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Thrust-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

GoThrust-Specific Fuel Consumption for given Range 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 = C L \cdot \frac{\ln (\frac{W 0}{W 1})}{C D \cdot E}

c_t - Thrust-Specific Fuel Consumption?C_L - Lift Coefficient?W₀ - Gross Weight?W₁ - Weight without Fuel?C_D - Drag Coefficient?E - Endurance of Aircraft?

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

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

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

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

10.17 = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 452.0581}

10.17kg/h/N = 5 \cdot \frac{\ln (\frac{5000kg}{3000kg})}{2 \cdot 452.0581s}

10.17 = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 452.0581}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c t = 5 \cdot \frac{\ln (\frac{5000kg}{3000kg})}{2 \cdot 452.0581s}

Next Step Prepare to Evaluate

∴

c t = 5 \cdot \frac{\ln (\frac{5000}{3000})}{2 \cdot 452.0581}

Next Step Evaluate

∴

c t = 0.00282499983832825kg/s/N

Next Step Convert to Output's Unit

∴

c t = 10.1699994179817kg/h/N

LAST Step Rounding Answer

∴

c t = 10.17kg/h/N

Thrust-Specific Fuel Consumption for given Endurance 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

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

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

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

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 Thrust-Specific Fuel Consumption

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})

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

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}))

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})

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

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

Go Range of Jet Airplane

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

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

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane evaluator uses Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft) to evaluate the Thrust-Specific Fuel Consumption, Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane is a measure of the rate at which fuel is consumed by a jet airplane to produce a unit of thrust, taking into account the lift coefficient, gross weight, weight without fuel, drag coefficient, and endurance of the aircraft, providing a critical performance indicator for aerospace engineers and researchers. Thrust-Specific Fuel Consumption is denoted by c_t symbol.

How to evaluate Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane using this online evaluator? To use this online evaluator for Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane, enter Lift Coefficient (C_L), Gross Weight (W₀), Weight without Fuel (W₁), Drag Coefficient (C_D) & Endurance of Aircraft (E) and hit the calculate button.

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

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

The formula of Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane is expressed as Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft). Here is an example- 36616.7 = 5*(ln(5000/3000))/(2*452.0581).

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

With Lift Coefficient (C_L), Gross Weight (W₀), Weight without Fuel (W₁), Drag Coefficient (C_D) & Endurance of Aircraft (E) we can find Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane using the formula - Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without Fuel))/(Drag Coefficient*Endurance of Aircraft). This formula also uses Natural Logarithm (ln) 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=(1/Endurance of Aircraft)*Lift-to-Drag Ratio*ln(Gross Weight/Weight without Fuel)
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)))

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

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

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

Thrust-Specific Fuel Consumption for given Endurance 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 Endurance of Jet Airplane can be measured.

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Thrust-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

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

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

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

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

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

Variable Name

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

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