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)
ct = (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: 452.873 Second --> 452.873 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
ct = (1/E)*LD*ln(W0/W1) --> (1/452.873)*2.5*ln(5000/3000)
Evaluating ... ...
ct = 0.00281991653159932
STEP 3: Convert Result to Output's Unit
0.00281991653159932 Kilogram per Second per Newton -->10.1516995137575 Kilogram per Hour per Newton (Check conversion here)
FINAL ANSWER
10.1516995137575 โ‰ˆ 10.1517 Kilogram per Hour per Newton <-- Thrust-Specific Fuel Consumption
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Amrita School of Engineering (ASE), Vallikavu
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18 Jet Airplane Calculators

Thrust-Specific Fuel Consumption for given Range of Jet Airplane
Go Thrust-Specific Fuel Consumption = (sqrt(8/(Freestream density*Reference Area)))*(1/(Range of aircraft*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))
Range of Jet Airplane
Go Range of aircraft = (sqrt(8/(Freestream density*Reference Area)))*(1/(Thrust-Specific Fuel Consumption*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))
Maximum Lift to Drag Ratio given Range for Jet Aircraft
Go Maximum Lift to Drag Ratio = (Range of aircraft*Specific Fuel Consumption)/(Velocity at Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))
Specific Fuel Consumption given Range for Jet Aircraft
Go Specific Fuel Consumption = (Velocity at Maximum Lift to Drag Ratio*Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))/Range of aircraft
Breguet Range
Go Range of aircraft = (Lift-to-drag ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption)
Breguet Endurance Equation
Go Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*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 Jet Aircraft
Go Cruise Weight Fraction = exp((Range of aircraft*Specific Fuel Consumption*(-1))/(0.866*1.32*Velocity at Maximum Lift to Drag Ratio*Maximum Lift to Drag Ratio))
Constant Speed Cruise using Range Equation
Go Range of aircraft = Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without fuel,Gross Weight)
Lift-to-Drag ratio for given Range of Propeller-Driven Airplane
Go Lift-to-drag ratio = Specific Fuel Consumption*Range of aircraft/(Propeller Efficiency*ln(Gross Weight/Weight without fuel))
Maximum Lift to Drag Ratio given Preliminary Endurance for Jet Aircraft
Go Maximum Lift to Drag Ratio = (Endurance of Aircraft*Specific Fuel Consumption)/ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase)
Specific Fuel Consumption given Preliminary Endurance for Jet Aircraft
Go Specific Fuel Consumption = (Maximum Lift to Drag Ratio*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/Endurance of Aircraft
Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane
Go Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)
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)
Lift-to-Drag ratio for given Endurance of Jet Airplane
Go Lift-to-drag ratio = Thrust-Specific Fuel Consumption*Endurance of Aircraft/(ln(Gross Weight/Weight without fuel))
Loiter Weight Fraction for Jet Aircraft
Go Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio)
Average Value Range Equation
Go Average Value Range Equation = Weight/(Thrust-Specific Fuel Consumption*(Drag Force/Flight Velocity))

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)
ct = (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 function of fuel weight. Thrust-Specific Fuel Consumption is denoted by ct 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 -> 36546.12 = (1/452.873)*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 function of fuel weight and is represented as ct = (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 function of fuel weight 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 aircraft*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))
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