Induced Inflow Ratio in Hover Calculator

✖Induced Velocity is used to associate the aerodynamic elements that model the lifting surfaces of an aircraft, or the blades of a helicopter rotor when some inflow-related computations are required.ⓘ Induced Velocity [v_i]			+10% -10%
✖Rotor Radius is the radius of rotation of the rotor.ⓘ Rotor Radius [R_rotor]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%

✖The Inflow Ratio is the ratio of total inflow velocity to rotor tip speed.ⓘ Induced Inflow Ratio in Hover [λ]

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Formula

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Induced Inflow Ratio in Hover

Formula

λ = \frac{v i}{R rotor \cdot ω}

Example

4.142857 = \frac{58 m/s}{0.007 km \cdot 2 rad/s}

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Induced Inflow Ratio in Hover Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity)
λ = v_i/(R_rotor*ω)
This formula uses 4 Variables

Variables Used

Inflow Ratio - The Inflow Ratio is the ratio of total inflow velocity to rotor tip speed.
Induced Velocity - (Measured in Meter per Second) - Induced Velocity is used to associate the aerodynamic elements that model the lifting surfaces of an aircraft, or the blades of a helicopter rotor when some inflow-related computations are required.
Rotor Radius - (Measured in Meter) - Rotor Radius is the radius of rotation of the rotor.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

STEP 1: Convert Input(s) to Base Unit

Induced Velocity: 58 Meter per Second --> 58 Meter per Second No Conversion Required
Rotor Radius: 0.007 Kilometer --> 7 Meter (Check conversion here)
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = v_i/(R_rotor*ω) --> 58/(7*2)

Evaluating ... ...

λ = 4.14285714285714

STEP 3: Convert Result to Output's Unit

4.14285714285714 --> No Conversion Required

FINAL ANSWER

4.14285714285714 ≈ 4.142857 <-- Inflow Ratio

(Calculation completed in 00.004 seconds)

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Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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Induced Inflow Ratio in Hover Formula

Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity)
λ = v_i/(R_rotor*ω)

What is the relation between inflow ratio and rotor blade tip velocity?

The inflow ratio is inversely proportional to the rotor blade tip velocity and directly proportional to the free stream velocity.

How to Calculate Induced Inflow Ratio in Hover?

Induced Inflow Ratio in Hover calculator uses Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity) to calculate the Inflow Ratio, The Induced Inflow Ratio in Hover refers to the ratio of the induced velocity at the rotor disc to the velocity of the rotor tip, it quantifies the increase in airspeed induced by the rotor as it generates lift in a hovering condition, the Induced Inflow Ratio provides insights into the efficiency and effectiveness of the rotor in generating lift during hover. Inflow Ratio is denoted by λ symbol.

How to calculate Induced Inflow Ratio in Hover using this online calculator? To use this online calculator for Induced Inflow Ratio in Hover, enter Induced Velocity (v_i), Rotor Radius (R_rotor) & Angular Velocity (ω) and hit the calculate button. Here is how the Induced Inflow Ratio in Hover calculation can be explained with given input values -> 4.142857 = 58/(7*2).

FAQ

What is Induced Inflow Ratio in Hover?

The Induced Inflow Ratio in Hover refers to the ratio of the induced velocity at the rotor disc to the velocity of the rotor tip, it quantifies the increase in airspeed induced by the rotor as it generates lift in a hovering condition, the Induced Inflow Ratio provides insights into the efficiency and effectiveness of the rotor in generating lift during hover and is represented as λ = v_i/(R_rotor*ω) or Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity). Induced Velocity is used to associate the aerodynamic elements that model the lifting surfaces of an aircraft, or the blades of a helicopter rotor when some inflow-related computations are required, Rotor Radius is the radius of rotation of the rotor & The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

How to calculate Induced Inflow Ratio in Hover?

The Induced Inflow Ratio in Hover refers to the ratio of the induced velocity at the rotor disc to the velocity of the rotor tip, it quantifies the increase in airspeed induced by the rotor as it generates lift in a hovering condition, the Induced Inflow Ratio provides insights into the efficiency and effectiveness of the rotor in generating lift during hover is calculated using Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity). To calculate Induced Inflow Ratio in Hover, you need Induced Velocity (v_i), Rotor Radius (R_rotor) & Angular Velocity (ω). With our tool, you need to enter the respective value for Induced Velocity, Rotor Radius & Angular Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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