratio when Mach becomes Infinite?

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

What are the other ways to Calculate Pressure Ratio?

Here are the different ways to Calculate Pressure Ratio-

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

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Pressure Ratio when Mach becomes Infinite Formula

​GoExact Pressure Ratio Formula

Pressure Ratio when Mach becomes Infinite Example

Pressure Ratio when Mach becomes Infinite Solution

Pressure Ratio when Mach becomes Infinite Formula Elements

Other Formulas to find Pressure Ratio

Other formulas in Oblique Shock Relation category

How to Evaluate Pressure Ratio when Mach becomes Infinite?

FAQs on Pressure Ratio when Mach becomes Infinite

Variable Name

GoExact Pressure Ratio Formula