Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane Calculator

⤿

Aircraft Performance

Aircraft Design

Introduction and Governing Equations

Static Stability and Control

⤿

⤿

Propeller-Driven Airplane

Jet Airplane

✖Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight.ⓘ Endurance of Aircraft [E]			+10% -10%
✖The Lift-to-drag ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air.ⓘ Lift-to-drag ratio [LD]			+10% -10%
✖The Gross Weight of the airplane is the weight with full fuel and payload.ⓘ Gross Weight [W₀]			+10% -10%
✖Weight without fuel is the total weight of the airplane without fuel.ⓘ Weight without fuel [W₁]			+10% -10%

✖Thrust-specific fuel consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output.ⓘ Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane [c_t]

⎘ Copy

👎

Formula

✖

Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane

Formula

`"c"_{"t"} = (1/"E")*"LD"*ln("W"_{"0"}/"W"_{"1"})`

Example

`"10.17kg/h/N"=(1/"452.0581s")*"2.50"*ln("5000kg"/"3000kg")`

Calculator

LaTeX

Reset

👍

Download Aircraft Performance Formula PDF PDF Image

Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)
c_t = (1/E)*LD*ln(W₀/W₁)
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Thrust-Specific Fuel Consumption - (Measured in Kilogram per Second per Newton) - Thrust-specific fuel consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output.
Endurance of Aircraft - (Measured in Second) - Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight.
Lift-to-drag ratio - The Lift-to-drag ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air.
Gross Weight - (Measured in Kilogram) - The Gross Weight of the airplane is the weight with full fuel and payload.
Weight without fuel - (Measured in Kilogram) - Weight without fuel is the total weight of the airplane without fuel.

STEP 1: Convert Input(s) to Base Unit

Endurance of Aircraft: 452.0581 Second --> 452.0581 Second No Conversion Required
Lift-to-drag ratio: 2.5 --> No Conversion Required
Gross Weight: 5000 Kilogram --> 5000 Kilogram No Conversion Required
Weight without fuel: 3000 Kilogram --> 3000 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_t = (1/E)*LD*ln(W₀/W₁) --> (1/452.0581)*2.5*ln(5000/3000)

Evaluating ... ...

c_t = 0.00282499983832825

STEP 3: Convert Result to Output's Unit

0.00282499983832825 Kilogram per Second per Newton -->10.1699994179817 Kilogram per Hour per Newton (Check conversion here)

FINAL ANSWER

10.1699994179817 ≈ 10.17 Kilogram per Hour per Newton <-- Thrust-Specific Fuel Consumption

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aircraft Mechanics » Aircraft Performance » Range and Endurance » Propeller-Driven Airplane » Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane

Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< 25 Propeller-Driven Airplane Calculators

Propeller Efficiency for given Endurance of Propeller-Driven Airplane

Go Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream density*Reference Area))*(((1/Weight without fuel)^(1/2))-((1/Gross Weight)^(1/2))))

Endurance of Propeller-Driven Airplane

Go Endurance of Propeller Aircraft = Propeller Efficiency/Specific Fuel Consumption*(Lift Coefficient^1.5)/Drag Coefficient*sqrt(2*Freestream density*Reference Area)*((1/Weight without fuel)^(1/2)-(1/Gross Weight)^(1/2))

Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane

Go Specific Fuel Consumption = Propeller Efficiency/Endurance of Aircraft*Lift Coefficient^1.5/Drag Coefficient*sqrt(2*Freestream density*Reference Area)*((1/Weight without fuel)^(1/2)-(1/Gross Weight)^(1/2))

Propeller Efficiency given Preliminary Endurance for Prop-Driven Aircraft

Go Propeller Efficiency = (Preliminary Endurance of Aircraft*Velocity for Maximum Endurance*Specific Fuel Consumption)/(Lift to Drag Ratio at Maximum Endurance*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))

Lift to Drag for Maximum Endurance given Preliminary Endurance for Prop-Driven Aircraft

Go Lift to Drag Ratio at Maximum Endurance = (Endurance of Aircraft*Velocity for Maximum Endurance*Specific Fuel Consumption)/(Propeller Efficiency*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))

Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft

Go Specific Fuel Consumption = (Lift to Drag Ratio at Maximum Endurance*Propeller Efficiency*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/(Endurance of Aircraft*Velocity for Maximum Endurance)

Specific Fuel Consumption for given Range of Propeller-Driven Airplane

Go Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without fuel))

Range of Propeller-Driven Airplane

Go Range of Propeller aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without fuel))

Propeller Efficiency for given Range of Propeller-Driven Airplane

Go Propeller Efficiency = Range of Propeller aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without fuel))

Maximum Lift to Drag Ratio given Range for Prop-driven Aircraft

Go Maximum Lift to Drag Ratio = (Range of Propeller aircraft*Specific Fuel Consumption)/(Propeller Efficiency*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))

