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

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

GoThrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag Ratio of Jet Airplane Formula

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Thrust-Specific Fuel Consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output. Check FAQs

c t = (\sqrt{\frac{8}{ρ ∞ \cdot S}}) \cdot (\frac{1}{R jet \cdot C D}) \cdot (\sqrt{C L}) \cdot ((\sqrt{W 0}) - (\sqrt{W 1}))

c_t - Thrust-Specific Fuel Consumption?ρ_∞ - Freestream Density?S - Reference Area?R_jet - Range of Jet Aircraft?C_D - Drag Coefficient?C_L - Lift Coefficient?W₀ - Gross Weight?W₁ - Weight without Fuel?

Thrust-Specific Fuel Consumption for given Range of Jet Airplane Example

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Here is how the Thrust-Specific Fuel Consumption for given Range of Jet Airplane equation looks like with Values.

Here is how the Thrust-Specific Fuel Consumption for given Range of Jet Airplane equation looks like with Units.

Here is how the Thrust-Specific Fuel Consumption for given Range of Jet Airplane equation looks like.

10.1714 = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{7130 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

10.1714kg/h/N = (\sqrt{\frac{8}{1.225kg/m³ \cdot 5.11m²}}) \cdot (\frac{1}{7130m \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000kg}) - (\sqrt{3000kg}))

10.1714 = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{7130 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

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

Follow our step by step solution on how to calculate Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

FIRST Step Consider the formula

c t = (\sqrt{\frac{8}{ρ ∞ \cdot S}}) \cdot (\frac{1}{R jet \cdot C D}) \cdot (\sqrt{C L}) \cdot ((\sqrt{W 0}) - (\sqrt{W 1}))

Next Step Substitute values of Variables

∴

c t = (\sqrt{\frac{8}{1.225kg/m³ \cdot 5.11m²}}) \cdot (\frac{1}{7130m \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000kg}) - (\sqrt{3000kg}))

Next Step Prepare to Evaluate

∴

c t = (\sqrt{\frac{8}{1.225 \cdot 5.11}}) \cdot (\frac{1}{7130 \cdot 2}) \cdot (\sqrt{5}) \cdot ((\sqrt{5000}) - (\sqrt{3000}))

Next Step Evaluate

∴

c t = 0.00282538286624008kg/s/N

Next Step Convert to Output's Unit

∴

c t = 10.1713783184643kg/h/N

LAST Step Rounding Answer

∴

c t = 10.1714kg/h/N

Thrust-Specific Fuel Consumption for given Range of Jet Airplane Formula Elements

Variables

Functions

Thrust-Specific Fuel Consumption

Thrust-Specific Fuel Consumption (TSFC) is the fuel efficiency of an engine design with respect to thrust output.

Symbol: c_t

Measurement: Thrust Specific Fuel ConsumptionUnit: kg/h/N

Note: Value should be greater than 0.

Formulas to find Thrust-Specific Fuel Consumption

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

Range of Jet Aircraft

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

Symbol: R_jet

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Range of Jet Aircraft

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

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

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

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 Thrust-Specific Fuel Consumption

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

c t = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot E}

Go Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag Ratio of Jet Airplane

c t = (\frac{1}{E}) \cdot LD \cdot \ln (\frac{W 0}{W 1})

Other formulas in Jet Airplane category

Go Endurance of Jet Airplane

E = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot c t}

Go Endurance for given Lift-to-Drag Ratio of Jet Airplane

E = (\frac{1}{c t}) \cdot LD \cdot \ln (\frac{W 0}{W 1})

How to Evaluate Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

Thrust-Specific Fuel Consumption for given Range of Jet Airplane evaluator uses 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))) to evaluate the Thrust-Specific Fuel Consumption, Thrust-Specific Fuel Consumption for given Range of Jet Airplane is a measure of the rate at which fuel is consumed by a jet airplane to generate a specific amount of thrust, taking into account factors such as free stream density, reference area, range of the jet aircraft, drag coefficient, lift coefficient, gross weight, and weight without fuel, this formula provides a crucial performance metric for jet airplane design and operation. Thrust-Specific Fuel Consumption is denoted by c_t symbol.

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

FAQs on Thrust-Specific Fuel Consumption for given Range of Jet Airplane

What is the formula to find Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

The formula of Thrust-Specific Fuel Consumption for given Range of Jet Airplane is expressed as 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))). Here is an example- 36637.52 = (sqrt(8/(1.225*5.11)))*(1/(7130*2))*(sqrt(5))*((sqrt(5000))-(sqrt(3000))).

How to calculate Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

With Freestream Density (ρ_∞), Reference Area (S), Range of Jet Aircraft (R_jet), Drag Coefficient (C_D), Lift Coefficient (C_L), Gross Weight (W₀) & Weight without Fuel (W₁) we can find Thrust-Specific Fuel Consumption for given Range of Jet Airplane using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Thrust-Specific Fuel Consumption?

Here are the different ways to Calculate Thrust-Specific Fuel Consumption-

Thrust-Specific Fuel Consumption=Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft)
Thrust-Specific Fuel Consumption=(1/Endurance of Aircraft)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)

Can the Thrust-Specific Fuel Consumption for given Range of Jet Airplane be negative?

No, the Thrust-Specific Fuel Consumption for given Range of Jet Airplane, measured in Thrust Specific Fuel Consumption cannot be negative.

Which unit is used to measure Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

Thrust-Specific Fuel Consumption for given Range of Jet Airplane is usually measured using the Kilogram per Hour per Newton[kg/h/N] for Thrust Specific Fuel Consumption. Kilogram per Second per Newton[kg/h/N], Gram per Second per Newton[kg/h/N] are the few other units in which Thrust-Specific Fuel Consumption for given Range of Jet Airplane can be measured.

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

​GoThrust-Specific Fuel Consumption for given Endurance of Jet Airplane Formula

​GoThrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag Ratio of Jet Airplane Formula

Thrust-Specific Fuel Consumption for given Range of Jet Airplane Example

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

Thrust-Specific Fuel Consumption for given Range of Jet Airplane Formula Elements

Other Formulas to find Thrust-Specific Fuel Consumption

Other formulas in Jet Airplane category

How to Evaluate Thrust-Specific Fuel Consumption for given Range of Jet Airplane?

FAQs on Thrust-Specific Fuel Consumption for given Range of Jet Airplane

Variable Name

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

GoThrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag Ratio of Jet Airplane Formula