Core Exhaust Velocity given Turbofan Thrust Calculator

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Jet Propulsion

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✖Turbofan thrust is produced by turbofan engine which produces thrust using a combination of jet core efflux and bypass air which has been accelerated by a ducted fan that is driven by the jet core.ⓘ Turbofan thrust [T]			+10% -10%
✖Mass Flow Rate Bypass refers to the rate at which air bypasses the core of a turbofan engine and flows through the bypass duct.ⓘ Mass Flow Rate Bypass [ṁ_b]			+10% -10%
✖Exit Velocity Bypass Nozzle is the speed at which exhaust gases exit the secondary nozzle of a turbofan exit.ⓘ Exit Velocity Bypass Nozzle [V_j,b]			+10% -10%
✖Flight Speed refers to the velocity at which an aircraft travels through the air.ⓘ Flight Speed [V]			+10% -10%
✖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.ⓘ Mass Flow Rate Core [m_c]			+10% -10%

✖Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine.ⓘ Core Exhaust Velocity given Turbofan Thrust [V_j,c]

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Formula

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Core Exhaust Velocity given Turbofan Thrust

Formula

`"V"_{"j,c"} = ("T"-"ṁ"_{"b"}*("V"_{"j,b"}-"V"))/"m"_{"c"}+"V"`

Example

`"299.9535m/s"=("17.8kN"-"258kg/s"*("250m/s"-"198m/s"))/"43kg/s"+"198m/s"`

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Core Exhaust Velocity given Turbofan Thrust Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed
V_j,c = (T-ṁ_b*(V_j,b-V))/m_c+V
This formula uses 6 Variables

Variables Used

Exit Velocity Core Nozzle - (Measured in Meter per Second) - Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine.
Turbofan thrust - (Measured in Newton) - Turbofan thrust is produced by turbofan engine which produces thrust using a combination of jet core efflux and bypass air which has been accelerated by a ducted fan that is driven by the jet core.
Mass Flow Rate Bypass - (Measured in Kilogram per Second) - Mass Flow Rate Bypass refers to the rate at which air bypasses the core of a turbofan engine and flows through the bypass duct.
Exit Velocity Bypass Nozzle - (Measured in Meter per Second) - Exit Velocity Bypass Nozzle is the speed at which exhaust gases exit the secondary nozzle of a turbofan exit.
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft travels through the air.
Mass Flow Rate Core - (Measured in Kilogram per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Turbofan thrust: 17.8 Kilonewton --> 17800 Newton (Check conversion here)
Mass Flow Rate Bypass: 258 Kilogram per Second --> 258 Kilogram per Second No Conversion Required
Exit Velocity Bypass Nozzle: 250 Meter per Second --> 250 Meter per Second No Conversion Required
Flight Speed: 198 Meter per Second --> 198 Meter per Second No Conversion Required
Mass Flow Rate Core: 43 Kilogram per Second --> 43 Kilogram per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_j,c = (T-ṁ_b*(V_j,b-V))/m_c+V --> (17800-258*(250-198))/43+198

Evaluating ... ...

V_j,c = 299.953488372093

STEP 3: Convert Result to Output's Unit

299.953488372093 Meter per Second --> No Conversion Required

FINAL ANSWER

299.953488372093 ≈ 299.9535 Meter per Second <-- Exit Velocity Core Nozzle

(Calculation completed in 00.004 seconds)

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Home » Physics » Aeroengines » Jet Propulsion » Turbofans » Core Exhaust Velocity given Turbofan Thrust

Credits

Created by Himanshu Sharma

National Institute of Technology, Hamirpur (NITH), Himachal Pradesh

Himanshu Sharma has created this Calculator and 50+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 10+ Turbofans Calculators

Mass flow rate hot primary given turbofan thrust

Go Mass Flow Rate Core = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/(Exit Velocity Core Nozzle-Flight Speed)