Propeller Efficiency given Range for Prop-Driven Aircraft

Go Propeller Efficiency = (Range of Propeller aircraft*Specific Fuel Consumption)/(Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))

Specific Fuel Consumption given Range for Prop-Driven Aircraft

Go Specific Fuel Consumption = (Propeller Efficiency*Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))/Range of Propeller aircraft

Specific Fuel Consumption for given Range and lift-to-drag ratio of Propeller-Driven Airplane

Go Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller aircraft)*(Lift-to-drag ratio)*(ln(Gross Weight/Weight without fuel))

Range of Propeller-Driven Airplane for given lift-to-drag ratio

Go Range of Propeller aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-drag ratio)*(ln(Gross Weight/Weight without fuel))

Propeller Efficiency for given Range and lift-to-drag ratio of Propeller-Driven Airplane

Go Propeller Efficiency = Range of Propeller aircraft*Specific Fuel Consumption/(Lift-to-drag ratio*(ln(Gross Weight/Weight without fuel)))

Lift-to-Drag ratio for given Range of Propeller-Driven Airplane

Go Lift-to-drag ratio = Specific Fuel Consumption*Range of Propeller aircraft/(Propeller Efficiency*ln(Gross Weight/Weight without fuel))

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane

Go Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without fuel))/(Drag Coefficient*Endurance of Aircraft)

Endurance of Jet Airplane

Go Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption)

Cruise Weight Fraction for Prop-Driven Aircraft

Go Cruise Weight Fraction Propeller Aircraft = exp((Range of Propeller aircraft*(-1)*Specific Fuel Consumption)/(Maximum Lift to Drag Ratio*Propeller Efficiency))

Endurance for given Lift-to-Drag ratio of Jet Airplane

Go Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)

Propeller efficiency for reciprocating engine-propeller combination

Go Propeller Efficiency = Available Power/Brake Power

Shaft brake power for reciprocating engine-propeller combination

Go Brake Power = Available Power/Propeller Efficiency

Power available for reciprocating engine-propeller combination

Go Available Power = Propeller Efficiency*Brake Power

Lift to Drag Ratio for Maximum Endurance given Max Lift to Drag Ratio for Prop-driven Aircraft

Go Lift to Drag Ratio at Maximum Endurance = 0.866*Maximum Lift to Drag Ratio

Maximum Lift to Drag Ratio given Lift to Drag Ratio for Max Endurance of Prop-Driven Aircraft

Go Maximum Lift to Drag Ratio = Lift to Drag Ratio at Maximum Endurance/0.866

Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane Formula

Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)
c_t = (1/E)*LD*ln(W₀/W₁)

How to calculate fuel endurance?

The amount of fuel needed for a given flight can be calculated by multiplying the estimated flight time by the rate of consumption of fuel.

How to Calculate Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane?

Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane calculator uses Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel) to calculate the Thrust-Specific Fuel Consumption, The Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane is a measure of the fuel efficiency of an aircraft engine, it represents the amount of fuel consumed by the engine to produce a unit of thrust over a specific period of time. Thrust-Specific Fuel Consumption is denoted by c_t symbol.

How to calculate Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane using this online calculator? To use this online calculator for Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane, enter Endurance of Aircraft (E), Lift-to-drag ratio (LD), Gross Weight (W₀) & Weight without fuel (W₁) and hit the calculate button. Here is how the Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane calculation can be explained with given input values -> 36616.7 = (1/452.0581)*2.5*ln(5000/3000).

FAQ

What is Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane?

The Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane is a measure of the fuel efficiency of an aircraft engine, it represents the amount of fuel consumed by the engine to produce a unit of thrust over a specific period of time and is represented as c_t = (1/E)*LD*ln(W₀/W₁) or Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel). Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight, The Lift-to-drag ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air, The Gross Weight of the airplane is the weight with full fuel and payload & Weight without fuel is the total weight of the airplane without fuel.

How to calculate Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane?

The Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane is a measure of the fuel efficiency of an aircraft engine, it represents the amount of fuel consumed by the engine to produce a unit of thrust over a specific period of time is calculated using Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel). To calculate Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane, you need Endurance of Aircraft (E), Lift-to-drag ratio (LD), Gross Weight (W₀) & Weight without fuel (W₁). With our tool, you need to enter the respective value for Endurance of Aircraft, Lift-to-drag ratio, Gross Weight & Weight without fuel 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 Thrust-Specific Fuel Consumption?

In this formula, Thrust-Specific Fuel Consumption uses Endurance of Aircraft, Lift-to-drag ratio, Gross Weight & Weight without fuel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without fuel))/(Drag Coefficient*Endurance of Aircraft)
Thrust-Specific Fuel Consumption = (sqrt(8/(Freestream density*Reference Area)))*(1/(Range of Jet aircraft*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))

Home

FREE PDFs

🔍 Search