Bypass Mass Flow Rate given Turbofan Thrust Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-Flight Speed)
b = (T-mc*(Vj,c-V))/(Vj,b-V)
This formula uses 6 Variables
Variables Used
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.
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 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.
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.
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
Exit Velocity Bypass Nozzle: 250 Meter per Second --> 250 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = (T-mc*(Vj,c-V))/(Vj,b-V) --> (17800-43*(300-198))/(250-198)
Evaluating ... ...
b = 257.961538461538
STEP 3: Convert Result to Output's Unit
257.961538461538 Kilogram per Second --> No Conversion Required
FINAL ANSWER
257.961538461538 257.9615 Kilogram per Second <-- Mass Flow Rate Bypass
(Calculation completed in 00.004 seconds)

Credits

Created by Himanshu Sharma
National Institute of Technology, Hamirpur (NITH), Himachal Pradesh
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National Institute Of Technology (NIT), Hamirpur
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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

Bypass Mass Flow Rate given Turbofan Thrust Formula

Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-Flight Speed)
b = (T-mc*(Vj,c-V))/(Vj,b-V)

What is mass flow rate?

In physics and engineering, mass flow rate is the mass of a substance which passes per unit of time. Its unit is kilogram per second in SI units, and slug per second or pound per second in US customary units.

How to Calculate Bypass Mass Flow Rate given Turbofan Thrust?

Bypass Mass Flow Rate given Turbofan Thrust calculator uses Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-Flight Speed) to calculate the Mass Flow Rate Bypass, Bypass Mass Flow Rate given Turbofan Thrust formula is calculates the mass flow rate of air which enters the bypass duct to produce thrust. Mass Flow Rate Bypass is denoted by b symbol.

How to calculate Bypass Mass Flow Rate given Turbofan Thrust using this online calculator? To use this online calculator for Bypass Mass Flow Rate given Turbofan Thrust, enter Turbofan thrust (T), Mass Flow Rate Core (mc), Exit Velocity Core Nozzle (Vj,c), Flight Speed (V) & Exit Velocity Bypass Nozzle (Vj,b) and hit the calculate button. Here is how the Bypass Mass Flow Rate given Turbofan Thrust calculation can be explained with given input values -> 257.9615 = (17800-43*(300-198))/(250-198).

FAQ

What is Bypass Mass Flow Rate given Turbofan Thrust?
Bypass Mass Flow Rate given Turbofan Thrust formula is calculates the mass flow rate of air which enters the bypass duct to produce thrust and is represented as b = (T-mc*(Vj,c-V))/(Vj,b-V) or Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-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 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 & Exit Velocity Bypass Nozzle is the speed at which exhaust gases exit the secondary nozzle of a turbofan exit.
How to calculate Bypass Mass Flow Rate given Turbofan Thrust?
Bypass Mass Flow Rate given Turbofan Thrust formula is calculates the mass flow rate of air which enters the bypass duct to produce thrust is calculated using Mass Flow Rate Bypass = (Turbofan thrust-Mass Flow Rate Core*(Exit Velocity Core Nozzle-Flight Speed))/(Exit Velocity Bypass Nozzle-Flight Speed). To calculate Bypass Mass Flow Rate given Turbofan Thrust, you need Turbofan thrust (T), Mass Flow Rate Core (mc), Exit Velocity Core Nozzle (Vj,c), Flight Speed (V) & Exit Velocity Bypass Nozzle (Vj,b). With our tool, you need to enter the respective value for Turbofan thrust, Mass Flow Rate Core, Exit Velocity Core Nozzle, Flight Speed & Exit Velocity Bypass Nozzle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mass Flow Rate Bypass?
In this formula, Mass Flow Rate Bypass uses Turbofan thrust, Mass Flow Rate Core, Exit Velocity Core Nozzle, Flight Speed & Exit Velocity Bypass Nozzle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mass Flow Rate Bypass = Mass Flow Rate-Mass Flow Rate Core
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