Propeller Efficiency for given Endurance of Propeller-Driven Airplane Calculator

✖Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.ⓘ Endurance of Aircraft [E]			+10% -10%
✖Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.ⓘ Specific Fuel Consumption [c]			+10% -10%
✖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.ⓘ Lift Coefficient [C_L]			+10% -10%
✖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.ⓘ Drag Coefficient [C_D]			+10% -10%
✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖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.ⓘ Reference Area [S]			+10% -10%
✖Weight without Fuel is the total weight of the airplane without fuel.ⓘ Weight without Fuel [W₁]			+10% -10%
✖The Gross Weight of the airplane is the weight with full fuel and payload.ⓘ Gross Weight [W₀]			+10% -10%

✖Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).ⓘ Propeller Efficiency for given Endurance of Propeller-Driven Airplane [η]

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Propeller Efficiency for given Endurance of Propeller-Driven Airplane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream Density*Reference Area))*(((1/Weight without Fuel)^(1/2))-((1/Gross Weight)^(1/2))))
η = E/((1/c)*((C_L^1.5)/C_D)*(sqrt(2*ρ_∞*S))*(((1/W₁)^(1/2))-((1/W₀)^(1/2))))
This formula uses 1 Functions, 9 Variables

Functions Used

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., sqrt(Number)

Variables Used

Propeller Efficiency - Propeller Efficiency is defined as power produced (propeller power) divided by power applied (engine power).
Endurance of Aircraft - (Measured in Second) - Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.
Specific Fuel Consumption - (Measured in Kilogram per Second per Watt) - Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.
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.
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.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Reference Area - (Measured in Square Meter) - 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.
Weight without Fuel - (Measured in Kilogram) - Weight without Fuel is the total weight of the airplane without fuel.
Gross Weight - (Measured in Kilogram) - The Gross Weight of the airplane is the weight with full fuel and payload.

STEP 1: Convert Input(s) to Base Unit

Endurance of Aircraft: 452.0581 Second --> 452.0581 Second No Conversion Required
Specific Fuel Consumption: 0.6 Kilogram per Hour per Watt --> 0.000166666666666667 Kilogram per Second per Watt (Check conversion here)
Lift Coefficient: 5 --> No Conversion Required
Drag Coefficient: 2 --> No Conversion Required
Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Reference Area: 5.11 Square Meter --> 5.11 Square Meter No Conversion Required
Weight without Fuel: 3000 Kilogram --> 3000 Kilogram No Conversion Required
Gross Weight: 5000 Kilogram --> 5000 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = E/((1/c)*((C_L^1.5)/C_D)*(sqrt(2*ρ_∞*S))*(((1/W₁)^(1/2))-((1/W₀)^(1/2)))) --> 452.0581/((1/0.000166666666666667)*((5^1.5)/2)*(sqrt(2*1.225*5.11))*(((1/3000)^(1/2))-((1/5000)^(1/2))))

Evaluating ... ...

η = 0.925603098932348

STEP 3: Convert Result to Output's Unit

0.925603098932348 --> No Conversion Required

FINAL ANSWER

0.925603098932348 ≈ 0.925603 <-- Propeller Efficiency

(Calculation completed in 00.012 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Propeller Driven Airplane Calculators

Specific Fuel Consumption for given Range of Propeller-Driven Airplane

LaTeX Go Specific Fuel Consumption = (Propeller Efficiency/Range of Propeller Aircraft)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))

Range of Propeller-Driven Airplane

LaTeX Go Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*(ln(Gross Weight/Weight without Fuel))

Propeller Efficiency for given Range of Propeller-Driven Airplane

LaTeX Go Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))

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

LaTeX Go Range of Propeller Aircraft = (Propeller Efficiency/Specific Fuel Consumption)*(Lift-to-Drag Ratio)*(ln(Gross Weight/Weight without Fuel))

Propeller Efficiency for given Endurance of Propeller-Driven Airplane Formula

LaTeX Go

At what altitude is the best endurance obtained?

