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Kinetic Energy of Exhaust Gases Formula

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Kinetic Energy of Gas is energy present in the gases flowing out of the nozzle. Check FAQs

KE = \frac{1}{2} \cdot m i \cdot (1 + f) \cdot {C ideal}^{2}

KE - Kinetic Energy of Gas?m_i - Ideal Mass Flow Rate?f - Fuel to Air Ratio?C_ideal - Ideal Exit Velocity?

Kinetic Energy of Exhaust Gases Example

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Here is how the Kinetic Energy of Exhaust Gases equation looks like with Values.

Here is how the Kinetic Energy of Exhaust Gases equation looks like with Units.

Here is how the Kinetic Energy of Exhaust Gases equation looks like.

99.4975 = \frac{1}{2} \cdot 5 \cdot (1 + 0.005) \cdot 199^{2}

99.4975KJ = \frac{1}{2} \cdot 5kg/s \cdot (1 + 0.005) \cdot {199m/s}^{2}

99.4975 = \frac{1}{2} \cdot 5 \cdot (1 + 0.005) \cdot 199^{2}

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Kinetic Energy of Exhaust Gases Solution

Follow our step by step solution on how to calculate Kinetic Energy of Exhaust Gases?

FIRST Step Consider the formula

KE = \frac{1}{2} \cdot m i \cdot (1 + f) \cdot {C ideal}^{2}

Next Step Substitute values of Variables

∴

KE = \frac{1}{2} \cdot 5kg/s \cdot (1 + 0.005) \cdot {199m/s}^{2}

Next Step Prepare to Evaluate

∴

KE = \frac{1}{2} \cdot 5 \cdot (1 + 0.005) \cdot 199^{2}

Next Step Evaluate

∴

KE = 99497.5125J

Next Step Convert to Output's Unit

∴

KE = 99.4975125KJ

LAST Step Rounding Answer

∴

KE = 99.4975KJ

Kinetic Energy of Exhaust Gases Formula Elements

Variables

Kinetic Energy of Gas

Kinetic Energy of Gas is energy present in the gases flowing out of the nozzle.

Symbol: KE

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Kinetic Energy of Gas

Ideal Mass Flow Rate

Ideal Mass Flow Rate is the mass of air going out of the nozzle when no loss is considered.

Symbol: m_i

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Ideal Mass Flow Rate

Fuel to Air Ratio

Fuel to Air Ratio is the ratio of the mass of fuel to the mass of air during combustion. It dictates the efficiency of the combustion and the performance of the engine.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fuel to Air Ratio

Ideal Exit Velocity

Ideal Exit Velocity is the velocity at the exit of nozzle, it does not includes losses due to external factors.

Symbol: C_ideal

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Ideal Exit Velocity

Other formulas in Nozzle category

Go Ideal Exhaust Velocity given Enthalpy Drop

C ideal = \sqrt{2 \cdot Δh nozzle}

Go Jet velocity given temperature drop

C ideal = \sqrt{2 \cdot C p \cdot ΔT}

Go Velocity Coefficient given Nozzle Efficiency

C v = \sqrt{η nozlze}

Go Reversible Nozzle Jet Velocity

C ideal = \sqrt{2 \cdot C p \cdot T \cdot (1 - {(P r)}^{\frac{γ - 1}{γ}})}

How to Evaluate Kinetic Energy of Exhaust Gases?

Kinetic Energy of Exhaust Gases evaluator uses Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2 to evaluate the Kinetic Energy of Gas, Kinetic Energy of Exhaust Gases formula is defined as the half of the product of the mass flow rate of air, the sum of one, and the fuel-air ratio multiplied by the square of aircraft jet velocity. Kinetic Energy of Gas is denoted by KE symbol.

How to evaluate Kinetic Energy of Exhaust Gases using this online evaluator? To use this online evaluator for Kinetic Energy of Exhaust Gases, enter Ideal Mass Flow Rate (m_i), Fuel to Air Ratio (f) & Ideal Exit Velocity (C_ideal) and hit the calculate button.

FAQs on Kinetic Energy of Exhaust Gases

What is the formula to find Kinetic Energy of Exhaust Gases?

The formula of Kinetic Energy of Exhaust Gases is expressed as Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2. Here is an example- 0.099498 = 1/2*5*(1+0.005)*199^2.

How to calculate Kinetic Energy of Exhaust Gases?

With Ideal Mass Flow Rate (m_i), Fuel to Air Ratio (f) & Ideal Exit Velocity (C_ideal) we can find Kinetic Energy of Exhaust Gases using the formula - Kinetic Energy of Gas = 1/2*Ideal Mass Flow Rate*(1+Fuel to Air Ratio)*Ideal Exit Velocity^2.

Can the Kinetic Energy of Exhaust Gases be negative?

No, the Kinetic Energy of Exhaust Gases, measured in Energy cannot be negative.

Which unit is used to measure Kinetic Energy of Exhaust Gases?

Kinetic Energy of Exhaust Gases is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Kinetic Energy of Exhaust Gases can be measured.

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Kinetic Energy of Exhaust Gases Formula

Kinetic Energy of Exhaust Gases Example

Kinetic Energy of Exhaust Gases Solution

Kinetic Energy of Exhaust Gases Formula Elements

Other formulas in Nozzle category

How to Evaluate Kinetic Energy of Exhaust Gases?

FAQs on Kinetic Energy of Exhaust Gases

Variable Name