Total Thrust given Efficiency and Enthalpy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine)))
Ttotal = ma*((sqrt(2*Δhnozzle*ηnozzle))-V+(sqrt(ηT*ηtransmission*Δhturbine)))
This formula uses 1 Functions, 8 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Total Thrust - (Measured in Newton) - Total Thrust is the sum of all the thrusts produced in a system or plant.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass Flow Rate represents the amount of mass passing through a system per unit of time.
Enthalpy Drop in Nozzle - (Measured in Joule) - Enthalpy drop in nozzle is the difference of enthalpy of inlet and exit of nozzle.
Nozzle Efficiency - Nozzle Efficiency is a measure of how effectively a nozzle converts the thermal energy of a fluid into kinetic energy.
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft moves through the air.
Turbine Efficiency - Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve.
Efficiency of Transmission - Efficiency of transmission is the ratio of output of transmission to input of transmission.
Enthalpy Drop in Turbine - (Measured in Joule) - Enthalpy drop in turbine is the difference of enthalpy at inlet and exit of turbine.
STEP 1: Convert Input(s) to Base Unit
Mass Flow Rate: 3.5 Kilogram per Second --> 3.5 Kilogram per Second No Conversion Required
Enthalpy Drop in Nozzle: 12 Kilojoule --> 12000 Joule (Check conversion here)
Nozzle Efficiency: 0.24 --> No Conversion Required
Flight Speed: 111 Meter per Second --> 111 Meter per Second No Conversion Required
Turbine Efficiency: 0.86 --> No Conversion Required
Efficiency of Transmission: 0.97 --> No Conversion Required
Enthalpy Drop in Turbine: 50 Kilojoule --> 50000 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ttotal = ma*((sqrt(2*Δhnozzlenozzle))-V+(sqrt(ηTtransmission*Δhturbine))) --> 3.5*((sqrt(2*12000*0.24))-111+(sqrt(0.86*0.97*50000)))
Evaluating ... ...
Ttotal = 591.937241168876
STEP 3: Convert Result to Output's Unit
591.937241168876 Newton --> No Conversion Required
FINAL ANSWER
591.937241168876 591.9372 Newton <-- Total Thrust
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has verified this Calculator and 200+ more calculators!

21 Thrust Generation Calculators

Total Thrust given Efficiency and Enthalpy
Go Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine)))
Momentum Thrust
Go Ideal Thrust = Mass Flow Rate*((1+Fuel Air Ratio)*Exit Velocity-Flight Speed)
Thrust power
Go Thrust Power = Mass Flow Rate*Flight Speed*(Exit Velocity-Flight Speed)
Ideal Thrust given Effective Speed Ratio
Go Ideal Thrust = Mass Flow Rate*Flight Speed*((1/Effective Speed Ratio)-1)
Thrust given aircraft forward speed, velocity of exhaust
Go Ideal Thrust = Mass Flow Rate*(Exit Velocity-Flight Speed)
Mass Flow Rate given Ideal Thrust
Go Mass Flow Rate = Ideal Thrust/(Exit Velocity-Flight Speed)
Ideal Thrust of Jet Engine
Go Ideal Thrust = Mass Flow Rate*(Exit Velocity-Flight Speed)
Velocity after Expansion given Ideal Thrust
Go Exit Velocity = Ideal Thrust/Mass Flow Rate+Flight Speed
Flight Speed given Ideal Thrust
Go Flight Speed = Exit Velocity-Ideal Thrust/Mass Flow Rate
Thrust specific fuel consumption
Go Thrust-Specific Fuel Consumption = (3600*Fuel Air Ratio)/Specific Thrust
Thrust power specific fuel consumption
Go Thrust Power Specific Fuel Consumption = Fuel Flow Rate/Thrust Power
Gross Thrust Coefficient
Go Gross Thrust Coefficient = Gross Thrust/Ideal Gross Thrust
Specific Thrust given Effective Speed Ratio
Go Specific Thrust = Exit Velocity*(1-Effective Speed Ratio)
Flight Speed given Momentum of Ambient Air
Go Flight Speed = Momentum of Ambient Air/Mass Flow Rate
Mass Flow given Momentum in Ambient Air
Go Mass Flow Rate = Momentum of Ambient Air/Flight Speed
Momentum of Ambient Air
Go Momentum of Ambient Air = Mass Flow Rate*Flight Speed
Specific thrust
Go Specific Thrust = Exit Velocity-Flight Speed
Gross thrust
Go Gross Thrust = Mass Flow Rate*Exit Velocity
Mass Flow Rate given Ram Drag and Flight Speed
Go Mass Flow Rate = Ram Drag/Flight Speed
Flight Speed given Ram Drag and Mass Flow Rate
Go Flight Speed = Ram Drag/Mass Flow Rate
Ram drag
Go Ram Drag = Mass Flow Rate*Flight Speed

