Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft)
ct = CL*(ln(W0/W1))/(CD*E)
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
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.
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.
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.
Endurance of Aircraft - (Measured in Second) - Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.
STEP 1: Convert Input(s) to Base Unit
Lift Coefficient: 5 --> No Conversion Required
Gross Weight: 5000 Kilogram --> 5000 Kilogram No Conversion Required
Weight without Fuel: 3000 Kilogram --> 3000 Kilogram No Conversion Required
Drag Coefficient: 2 --> No Conversion Required
Endurance of Aircraft: 452.0581 Second --> 452.0581 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ct = CL*(ln(W0/W1))/(CD*E) --> 5*(ln(5000/3000))/(2*452.0581)
Evaluating ... ...
ct = 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 00.007 seconds)

Credits

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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)

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane Formula

​LaTeX ​Go
Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft)
ct = CL*(ln(W0/W1))/(CD*E)

How is specific fuel consumption related to exhaust speed?

Specific fuel consumption of air-breathing jet engines at their maximum efficiency is more or less proportional to exhaust speed.

How to Calculate Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane?

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane calculator uses Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft) to calculate the Thrust-Specific Fuel Consumption, Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane is a measure of the rate at which fuel is consumed by a jet airplane to produce a unit of thrust, taking into account the lift coefficient, gross weight, weight without fuel, drag coefficient, and endurance of the aircraft, providing a critical performance indicator for aerospace engineers and researchers. Thrust-Specific Fuel Consumption is denoted by ct symbol.

How to calculate Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane using this online calculator? To use this online calculator for Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane, enter Lift Coefficient (CL), Gross Weight (W0), Weight without Fuel (W1), Drag Coefficient (CD) & Endurance of Aircraft (E) and hit the calculate button. Here is how the Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane calculation can be explained with given input values -> 36616.7 = 5*(ln(5000/3000))/(2*452.0581).

FAQ

What is Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane?
Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane is a measure of the rate at which fuel is consumed by a jet airplane to produce a unit of thrust, taking into account the lift coefficient, gross weight, weight without fuel, drag coefficient, and endurance of the aircraft, providing a critical performance indicator for aerospace engineers and researchers and is represented as ct = CL*(ln(W0/W1))/(CD*E) or Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft). 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, 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, 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 & Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.
How to calculate Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane?
Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane is a measure of the rate at which fuel is consumed by a jet airplane to produce a unit of thrust, taking into account the lift coefficient, gross weight, weight without fuel, drag coefficient, and endurance of the aircraft, providing a critical performance indicator for aerospace engineers and researchers is calculated using Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft). To calculate Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane, you need Lift Coefficient (CL), Gross Weight (W0), Weight without Fuel (W1), Drag Coefficient (CD) & Endurance of Aircraft (E). With our tool, you need to enter the respective value for Lift Coefficient, Gross Weight, Weight without Fuel, Drag Coefficient & Endurance of Aircraft 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 Lift Coefficient, Gross Weight, Weight without Fuel, Drag Coefficient & Endurance of Aircraft. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)
  • 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)))
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