Bypass Exhaust Velocity given Turbofan Thrust Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exit Velocity Bypass Nozzle = (Turbofan Thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed
Vj,b = (T-mc*(Vj,c-V))/b+V
This formula uses 6 Variables
Variables Used
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.
Turbofan Thrust - (Measured in Newton) - Turbofan Thrust is the total thrust produced by jet core efflux and bypass air which has been accelerated by a ducted fan.
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.
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.
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft travels through the air.
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.
STEP 1: Convert Input(s) to Base Unit
Turbofan Thrust: 17.8 Kilonewton --> 17800 Newton (Check conversion ​here)
Mass Flow Rate Core: 43 Kilogram per Second --> 43 Kilogram per Second No Conversion Required
Exit Velocity Core Nozzle: 300 Meter per Second --> 300 Meter per Second No Conversion Required
Flight Speed: 198 Meter per Second --> 198 Meter per Second No Conversion Required
Mass Flow Rate Bypass: 258 Kilogram per Second --> 258 Kilogram per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vj,b = (T-mc*(Vj,c-V))/ṁb+V --> (17800-43*(300-198))/258+198
Evaluating ... ...
Vj,b = 249.992248062016
STEP 3: Convert Result to Output's Unit
249.992248062016 Meter per Second --> No Conversion Required
FINAL ANSWER
249.992248062016 249.9922 Meter per Second <-- Exit Velocity Bypass Nozzle
(Calculation completed in 00.020 seconds)

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Created by Himanshu Sharma
National Institute of Technology, Hamirpur (NITH), Himachal Pradesh
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Turbofans Calculators

Turbofan thrust
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Mass Flow Rate = Mass Flow Rate Core+Mass Flow Rate Bypass
Bypass Ratio
​ LaTeX ​ Go Bypass Ratio = Mass Flow Rate Bypass/Mass Flow Rate Core

Bypass Exhaust Velocity given Turbofan Thrust Formula

​LaTeX ​Go
Exit Velocity Bypass Nozzle = (Turbofan Thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed
Vj,b = (T-mc*(Vj,c-V))/b+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.

How to Calculate Bypass Exhaust Velocity given Turbofan Thrust?

Bypass Exhaust Velocity given Turbofan Thrust calculator uses Exit Velocity Bypass Nozzle = (Turbofan Thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed to calculate the Exit Velocity Bypass Nozzle, Bypass Exhaust Velocity given Turbofan Thrust is a measure of the velocity of the exhaust gases exiting the turbofan engine's bypass duct, taking into account the thrust produced and the mass flow rate of the bypass air and core flow. Exit Velocity Bypass Nozzle is denoted by Vj,b symbol.

How to calculate Bypass Exhaust Velocity given Turbofan Thrust using this online calculator? To use this online calculator for Bypass Exhaust Velocity given Turbofan Thrust, enter Turbofan Thrust (T), Mass Flow Rate Core (mc), Exit Velocity Core Nozzle (Vj,c), Flight Speed (V) & Mass Flow Rate Bypass (ṁb) and hit the calculate button. Here is how the Bypass Exhaust Velocity given Turbofan Thrust calculation can be explained with given input values -> 249.9922 = (17800-43*(300-198))/258+198.

FAQ

What is Bypass Exhaust Velocity given Turbofan Thrust?
Bypass Exhaust Velocity given Turbofan Thrust is a measure of the velocity of the exhaust gases exiting the turbofan engine's bypass duct, taking into account the thrust produced and the mass flow rate of the bypass air and core flow and is represented as Vj,b = (T-mc*(Vj,c-V))/ṁb+V or Exit Velocity Bypass Nozzle = (Turbofan Thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed. Turbofan Thrust is the total thrust produced by jet core efflux and bypass air which has been accelerated by a ducted fan, 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, Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine, Flight Speed refers to the velocity at which an aircraft travels through the air & Mass Flow Rate Bypass refers to the rate at which air bypasses the core of a turbofan engine and flows through the bypass duct.
How to calculate Bypass Exhaust Velocity given Turbofan Thrust?
Bypass Exhaust Velocity given Turbofan Thrust is a measure of the velocity of the exhaust gases exiting the turbofan engine's bypass duct, taking into account the thrust produced and the mass flow rate of the bypass air and core flow is calculated using Exit Velocity Bypass Nozzle = (Turbofan Thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/Mass Flow Rate Bypass+Flight Speed. To calculate Bypass Exhaust Velocity given Turbofan Thrust, you need Turbofan Thrust (T), Mass Flow Rate Core (mc), Exit Velocity Core Nozzle (Vj,c), Flight Speed (V) & Mass Flow Rate Bypass (ṁb). With our tool, you need to enter the respective value for Turbofan Thrust, Mass Flow Rate Core, Exit Velocity Core Nozzle, Flight Speed & Mass Flow Rate Bypass 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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