Total Thrust given Efficiency and Enthalpy Formula

Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine)))
Ttotal = ma*((sqrt(2*Δhnozzle*ηnozzle))-V+(sqrt(ηT*ηtransmission*Δhturbine)))

What is thrust?

Thrust is the force which moves an aircraft through the air. Thrust is used to overcome the drag of an airplane, and to overcome the weight of a rocket.

How to Calculate Total Thrust given Efficiency and Enthalpy?

Total Thrust given Efficiency and Enthalpy calculator uses Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))) to calculate the Total Thrust, Total Thrust given Efficiency and Enthalpy formula calculates the thrust produced by an engine considering efficiencies and enthalpy dropped in nozzle and turbine. Total Thrust is denoted by Ttotal symbol.

How to calculate Total Thrust given Efficiency and Enthalpy using this online calculator? To use this online calculator for Total Thrust given Efficiency and Enthalpy, enter Mass Flow Rate (ma), Enthalpy Drop in Nozzle (Δhnozzle), Nozzle Efficiency nozzle), Flight Speed (V), Turbine Efficiency T), Efficiency of Transmission transmission) & Enthalpy Drop in Turbine (Δhturbine) and hit the calculate button. Here is how the Total Thrust given Efficiency and Enthalpy calculation can be explained with given input values -> 591.9372 = 3.5*((sqrt(2*12000*0.24))-111+(sqrt(0.86*0.97*50000))).

FAQ

What is Total Thrust given Efficiency and Enthalpy?
Total Thrust given Efficiency and Enthalpy formula calculates the thrust produced by an engine considering efficiencies and enthalpy dropped in nozzle and turbine and is represented as Ttotal = ma*((sqrt(2*Δhnozzlenozzle))-V+(sqrt(ηTtransmission*Δhturbine))) or Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))). Mass Flow Rate represents the amount of mass passing through a system per unit of time, Enthalpy drop in nozzle is the difference of enthalpy of inlet and exit of nozzle, Nozzle Efficiency is a measure of how effectively a nozzle converts the thermal energy of a fluid into kinetic energy, Flight Speed refers to the velocity at which an aircraft moves through the air, Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve, Efficiency of transmission is the ratio of output of transmission to input of transmission & Enthalpy drop in turbine is the difference of enthalpy at inlet and exit of turbine.
How to calculate Total Thrust given Efficiency and Enthalpy?
Total Thrust given Efficiency and Enthalpy formula calculates the thrust produced by an engine considering efficiencies and enthalpy dropped in nozzle and turbine is calculated using Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))). To calculate Total Thrust given Efficiency and Enthalpy, you need Mass Flow Rate (ma), Enthalpy Drop in Nozzle (Δhnozzle), Nozzle Efficiency nozzle), Flight Speed (V), Turbine Efficiency T), Efficiency of Transmission transmission) & Enthalpy Drop in Turbine (Δhturbine). With our tool, you need to enter the respective value for Mass Flow Rate, Enthalpy Drop in Nozzle, Nozzle Efficiency, Flight Speed, Turbine Efficiency, Efficiency of Transmission & Enthalpy Drop in Turbine 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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