Bypass Mass Flow Rate given Turbofan Thrust

Go Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-Flight Speed)

Bypass Exhaust Velocity given Turbofan Thrust

Go Exit Velocity Bypass Nozzle = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed

Core Exhaust Velocity given Turbofan Thrust

Go Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed

Turbofan thrust

Go Turbofan thrust = Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed)+Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed)

Cooling Effectiveness

Go Cooling Effectiveness = (Temperature of Hot Gas Stream-Temperature of Metal)/(Temperature of Hot Gas Stream-Temperature of Cooling Air)

Total mass flow rate through turbofan engine

Go Mass Flow Rate = Mass Flow Rate Core+Mass Flow Rate Bypass

Mass flow rate of cool secondary engine

Go Mass Flow Rate Bypass = Mass Flow Rate-Mass Flow Rate Core

Mass flow rate hot primary engine

Go Mass Flow Rate Core = Mass Flow Rate-Mass Flow Rate Bypass

Bypass Ratio

Go Bypass Ratio = Mass Flow Rate Bypass/Mass Flow Rate Core

Core Exhaust Velocity given Turbofan Thrust Formula

Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed
V_j,c = (T-ṁ_b*(V_j,b-V))/m_c+V

What is expansion velocity?

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time. It shows the expansion of the Universe by showing how distant galaxies are moving away from us. Formula: v = Ho d where: v = velocity of a galaxy, in km/s.

How to Calculate Core Exhaust Velocity given Turbofan Thrust?

Core Exhaust Velocity given Turbofan Thrust calculator uses Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed to calculate the Exit Velocity Core Nozzle, Core Exhaust Velocity given Turbofan Thrust formula is defined as velocity of the airflow from turbofan through primary or core nozzle. Exit Velocity Core Nozzle is denoted by V_j,c symbol.

How to calculate Core Exhaust Velocity given Turbofan Thrust using this online calculator? To use this online calculator for Core Exhaust Velocity given Turbofan Thrust, enter Turbofan thrust (T), Mass Flow Rate Bypass (ṁ_b), Exit Velocity Bypass Nozzle (V_j,b), Flight Speed (V) & Mass Flow Rate Core (m_c) and hit the calculate button. Here is how the Core Exhaust Velocity given Turbofan Thrust calculation can be explained with given input values -> 299.9535 = (17800-258*(250-198))/43+198.

FAQ

What is Core Exhaust Velocity given Turbofan Thrust?

Core Exhaust Velocity given Turbofan Thrust formula is defined as velocity of the airflow from turbofan through primary or core nozzle and is represented as V_j,c = (T-ṁ_b*(V_j,b-V))/m_c+V or Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed. Turbofan thrust is produced by turbofan engine which produces thrust using a combination of jet core efflux and bypass air which has been accelerated by a ducted fan that is driven by the jet core, Mass Flow Rate Bypass refers to the rate at which air bypasses the core of a turbofan engine and flows through the bypass duct, Exit Velocity Bypass Nozzle is the speed at which exhaust gases exit the secondary nozzle of a turbofan exit, Flight Speed refers to the velocity at which an aircraft travels through the air & 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.

How to calculate Core Exhaust Velocity given Turbofan Thrust?

Core Exhaust Velocity given Turbofan Thrust formula is defined as velocity of the airflow from turbofan through primary or core nozzle is calculated using Exit Velocity Core Nozzle = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/Mass Flow Rate Core+Flight Speed. To calculate Core Exhaust Velocity given Turbofan Thrust, you need Turbofan thrust (T), Mass Flow Rate Bypass (ṁ_b), Exit Velocity Bypass Nozzle (V_j,b), Flight Speed (V) & Mass Flow Rate Core (m_c). With our tool, you need to enter the respective value for Turbofan thrust, Mass Flow Rate Bypass, Exit Velocity Bypass Nozzle, Flight Speed & Mass Flow Rate Core and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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