Breguet Endurance Equation Calculator

✖Thrust-Specific Fuel Consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output.ⓘ Thrust-Specific Fuel Consumption [c_t]			+10% -10%
✖The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.ⓘ Lift Coefficient [C_L]			+10% -10%
✖Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+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%

✖Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.ⓘ Breguet Endurance Equation [E]

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Breguet Endurance Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel)
E = (1/c_t)*(C_L/C_D)*ln(W₀/W₁)
This formula uses 1 Functions, 6 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

Endurance of Aircraft - (Measured in Second) - Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.
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.
Lift Coefficient - The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
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

Thrust-Specific Fuel Consumption: 10.17 Kilogram per Hour per Newton --> 0.002825 Kilogram per Second per Newton (Check conversion here)
Lift Coefficient: 5 --> No Conversion Required
Drag Coefficient: 2 --> 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

E = (1/c_t)*(C_L/C_D)*ln(W₀/W₁) --> (1/0.002825)*(5/2)*ln(5000/3000)

Evaluating ... ...

E = 452.058074129195

STEP 3: Convert Result to Output's Unit

452.058074129195 Second --> No Conversion Required

FINAL ANSWER

452.058074129195 ≈ 452.0581 Second <-- Endurance of Aircraft

(Calculation completed in 00.004 seconds)

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Home » Physics » Aircraft Mechanics » Aircraft Performance » Range and Endurance » Aerospace » Jet Airplane » Breguet Endurance Equation

Credits

Created by Sastika Ilango

Sri Ramakrishna Engineering College (SREC), COIMBATORE

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Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Jet Airplane Calculators

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane

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

Endurance of Jet Airplane

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

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

LaTeX 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

LaTeX Go Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)

Breguet Endurance Equation Formula

LaTeX Go

Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel)
E = (1/c_t)*(C_L/C_D)*ln(W₀/W₁)

What is Breguet Endurance Equation ?

The Breguet Endurance Equation, often attributed to French aviation pioneer Louis Breguet, is a fundamental formula used to estimate the endurance (time aloft) of an aircraft on a still-air trip. While the original equation dealt with propeller-driven aircraft, it can be adapted to incorporate integral aerodynamics for modern jet engines.

How to Calculate Breguet Endurance Equation?

Breguet Endurance Equation calculator uses Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel) to calculate the Endurance of Aircraft, Breguet Endurance Equation is a mathematical formula used to estimate the endurance of an aircraft, which is the time an aircraft can stay in the air without refueling, it takes into account the thrust-specific fuel consumption, lift and drag coefficients, gross weight, and weight without fuel to calculate the maximum endurance of an aircraft. Endurance of Aircraft is denoted by E symbol.

How to calculate Breguet Endurance Equation using this online calculator? To use this online calculator for Breguet Endurance Equation, enter Thrust-Specific Fuel Consumption (c_t), Lift Coefficient (C_L), Drag Coefficient (C_D), Gross Weight (W₀) & Weight without Fuel (W₁) and hit the calculate button. Here is how the Breguet Endurance Equation calculation can be explained with given input values -> 452.0581 = (1/0.002825)*(5/2)*ln(5000/3000).

FAQ

What is Breguet Endurance Equation?

Breguet Endurance Equation is a mathematical formula used to estimate the endurance of an aircraft, which is the time an aircraft can stay in the air without refueling, it takes into account the thrust-specific fuel consumption, lift and drag coefficients, gross weight, and weight without fuel to calculate the maximum endurance of an aircraft and is represented as E = (1/c_t)*(C_L/C_D)*ln(W₀/W₁) or Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel). Thrust-Specific Fuel Consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output, The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area, Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, 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 Breguet Endurance Equation?

Breguet Endurance Equation is a mathematical formula used to estimate the endurance of an aircraft, which is the time an aircraft can stay in the air without refueling, it takes into account the thrust-specific fuel consumption, lift and drag coefficients, gross weight, and weight without fuel to calculate the maximum endurance of an aircraft is calculated using Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without Fuel). To calculate Breguet Endurance Equation, you need Thrust-Specific Fuel Consumption (c_t), Lift Coefficient (C_L), Drag Coefficient (C_D), Gross Weight (W₀) & Weight without Fuel (W₁). With our tool, you need to enter the respective value for Thrust-Specific Fuel Consumption, Lift Coefficient, Drag Coefficient, 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 Endurance of Aircraft?

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

Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption)
Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)

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