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Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft 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{LDEmax ratio prop \cdot η \cdot \ln (\frac{W L,beg}{W L,end})}{E \cdot V Emax}

c - Specific Fuel Consumption?LDEmax_{ratio prop} - Lift to Drag Ratio at Maximum Endurance Prop?η - Propeller Efficiency?W_L,beg - Weight at Start of Loiter Phase?W_L,end - Weight at End of Loiter Phase?E - Endurance of Aircraft?V_Emax - Velocity for Maximum Endurance?

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

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Here is how the Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft equation looks like with Values.

Here is how the Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft equation looks like with Units.

Here is how the Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft equation looks like.

0.6 = \frac{85.0491 \cdot 0.93 \cdot \ln (\frac{400}{394.1})}{452.0581 \cdot 15.6}

0.6kg/h/W = \frac{85.0491 \cdot 0.93 \cdot \ln (\frac{400kg}{394.1kg})}{452.0581s \cdot 15.6m/s}

0.6 = \frac{85.0491 \cdot 0.93 \cdot \ln (\frac{400}{394.1})}{452.0581 \cdot 15.6}

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

Follow our step by step solution on how to calculate Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = \frac{85.0491 \cdot 0.93 \cdot \ln (\frac{400kg}{394.1kg})}{452.0581s \cdot 15.6m/s}

Next Step Prepare to Evaluate

∴

c = \frac{85.0491 \cdot 0.93 \cdot \ln (\frac{400}{394.1})}{452.0581 \cdot 15.6}

Next Step Evaluate

∴

c = 0.000166666675644176kg/s/W

Next Step Convert to Output's Unit

∴

c = 0.600000032319033kg/h/W

LAST Step Rounding Answer

∴

c = 0.6kg/h/W

Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft 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

Lift to Drag Ratio at Maximum Endurance Prop

Lift to Drag Ratio at Maximum Endurance Prop is the ratio of lift to drag at which the plane can fly (or loiter) for maximum time.

Symbol: LDEmax_{ratio prop}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift to Drag Ratio at Maximum Endurance Prop

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

Weight at Start of Loiter Phase

Weight at Start of Loiter Phase is considered as the weight of the plane just before going to loiter phase.

Symbol: W_L,beg

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight at Start of Loiter Phase

Weight at End of Loiter Phase

The Weight at End of Loiter Phase refers to the aircraft's mass after completing a period of flying at a predetermined location or holding pattern.

Symbol: W_L,end

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight at End of Loiter Phase

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

Velocity for Maximum Endurance

Velocity for Maximum Endurance is velocity of plane at which a plane can loiter for maximum time i.e. for maximum endurance.

Symbol: V_Emax

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity for Maximum Endurance

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 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 given Preliminary Endurance for Prop-Driven Aircraft?

Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft evaluator uses Specific Fuel Consumption = (Lift to Drag Ratio at Maximum Endurance Prop*Propeller Efficiency*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/(Endurance of Aircraft*Velocity for Maximum Endurance) to evaluate the Specific Fuel Consumption, Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft is a measure of the amount of fuel consumed by an aircraft per unit of time, taking into account the lift-to-drag ratio, propeller efficiency, and the weight and velocity of the aircraft during maximum endurance, enabling the calculation of fuel requirements for optimal performance. Specific Fuel Consumption is denoted by c symbol.

How to evaluate Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft using this online evaluator? To use this online evaluator for Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft, enter Lift to Drag Ratio at Maximum Endurance Prop (LDEmax_{ratio prop}), Propeller Efficiency (η), Weight at Start of Loiter Phase (W_L,beg), Weight at End of Loiter Phase (W_L,end), Endurance of Aircraft (E) & Velocity for Maximum Endurance (V_Emax) and hit the calculate button.

FAQs on Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft

What is the formula to find Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft?

The formula of Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft is expressed as Specific Fuel Consumption = (Lift to Drag Ratio at Maximum Endurance Prop*Propeller Efficiency*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/(Endurance of Aircraft*Velocity for Maximum Endurance). Here is an example- 111.7472 = (85.04913*0.93*ln(400/394.1))/(452.0581*15.6).

How to calculate Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft?

With Lift to Drag Ratio at Maximum Endurance Prop (LDEmax_{ratio prop}), Propeller Efficiency (η), Weight at Start of Loiter Phase (W_L,beg), Weight at End of Loiter Phase (W_L,end), Endurance of Aircraft (E) & Velocity for Maximum Endurance (V_Emax) we can find Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft using the formula - Specific Fuel Consumption = (Lift to Drag Ratio at Maximum Endurance Prop*Propeller Efficiency*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/(Endurance of Aircraft*Velocity for Maximum Endurance). This formula also uses Natural Logarithm (ln) 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/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))

Can the Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft be negative?

No, the Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft, measured in Specific Fuel Consumption cannot be negative.

Which unit is used to measure Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft?

Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft 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 given Preliminary Endurance for Prop-Driven Aircraft can be measured.

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

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

Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft Formula Elements

Other Formulas to find Specific Fuel Consumption

Other formulas in Propeller Driven Airplane category

How to Evaluate Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft?

FAQs on Specific Fuel Consumption given Preliminary Endurance for Prop-Driven Aircraft

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