Mass flow rate hot primary given turbofan thrust Calculator

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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%
✖Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine.ⓘ Exit Velocity Core Nozzle [V_j,c]			+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 hot primary given turbofan thrust [m_c]

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Formula

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Mass flow rate hot primary given turbofan thrust

Formula

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

Example

`"42.98039kg/s"=("17.8kN"-"258kg/s"*("250m/s"-"198m/s"))/("300m/s"-"198m/s")`

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Mass flow rate hot primary given turbofan thrust Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Exit Velocity Core Nozzle: 300 Meter per Second --> 300 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_c = (T-ṁ_b*(V_j,b-V))/(V_j,c-V) --> (17800-258*(250-198))/(300-198)

Evaluating ... ...

m_c = 42.9803921568627

STEP 3: Convert Result to Output's Unit

42.9803921568627 Kilogram per Second --> No Conversion Required

FINAL ANSWER

42.9803921568627 ≈ 42.98039 Kilogram per Second <-- Mass Flow Rate Core

(Calculation completed in 00.020 seconds)

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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

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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

Mass flow rate hot primary given turbofan thrust Formula

Mass Flow Rate Core = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/(Exit Velocity Core Nozzle-Flight Speed)
m_c = (T-ṁ_b*(V_j,b-V))/(V_j,c-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 Mass flow rate hot primary given turbofan thrust?

Mass flow rate hot primary given turbofan thrust calculator uses Mass Flow Rate Core = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/(Exit Velocity Core Nozzle-Flight Speed) to calculate the Mass Flow Rate Core, The Mass flow rate hot primary given turbofan thrust formula is defined as mass flow rate of the airflows which flows from primary engine of a turbofan. Mass Flow Rate Core is denoted by m_c symbol.

How to calculate Mass flow rate hot primary given turbofan thrust using this online calculator? To use this online calculator for Mass flow rate hot primary given turbofan thrust, enter Turbofan thrust (T), Mass Flow Rate Bypass (ṁ_b), Exit Velocity Bypass Nozzle (V_j,b), Flight Speed (V) & Exit Velocity Core Nozzle (V_j,c) and hit the calculate button. Here is how the Mass flow rate hot primary given turbofan thrust calculation can be explained with given input values -> 35.13725 = (17800-258*(250-198))/(300-198).

FAQ

What is Mass flow rate hot primary given turbofan thrust?

The Mass flow rate hot primary given turbofan thrust formula is defined as mass flow rate of the airflows which flows from primary engine of a turbofan and is represented as m_c = (T-ṁ_b*(V_j,b-V))/(V_j,c-V) or Mass Flow Rate Core = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/(Exit Velocity Core 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 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 & Exit Velocity Core Nozzle is the speed at which exhaust gases exit the primary nozzle of a turbofan engine.

How to calculate Mass flow rate hot primary given turbofan thrust?

The Mass flow rate hot primary given turbofan thrust formula is defined as mass flow rate of the airflows which flows from primary engine of a turbofan is calculated using Mass Flow Rate Core = (Turbofan thrust-Mass Flow Rate Bypass*(Exit Velocity Bypass Nozzle-Flight Speed))/(Exit Velocity Core Nozzle-Flight Speed). To calculate Mass flow rate hot primary given turbofan thrust, you need Turbofan thrust (T), Mass Flow Rate Bypass (ṁ_b), Exit Velocity Bypass Nozzle (V_j,b), Flight Speed (V) & Exit Velocity Core Nozzle (V_j,c). With our tool, you need to enter the respective value for Turbofan thrust, Mass Flow Rate Bypass, Exit Velocity Bypass Nozzle, Flight Speed & Exit Velocity Core 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 Core?

In this formula, Mass Flow Rate Core uses Turbofan thrust, Mass Flow Rate Bypass, Exit Velocity Bypass Nozzle, Flight Speed & Exit Velocity Core Nozzle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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