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Exhaust Velocity given Gross Thrust in Turbojet Formula

GoExhaust Velocity given Thrust in Turbojet Formula

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Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a turbojet engine. Check FAQs

V e = \frac{T G - (p e - p ∞) \cdot A e}{m a \cdot (1 + f)}

V_e - Exit Velocity?T_G - Gross Thrust of Turbojet?p_e - Nozzle Exit Pressure?p_∞ - Ambient Pressure?A_e - Nozzle Exit Area?m_a - Mass Flow Rate Turbojet?f - Fuel Air Ratio?

Exhaust Velocity given Gross Thrust in Turbojet Example

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Here is how the Exhaust Velocity given Gross Thrust in Turbojet equation looks like with Values.

Here is how the Exhaust Velocity given Gross Thrust in Turbojet equation looks like with Units.

Here is how the Exhaust Velocity given Gross Thrust in Turbojet equation looks like.

212.7201 = \frac{1124 - (982 - 101) \cdot 0.0589}{5 \cdot (1 + 0.008)}

212.7201m/s = \frac{1124N - (982Pa - 101Pa) \cdot 0.0589m²}{5kg/s \cdot (1 + 0.008)}

212.7201 = \frac{1124 - (982 - 101) \cdot 0.0589}{5 \cdot (1 + 0.008)}

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Exhaust Velocity given Gross Thrust in Turbojet Solution

Follow our step by step solution on how to calculate Exhaust Velocity given Gross Thrust in Turbojet?

FIRST Step Consider the formula

V e = \frac{T G - (p e - p ∞) \cdot A e}{m a \cdot (1 + f)}

Next Step Substitute values of Variables

∴

V e = \frac{1124N - (982Pa - 101Pa) \cdot 0.0589m²}{5kg/s \cdot (1 + 0.008)}

Next Step Prepare to Evaluate

∴

V e = \frac{1124 - (982 - 101) \cdot 0.0589}{5 \cdot (1 + 0.008)}

Next Step Evaluate

∴

V e = 212.72005952381m/s

LAST Step Rounding Answer

∴

V e = 212.7201m/s

Exhaust Velocity given Gross Thrust in Turbojet Formula Elements

Variables

Exit Velocity

Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a turbojet engine.

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Exit Velocity

Gross Thrust of Turbojet

Gross Thrust of Turbojet is the total thrust force produced by a turbojet excluding the ram drag.

Symbol: T_G

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Gross Thrust of Turbojet

Nozzle Exit Pressure

Nozzle Exit Pressure refers to the pressure at the exit of a nozzle or exhaust of a system.

Symbol: p_e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Nozzle Exit Pressure

Ambient Pressure

Ambient Pressure refers to the pressure of the surrounding environment, typically measured relative to a vacuum.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Ambient Pressure

Nozzle Exit Area

Nozzle Exit Area refers to the cross-sectional area at the exit of a nozzle.

Symbol: A_e

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Nozzle Exit Area

Mass Flow Rate Turbojet

Mass Flow Rate Turbojet represents the amount of air entering a turbojet engine per unit time.

Symbol: m_a

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate Turbojet

Fuel Air Ratio

Fuel Air Ratio signifies the proportion of fuel mixed with air in a combustion system.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fuel Air Ratio

Other Formulas to find Exit Velocity

Go Exhaust Velocity given Thrust in Turbojet

V e = \frac{T - A e \cdot (p e - p ∞)}{m a \cdot (1 + f)} + V

Other formulas in Turbojets category

Go Mass Flow Rate of Exhaust Gases

m total = m a + m f

Go Mass Flow Rate of Exhaust Gases given Fuel Air Ratio

m total = m a \cdot (1 + f)

How to Evaluate Exhaust Velocity given Gross Thrust in Turbojet?

Exhaust Velocity given Gross Thrust in Turbojet evaluator uses Exit Velocity = (Gross Thrust of Turbojet-(Nozzle Exit Pressure-Ambient Pressure)*Nozzle Exit Area)/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)) to evaluate the Exit Velocity, Exhaust Velocity given Gross Thrust in Turbojet is a measure of the velocity at which gases escape the nozzle of a turbojet engine, affecting the engine's performance and efficiency, and is influenced by factors such as gross thrust, atmospheric pressure, and nozzle area. Exit Velocity is denoted by V_e symbol.

How to evaluate Exhaust Velocity given Gross Thrust in Turbojet using this online evaluator? To use this online evaluator for Exhaust Velocity given Gross Thrust in Turbojet, enter Gross Thrust of Turbojet (T_G), Nozzle Exit Pressure (p_e), Ambient Pressure (p_∞), Nozzle Exit Area (A_e), Mass Flow Rate Turbojet (m_a) & Fuel Air Ratio (f) and hit the calculate button.

FAQs on Exhaust Velocity given Gross Thrust in Turbojet

What is the formula to find Exhaust Velocity given Gross Thrust in Turbojet?

The formula of Exhaust Velocity given Gross Thrust in Turbojet is expressed as Exit Velocity = (Gross Thrust of Turbojet-(Nozzle Exit Pressure-Ambient Pressure)*Nozzle Exit Area)/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)). Here is an example- 213.355 = (1124-(982-101)*0.0589)/(5*(1+0.008)).

How to calculate Exhaust Velocity given Gross Thrust in Turbojet?

With Gross Thrust of Turbojet (T_G), Nozzle Exit Pressure (p_e), Ambient Pressure (p_∞), Nozzle Exit Area (A_e), Mass Flow Rate Turbojet (m_a) & Fuel Air Ratio (f) we can find Exhaust Velocity given Gross Thrust in Turbojet using the formula - Exit Velocity = (Gross Thrust of Turbojet-(Nozzle Exit Pressure-Ambient Pressure)*Nozzle Exit Area)/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)).

What are the other ways to Calculate Exit Velocity?

Here are the different ways to Calculate Exit Velocity-

Exit Velocity=(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio))+Flight Speed

Can the Exhaust Velocity given Gross Thrust in Turbojet be negative?

No, the Exhaust Velocity given Gross Thrust in Turbojet, measured in Speed cannot be negative.

Which unit is used to measure Exhaust Velocity given Gross Thrust in Turbojet?

Exhaust Velocity given Gross Thrust in Turbojet is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Exhaust Velocity given Gross Thrust in Turbojet can be measured.

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Exhaust Velocity given Gross Thrust in Turbojet Formula

​GoExhaust Velocity given Thrust in Turbojet Formula

Exhaust Velocity given Gross Thrust in Turbojet Example

Exhaust Velocity given Gross Thrust in Turbojet Solution

Exhaust Velocity given Gross Thrust in Turbojet Formula Elements

Other Formulas to find Exit Velocity

Other formulas in Turbojets category

How to Evaluate Exhaust Velocity given Gross Thrust in Turbojet?

FAQs on Exhaust Velocity given Gross Thrust in Turbojet

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GoExhaust Velocity given Thrust in Turbojet Formula