Specific Fuel Consumption for given Range of Propeller-Driven Airplane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
c = (η/Rprop)*(CL/CD)*(ln(W0/W1))
This formula uses 1 Functions, 7 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
Specific Fuel Consumption - (Measured in Kilogram per Second per Watt) - Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.
Propeller Efficiency - Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).
Range of Propeller Aircraft - (Measured in Meter) - Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.
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
Propeller Efficiency: 0.93 --> No Conversion Required
Range of Propeller Aircraft: 7126.017 Meter --> 7126.017 Meter No Conversion Required
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
c = (η/Rprop)*(CL/CD)*(ln(W0/W1)) --> (0.93/7126.017)*(5/2)*(ln(5000/3000))
Evaluating ... ...
c = 0.000166666677227395
STEP 3: Convert Result to Output's Unit
0.000166666677227395 Kilogram per Second per Watt -->0.600000038018621 Kilogram per Hour per Watt (Check conversion ​here)
FINAL ANSWER
0.600000038018621 0.6 Kilogram per Hour per Watt <-- Specific Fuel Consumption
(Calculation completed in 00.010 seconds)

Credits

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
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Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Propeller Driven Airplane Calculators

Specific Fuel Consumption for given Range of Propeller-Driven Airplane
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))
Range of Propeller-Driven Airplane for given lift-to-drag ratio
​ LaTeX ​ Go Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))

Specific Fuel Consumption for given Range of Propeller-Driven Airplane Formula

​LaTeX ​Go
Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))
c = (η/Rprop)*(CL/CD)*(ln(W0/W1))

Who gave the Breguet equation?

The Breguet range equation was given by a French aircraft designer and builder, Louis Charles Breguet.

How to Calculate Specific Fuel Consumption for given Range of Propeller-Driven Airplane?

Specific Fuel Consumption for given Range of Propeller-Driven Airplane calculator uses Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)) to calculate the Specific Fuel Consumption, Specific Fuel Consumption for given Range of Propeller-Driven Airplane is a measure of the amount of fuel consumed by an aircraft in relation to its weight and range, considering factors such as propeller efficiency, lift coefficient, and drag coefficient, to optimize flight performance and fuel efficiency. Specific Fuel Consumption is denoted by c symbol.

How to calculate Specific Fuel Consumption for given Range of Propeller-Driven Airplane using this online calculator? To use this online calculator for Specific Fuel Consumption for given Range of Propeller-Driven Airplane, enter Propeller Efficiency (η), Range of Propeller Aircraft (Rprop), Lift Coefficient (CL), Drag Coefficient (CD), Gross Weight (W0) & Weight without Fuel (W1) and hit the calculate button. Here is how the Specific Fuel Consumption for given Range of Propeller-Driven Airplane calculation can be explained with given input values -> 2160.005 = (0.93/7126.017)*(5/2)*(ln(5000/3000)).

FAQ

What is Specific Fuel Consumption for given Range of Propeller-Driven Airplane?
Specific Fuel Consumption for given Range of Propeller-Driven Airplane is a measure of the amount of fuel consumed by an aircraft in relation to its weight and range, considering factors such as propeller efficiency, lift coefficient, and drag coefficient, to optimize flight performance and fuel efficiency and is represented as c = (η/Rprop)*(CL/CD)*(ln(W0/W1)) or Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)). Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power), Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel, 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 Specific Fuel Consumption for given Range of Propeller-Driven Airplane?
Specific Fuel Consumption for given Range of Propeller-Driven Airplane is a measure of the amount of fuel consumed by an aircraft in relation to its weight and range, considering factors such as propeller efficiency, lift coefficient, and drag coefficient, to optimize flight performance and fuel efficiency is calculated using Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel)). To calculate Specific Fuel Consumption for given Range of Propeller-Driven Airplane, you need Propeller Efficiency (η), Range of Propeller Aircraft (Rprop), Lift Coefficient (CL), Drag Coefficient (CD), Gross Weight (W0) & Weight without Fuel (W1). With our tool, you need to enter the respective value for Propeller Efficiency, Range of Propeller Aircraft, 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 Specific Fuel Consumption?
In this formula, Specific Fuel Consumption uses Propeller Efficiency, Range of Propeller Aircraft, Lift Coefficient, Drag Coefficient, Gross Weight & Weight without Fuel. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))
  • 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))
  • 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
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