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Core Exhaust Velocity given Turbofan Thrust Formula

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Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine. Check FAQs
Vj,c=T-ṁb⋅(Vj,b-V)mc+V
Vj,c - Exit Velocity Core Nozzle?T - Turbofan Thrust?ṁb - Mass Flow Rate Bypass?Vj,b - Exit Velocity Bypass Nozzle?V - Flight Speed?mc - Mass Flow Rate Core?

Core Exhaust Velocity given Turbofan Thrust Example

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Here is how the Core Exhaust Velocity given Turbofan Thrust equation looks like with Values.

Here is how the Core Exhaust Velocity given Turbofan Thrust equation looks like with Units.

Here is how the Core Exhaust Velocity given Turbofan Thrust equation looks like.

299.9535Edit=17.8Edit-258Edit⋅(250Edit-198Edit)43Edit+198Edit
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Core Exhaust Velocity given Turbofan Thrust Solution

Follow our step by step solution on how to calculate Core Exhaust Velocity given Turbofan Thrust?

FIRST Step Consider the formula
Vj,c=T-ṁb⋅(Vj,b-V)mc+V
Next Step Substitute values of Variables
∴ Vj,c=17.8kN-258kg/s⋅(250m/s-198m/s)43kg/s+198m/s
Next Step Convert Units
∴ Vj,c=17800N-258kg/s⋅(250m/s-198m/s)43kg/s+198m/s
Next Step Prepare to Evaluate
∴ Vj,c=17800-258⋅(250-198)43+198
Next Step Evaluate
∴Vj,c=299.953488372093m/s
LAST Step Rounding Answer
∴Vj,c=299.9535m/s

Core Exhaust Velocity given Turbofan Thrust Formula Elements

Variables
Exit Velocity Core Nozzle
Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine.
Symbol: Vj,c
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Formulas to find Exit Velocity Core NozzleOpen Variable
Turbofan Thrust
Turbofan Thrust is the total thrust produced by jet core efflux and bypass air which has been accelerated by a ducted fan.
Symbol: T
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Formulas to find Turbofan ThrustOpen Variable
Mass Flow Rate Bypass
Mass Flow Rate Bypass refers to the rate at which air bypasses the core of a turbofan engine and flows through the bypass duct.
Symbol: ṁb
Measurement: Mass Flow RateUnit: kg/s
Note: Value should be greater than 0.
Formulas to find Mass Flow Rate BypassOpen Variable
Exit Velocity Bypass Nozzle
Exit Velocity Bypass Nozzle is the speed at which exhaust gases exit the secondary nozzle of a turbofan exit.
Symbol: Vj,b
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Formulas to find Exit Velocity Bypass NozzleOpen Variable
Flight Speed
Flight Speed refers to the velocity at which an aircraft travels through the air.
Symbol: V
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Formulas to find Flight SpeedOpen Variable
Mass Flow Rate Core
Mass Flow Rate Core refers to the rate at which air flows through the core of a turbofan engine, specifically through the combustion chamber and the turbine.
Symbol: mc
Measurement: Mass Flow RateUnit: kg/s
Note: Value should be greater than 0.
Formulas to find Mass Flow Rate CoreOpen Variable

Other formulas in Turbofans category

​Go Bypass Ratio
bpr=ṁbmc
​Go Cooling Effectiveness
ε=Tg-TmTg-Tc
​Go Total mass flow rate through turbofan engine
ma=mc+ṁb
​Go Turbofan thrust
T=mc⋅(Vj,c-V)+ṁb⋅(Vj,b-V)

How to Evaluate Core Exhaust Velocity given Turbofan Thrust?

Core Exhaust Velocity given Turbofan Thrust evaluator uses Exit Velocity Core Nozzle = (Turbofan Thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed to evaluate the Exit Velocity Core Nozzle, Core Exhaust Velocity given Turbofan Thrust is a measure of the velocity of gases exiting a turbofan engine, which is influenced by the thrust generated and the mass flow rate of air and fuel. This value is essential in understanding the performance and efficiency of turbofan engines. Exit Velocity Core Nozzle is denoted by Vj,c symbol.

How to evaluate Core Exhaust Velocity given Turbofan Thrust using this online evaluator? To use this online evaluator for Core Exhaust Velocity given Turbofan Thrust, enter Turbofan Thrust (T), Mass Flow Rate Bypass (ṁb), Exit Velocity Bypass Nozzle (Vj,b), Flight Speed (V) & Mass Flow Rate Core (mc) and hit the calculate button.

FAQs on Core Exhaust Velocity given Turbofan Thrust

What is the formula to find Core Exhaust Velocity given Turbofan Thrust?
The formula of Core Exhaust Velocity given Turbofan Thrust is expressed as Exit Velocity Core Nozzle = (Turbofan Thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed. Here is an example- 299.9535 = (17800-258*(250-198))/43+198.
How to calculate Core Exhaust Velocity given Turbofan Thrust?
With Turbofan Thrust (T), Mass Flow Rate Bypass (ṁb), Exit Velocity Bypass Nozzle (Vj,b), Flight Speed (V) & Mass Flow Rate Core (mc) we can find Core Exhaust Velocity given Turbofan Thrust using the formula - Exit Velocity Core Nozzle = (Turbofan Thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed.
Can the Core Exhaust Velocity given Turbofan Thrust be negative?
No, the Core Exhaust Velocity given Turbofan Thrust, measured in Speed cannot be negative.
Which unit is used to measure Core Exhaust Velocity given Turbofan Thrust?
Core Exhaust Velocity given Turbofan Thrust 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 Core Exhaust Velocity given Turbofan Thrust can be measured.
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