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Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula

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

GoSpecific Fuel Consumption for given Endurance of Propeller-Driven Airplane Formula

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Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time. Check FAQs

c = (\frac{η}{R prop}) \cdot (LD) \cdot (\ln (\frac{W 0}{W 1}))

c - Specific Fuel Consumption?η - Propeller Efficiency?R_prop - Range of Propeller Aircraft?LD - Lift-to-Drag Ratio?W₀ - Gross Weight?W₁ - Weight without Fuel?

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Example

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Here is how the Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like with Values.

Here is how the Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like with Units.

Here is how the Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane equation looks like.

0.6 = (\frac{0.93}{7126.017}) \cdot (2.5) \cdot (\ln (\frac{5000}{3000}))

0.6kg/h/W = (\frac{0.93}{7126.017m}) \cdot (2.5) \cdot (\ln (\frac{5000kg}{3000kg}))

0.6 = (\frac{0.93}{7126.017}) \cdot (2.5) \cdot (\ln (\frac{5000}{3000}))

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Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Solution

Follow our step by step solution on how to calculate Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

FIRST Step Consider the formula

c = (\frac{η}{R prop}) \cdot (LD) \cdot (\ln (\frac{W 0}{W 1}))

Next Step Substitute values of Variables

∴

c = (\frac{0.93}{7126.017m}) \cdot (2.5) \cdot (\ln (\frac{5000kg}{3000kg}))

Next Step Prepare to Evaluate

∴

c = (\frac{0.93}{7126.017}) \cdot (2.5) \cdot (\ln (\frac{5000}{3000}))

Next Step Evaluate

∴

c = 0.000166666677227395kg/s/W

Next Step Convert to Output's Unit

∴

c = 0.600000038018621kg/h/W

LAST Step Rounding Answer

∴

c = 0.6kg/h/W

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula Elements

Variables

Functions

Specific Fuel Consumption

Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.

Symbol: c

Measurement: Specific Fuel ConsumptionUnit: kg/h/W

Note: Value should be greater than 0.

Formulas to find Specific Fuel Consumption

Propeller Efficiency

Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Propeller Efficiency

Range of Propeller Aircraft

Range of Propeller Aircraft is defined as the total distance (measured with respect to ground) traversed by the aircraft on a tank of fuel.

Symbol: R_prop

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Range of Propeller Aircraft

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.

Symbol: LD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift-to-Drag Ratio

Gross Weight

The Gross Weight of the airplane is the weight with full fuel and payload.

Symbol: W₀

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Gross Weight

Weight without Fuel

Weight without Fuel is the total weight of the airplane without fuel.

Symbol: W₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight without Fuel

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Specific Fuel Consumption

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

c = (\frac{η}{R prop}) \cdot (\frac{C L}{C D}) \cdot (\ln (\frac{W 0}{W 1}))

Go Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane

c = \frac{η}{E} \cdot \frac{{C L}^{1.5}}{C D} \cdot \sqrt{2 \cdot ρ ∞ \cdot S} \cdot ({(\frac{1}{W 1})}^{\frac{1}{2}} - {(\frac{1}{W 0})}^{\frac{1}{2}})

Go Specific Fuel Consumption given Range for Prop-Driven Aircraft

c = \frac{η \cdot LDmax ratio \cdot \ln (\frac{W i}{W f})}{R prop}

Go Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft

c = \frac{LDEmax ratio prop \cdot η \cdot \ln (\frac{W L,beg}{W L,end})}{E \cdot V Emax}

Other formulas in Propeller Driven Airplane category

Go Range of Propeller-Driven Airplane

R prop = (\frac{η}{c}) \cdot (\frac{C L}{C D}) \cdot (\ln (\frac{W 0}{W 1}))

Go Propeller Efficiency for given Range of Propeller-Driven Airplane

η = R prop \cdot c \cdot \frac{C D}{C L \cdot \ln (\frac{W 0}{W 1})}

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

R prop = (\frac{η}{c}) \cdot (LD) \cdot (\ln (\frac{W 0}{W 1}))

Go Propeller Efficiency for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

η = R prop \cdot \frac{c}{LD \cdot (\ln (\frac{W 0}{W 1}))}

How to Evaluate Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane evaluator uses Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel)) to evaluate the Specific Fuel Consumption, Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane is a measure of the rate at which fuel is consumed by a propeller-driven airplane to achieve a specific range, taking into account the propeller's efficiency, lift-to-drag ratio, and the aircraft's weight, this formula provides a valuable calculation for optimizing fuel efficiency in aircraft design and operation. Specific Fuel Consumption is denoted by c symbol.

How to evaluate Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane using this online evaluator? To use this online evaluator for Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane, enter Propeller Efficiency (η), Range of Propeller Aircraft (R_prop), Lift-to-Drag Ratio (LD), Gross Weight (W₀) & Weight without Fuel (W₁) and hit the calculate button.

FAQs on Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

What is the formula to find Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

The formula of Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane is expressed as Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel)). Here is an example- 2160.005 = (0.93/7126.017)*(2.5)*(ln(5000/3000)).

How to calculate Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

With Propeller Efficiency (η), Range of Propeller Aircraft (R_prop), Lift-to-Drag Ratio (LD), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane using the formula - Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel)). This formula also uses Natural Logarithm Function function(s).

What are the other ways to Calculate Specific Fuel Consumption?

Here are the different ways to Calculate Specific Fuel Consumption-

Specific Fuel Consumption=(Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(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

Can the Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane be negative?

No, the Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane, measured in Specific Fuel Consumption cannot be negative.

Which unit is used to measure Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane is usually measured using the Kilogram per Hour per Watt[kg/h/W] for Specific Fuel Consumption. Kilogram per Second per Watt[kg/h/W], Kilogram per Second per Brake horsepower[kg/h/W], Kilogram per Hour per Kilowatt[kg/h/W] are the few other units in which Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane can be measured.

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Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula

​GoSpecific Fuel Consumption for given Range of Propeller-Driven Airplane Formula

​GoSpecific Fuel Consumption for given Endurance of Propeller-Driven Airplane Formula

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Example

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Solution

Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane Formula Elements

Other Formulas to find Specific Fuel Consumption

Other formulas in Propeller Driven Airplane category

How to Evaluate Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane?

FAQs on Specific Fuel Consumption for given Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

Variable Name

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

GoSpecific Fuel Consumption for given Endurance of Propeller-Driven Airplane Formula