FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Temperature Ratio when Mach Becomes Infinite Formula

GoTemperature Ratios Formula

Fx Copy

LaTeX Copy

Temperature ratio is the ratio of temperatures at different instances of any process or environment. Check FAQs

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

T_ratio - Temperature Ratio?Y - Specific Heat Ratio?M - Mach Number?β - Wave Angle?

Temperature Ratio when Mach Becomes Infinite Example

With values

With units

Only example

Here is how the Temperature Ratio when Mach Becomes Infinite equation looks like with Values.

Here is how the Temperature Ratio when Mach Becomes Infinite equation looks like with Units.

Here is how the Temperature Ratio when Mach Becomes Infinite equation looks like.

1.4467 = \frac{2 \cdot 1.6 \cdot (1.6 - 1)}{{(1.6 + 1)}^{2}} \cdot {(8 \cdot \sin (0.286))}^{2}

1.4467 = \frac{2 \cdot 1.6 \cdot (1.6 - 1)}{{(1.6 + 1)}^{2}} \cdot {(8 \cdot \sin (0.286rad))}^{2}

1.4467 = \frac{2 \cdot 1.6 \cdot (1.6 - 1)}{{(1.6 + 1)}^{2}} \cdot {(8 \cdot \sin (0.286))}^{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Fluid Mechanics » fx Temperature Ratio when Mach Becomes Infinite

Temperature Ratio when Mach Becomes Infinite Solution

Follow our step by step solution on how to calculate Temperature Ratio when Mach Becomes Infinite?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T ratio = 1.44674814803688

LAST Step Rounding Answer

∴

T ratio = 1.4467

Temperature Ratio when Mach Becomes Infinite Formula Elements

Variables

Functions

Temperature Ratio

Temperature ratio is the ratio of temperatures at different instances of any process or environment.

Symbol: T_ratio

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Temperature 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 Temperature Ratio

Go Temperature Ratios

T ratio = \frac{r p}{ρ ratio}

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 Temperature Ratio when Mach Becomes Infinite?

Temperature Ratio when Mach Becomes Infinite evaluator uses Temperature Ratio = (2*Specific Heat Ratio*(Specific Heat Ratio-1))/(Specific Heat Ratio+1)^2*(Mach Number*sin(Wave Angle))^2 to evaluate the Temperature Ratio, The Temperature ratio when Mach becomes infinite formula is defined as the ratio of Specific heat ratio plus and minus one and multiplied by the Mach number incident at an angle. Temperature Ratio is denoted by T_ratio symbol.

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

FAQs on Temperature Ratio when Mach Becomes Infinite

What is the formula to find Temperature Ratio when Mach Becomes Infinite?

The formula of Temperature Ratio when Mach Becomes Infinite is expressed as Temperature Ratio = (2*Specific Heat Ratio*(Specific Heat Ratio-1))/(Specific Heat Ratio+1)^2*(Mach Number*sin(Wave Angle))^2. Here is an example- 1.449051 = (2*1.6*(1.6-1))/(1.6+1)^2*(8*sin(0.286))^2.

How to calculate Temperature Ratio when Mach Becomes Infinite?

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

What are the other ways to Calculate Temperature Ratio?

Here are the different ways to Calculate Temperature Ratio-

Temperature Ratio=Pressure Ratio/Density Ratio

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Temperature Ratio when Mach Becomes Infinite Formula

​GoTemperature Ratios Formula

Temperature Ratio when Mach Becomes Infinite Example

Temperature Ratio when Mach Becomes Infinite Solution

Temperature Ratio when Mach Becomes Infinite Formula Elements

Other Formulas to find Temperature Ratio

Other formulas in Oblique Shock Relation category

How to Evaluate Temperature Ratio when Mach Becomes Infinite?

FAQs on Temperature Ratio when Mach Becomes Infinite

Variable Name

GoTemperature Ratios Formula