Maximum endurance is flown at the lowest practical altitude because endurance is flown at an indicated airspeed for a given weight.

How to Calculate Propeller Efficiency for given Endurance of Propeller-Driven Airplane?

Propeller Efficiency for given Endurance of Propeller-Driven Airplane calculator uses Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream Density*Reference Area))*(((1/Weight without Fuel)^(1/2))-((1/Gross Weight)^(1/2)))) to calculate the Propeller Efficiency, Propeller Efficiency for given Endurance of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into useful thrust, taking into account the endurance range of the airplane, specific fuel consumption, lift and drag coefficients, free stream density, reference area, and gross weight. Propeller Efficiency is denoted by η symbol.

How to calculate Propeller Efficiency for given Endurance of Propeller-Driven Airplane using this online calculator? To use this online calculator for Propeller Efficiency for given Endurance of Propeller-Driven Airplane, enter Endurance of Aircraft (E), Specific Fuel Consumption (c), 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. Here is how the Propeller Efficiency for given Endurance of Propeller-Driven Airplane calculation can be explained with given input values -> 0.925484 = 452.0581/((1/0.000166666666666667)*((5^1.5)/2)*(sqrt(2*1.225*5.11))*(((1/3000)^(1/2))-((1/5000)^(1/2)))).

FAQ

What is Propeller Efficiency for given Endurance of Propeller-Driven Airplane?

Propeller Efficiency for given Endurance of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into useful thrust, taking into account the endurance range of the airplane, specific fuel consumption, lift and drag coefficients, free stream density, reference area, and gross weight and is represented as η = E/((1/c)*((C_L^1.5)/C_D)*(sqrt(2*ρ_∞*S))*(((1/W₁)^(1/2))-((1/W₀)^(1/2)))) or Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream Density*Reference Area))*(((1/Weight without Fuel)^(1/2))-((1/Gross Weight)^(1/2)))). Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight, Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time, 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, 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, Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, 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, Weight without Fuel is the total weight of the airplane without fuel & The Gross Weight of the airplane is the weight with full fuel and payload.

How to calculate Propeller Efficiency for given Endurance of Propeller-Driven Airplane?

Propeller Efficiency for given Endurance of Propeller-Driven Airplane is a measure of the effectiveness of a propeller in converting engine power into useful thrust, taking into account the endurance range of the airplane, specific fuel consumption, lift and drag coefficients, free stream density, reference area, and gross weight is calculated using Propeller Efficiency = Endurance of Aircraft/((1/Specific Fuel Consumption)*((Lift Coefficient^1.5)/Drag Coefficient)*(sqrt(2*Freestream Density*Reference Area))*(((1/Weight without Fuel)^(1/2))-((1/Gross Weight)^(1/2)))). To calculate Propeller Efficiency for given Endurance of Propeller-Driven Airplane, you need Endurance of Aircraft (E), Specific Fuel Consumption (c), Lift Coefficient (C_L), Drag Coefficient (C_D), Freestream Density (ρ_∞), Reference Area (S), Weight without Fuel (W₁) & Gross Weight (W₀). With our tool, you need to enter the respective value for Endurance of Aircraft, Specific Fuel Consumption, Lift Coefficient, Drag Coefficient, Freestream Density, Reference Area, Weight without Fuel & Gross Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Propeller Efficiency?

In this formula, Propeller Efficiency uses Endurance of Aircraft, Specific Fuel Consumption, Lift Coefficient, Drag Coefficient, Freestream Density, Reference Area, Weight without Fuel & Gross Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -

Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption*Drag Coefficient/(Lift Coefficient*ln(Gross Weight/Weight without Fuel))
Propeller Efficiency = Range of Propeller Aircraft*Specific Fuel Consumption/(Lift-to-Drag Ratio*(ln(Gross Weight/Weight without Fuel)))
Propeller Efficiency = Available Power/Brake Power

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