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

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

GoSpecific Fuel Consumption for given Range and Lift-to-Drag Ratio 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}{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}})

c - Specific Fuel Consumption?η - Propeller Efficiency?E - Endurance of Aircraft?C_L - Lift Coefficient?C_D - Drag Coefficient?ρ_∞ - Freestream Density?S - Reference Area?W₁ - Weight without Fuel?W₀ - Gross Weight?

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

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Here is how the Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane equation looks like with Values.

Here is how the Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane equation looks like with Units.

Here is how the Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane equation looks like.

0.6029 = \frac{0.93}{452.0581} \cdot \frac{5^{1.5}}{2} \cdot \sqrt{2 \cdot 1.225 \cdot 5.11} \cdot ({(\frac{1}{3000})}^{\frac{1}{2}} - {(\frac{1}{5000})}^{\frac{1}{2}})

0.6029kg/h/W = \frac{0.93}{452.0581s} \cdot \frac{5^{1.5}}{2} \cdot \sqrt{2 \cdot 1.225kg/m³ \cdot 5.11m²} \cdot ({(\frac{1}{3000kg})}^{\frac{1}{2}} - {(\frac{1}{5000kg})}^{\frac{1}{2}})

0.6029 = \frac{0.93}{452.0581} \cdot \frac{5^{1.5}}{2} \cdot \sqrt{2 \cdot 1.225 \cdot 5.11} \cdot ({(\frac{1}{3000})}^{\frac{1}{2}} - {(\frac{1}{5000})}^{\frac{1}{2}})

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

Follow our step by step solution on how to calculate Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane?

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

c = \frac{0.93}{452.0581s} \cdot \frac{5^{1.5}}{2} \cdot \sqrt{2 \cdot 1.225kg/m³ \cdot 5.11m²} \cdot ({(\frac{1}{3000kg})}^{\frac{1}{2}} - {(\frac{1}{5000kg})}^{\frac{1}{2}})

Next Step Prepare to Evaluate

∴

c = \frac{0.93}{452.0581} \cdot \frac{5^{1.5}}{2} \cdot \sqrt{2 \cdot 1.225 \cdot 5.11} \cdot ({(\frac{1}{3000})}^{\frac{1}{2}} - {(\frac{1}{5000})}^{\frac{1}{2}})

Next Step Evaluate

∴

c = 0.000167458384893901kg/s/W

Next Step Convert to Output's Unit

∴

c = 0.602850185618042kg/h/W

LAST Step Rounding Answer

∴

c = 0.6029kg/h/W

Specific Fuel Consumption for given Endurance 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

Endurance of Aircraft

Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.

Symbol: E

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Endurance of Aircraft

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.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(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 Range and Lift-to-Drag Ratio of Propeller-Driven Airplane

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

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})}

How to Evaluate Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane?

Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane evaluator uses 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)) to evaluate the Specific Fuel Consumption, Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane is a measure of the amount of fuel consumed by a propeller-driven airplane to achieve a specific endurance, taking into account factors such as propeller efficiency, lift coefficient, drag coefficient, freestream density, reference area, weight without fuel, and gross weight. Specific Fuel Consumption is denoted by c symbol.

How to evaluate Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane using this online evaluator? To use this online evaluator for Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane, enter Propeller Efficiency (η), Endurance of Aircraft (E), Lift Coefficient (C_L), Drag Coefficient (C_D), Freestream Density (ρ_∞), Reference Area (S), Weight without Fuel (W₁) & Gross Weight (W₀) and hit the calculate button.

FAQs on Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane

What is the formula to find Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane?

The formula of Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane is expressed as 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)). Here is an example- 2170.54 = 0.93/452.0581*5^1.5/2*sqrt(2*1.225*5.11)*((1/3000)^(1/2)-(1/5000)^(1/2)).

How to calculate Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane?

With Propeller Efficiency (η), Endurance of Aircraft (E), Lift Coefficient (C_L), Drag Coefficient (C_D), Freestream Density (ρ_∞), Reference Area (S), Weight without Fuel (W₁) & Gross Weight (W₀) we can find Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane using the formula - 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)). This formula also uses Square Root (sqrt) 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/Range of Propeller Aircraft)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))
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 Endurance of Propeller-Driven Airplane be negative?

No, the Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane, measured in Specific Fuel Consumption cannot be negative.

Which unit is used to measure Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane?

Specific Fuel Consumption for given Endurance 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 Endurance of Propeller-Driven Airplane can be measured.

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

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

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

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

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

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

FAQs on Specific Fuel Consumption for given Endurance of Propeller-Driven Airplane

Variable Name

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

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