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Rocket Exit Temperature Formula

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Exit temperature is the degree of measure of heat at exit to the system. Check FAQs

T exit = T c \cdot {(1 + \frac{γ - 1}{2} \cdot M^{2})}^{- 1}

T_exit - Exit Temperature?T_c - Chamber Temperature?γ - Specific Heat Ratio?M - Mach Number?

Rocket Exit Temperature Example

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Here is how the Rocket Exit Temperature equation looks like with Values.

Here is how the Rocket Exit Temperature equation looks like with Units.

Here is how the Rocket Exit Temperature equation looks like.

18.5885 = 24.6 \cdot {(1 + \frac{1.33 - 1}{2} \cdot {1.4}^{2})}^{- 1}

18.5885K = 24.6K \cdot {(1 + \frac{1.33 - 1}{2} \cdot {1.4}^{2})}^{- 1}

18.5885 = 24.6 \cdot {(1 + \frac{1.33 - 1}{2} \cdot {1.4}^{2})}^{- 1}

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Rocket Exit Temperature Solution

Follow our step by step solution on how to calculate Rocket Exit Temperature?

FIRST Step Consider the formula

T exit = T c \cdot {(1 + \frac{γ - 1}{2} \cdot M^{2})}^{- 1}

Next Step Substitute values of Variables

∴

T exit = 24.6K \cdot {(1 + \frac{1.33 - 1}{2} \cdot {1.4}^{2})}^{- 1}

Next Step Prepare to Evaluate

∴

T exit = 24.6 \cdot {(1 + \frac{1.33 - 1}{2} \cdot {1.4}^{2})}^{- 1}

Next Step Evaluate

∴

T exit = 18.5884842073447K

LAST Step Rounding Answer

∴

T exit = 18.5885K

Rocket Exit Temperature Formula Elements

Variables

Exit Temperature

Exit temperature is the degree of measure of heat at exit to the system.

Symbol: T_exit

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Exit Temperature

Chamber Temperature

Chamber Temperature refers to the temperature of the combustion chamber in a propulsion system, such as a rocket or jet engine.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Chamber Temperature

Specific Heat Ratio

The specific heat ratio describes the ratio of specific heats of a gas at constant pressure to that at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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

Other formulas in Thrust and Power Generation category

Go Power required to produce Exhaust Jet Velocity

P = \frac{1}{2} \cdot m a \cdot {C j}^{2}

Go Thrust given Exhaust Velocity and Mass Flow Rate

F = m a \cdot C j

Go Thrust given Mass and Acceleration of Rocket

F = m \cdot a

Go Acceleration of Rocket

a = \frac{F}{m}

How to Evaluate Rocket Exit Temperature?

Rocket Exit Temperature evaluator uses Exit Temperature = Chamber Temperature*(1+(Specific Heat Ratio-1)/2*Mach Number^2)^-1 to evaluate the Exit Temperature, The Rocket Exit Temperature formula defines the exit temperature at an exhaust, given that we know the total temperature and Mach number. Exit Temperature is denoted by T_exit symbol.

How to evaluate Rocket Exit Temperature using this online evaluator? To use this online evaluator for Rocket Exit Temperature, enter Chamber Temperature (T_c), Specific Heat Ratio (γ) & Mach Number (M) and hit the calculate button.

FAQs on Rocket Exit Temperature

What is the formula to find Rocket Exit Temperature?

The formula of Rocket Exit Temperature is expressed as Exit Temperature = Chamber Temperature*(1+(Specific Heat Ratio-1)/2*Mach Number^2)^-1. Here is an example- 18.13511 = 24.6*(1+(1.33-1)/2*1.4^2)^-1.

How to calculate Rocket Exit Temperature?

With Chamber Temperature (T_c), Specific Heat Ratio (γ) & Mach Number (M) we can find Rocket Exit Temperature using the formula - Exit Temperature = Chamber Temperature*(1+(Specific Heat Ratio-1)/2*Mach Number^2)^-1.

Can the Rocket Exit Temperature be negative?

Yes, the Rocket Exit Temperature, measured in Temperature can be negative.

Which unit is used to measure Rocket Exit Temperature?

Rocket Exit Temperature is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Rocket Exit Temperature can be measured.

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Rocket Exit Temperature Formula

Rocket Exit Temperature Example

Rocket Exit Temperature Solution

Rocket Exit Temperature Formula Elements

Other formulas in Thrust and Power Generation category

How to Evaluate Rocket Exit Temperature?

FAQs on Rocket Exit Temperature

Variable Name