Induced Inflow Ratio in Hover Calculator

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✖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]			+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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Credits

Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has verified this Calculator and 10+ more calculators!

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*ω)
This formula uses 3 Variables

Variables Used

Induced 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. (Measured in Meter per Second)
Rotor Radius - Rotor Radius is the radius of rotation of the rotor. (Measured in Meter)
Angular Velocity - 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. (Measured in Radian per Second)

STEP 1: Convert Input(s) to Base Unit

Induced velocity: 30 Meter per Second --> 30 Meter per Second No Conversion Required
Rotor Radius: 7 Meter --> 7 Meter No Conversion Required
Angular Velocity: 1 Radian per Second --> 1 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = v_i/(R*ω) --> 30/(7*1)

Evaluating ... ...

λ = 4.28571428571429

STEP 3: Convert Result to Output's Unit

4.28571428571429 --> No Conversion Required

FINAL ANSWER

4.28571428571429 <-- Inflow ratio

(Calculation completed in 00.000 seconds)

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Summations of priorities of objectives that need to be maximized (Millitary planes)

Priority Sum of objectives to be maximized (%) = Performance Priority (%)+Flight Quality Priority (%)+Scariness Priority (%)+Maintainability Priority (%)+Producibility Priority (%)+Disposability Priority (%)+Stealth Priority (%) Go

Priority of objective weight in design process given minimum design index

Weight Priority (%) = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Index Go

Priority of objective cost in design process given minimum design index

Cost Priority (%) = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Period Index*Period Priority (%)))/Cost Index Go

Priority of objective period of design given minimum design index

Period Priority (%) = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Cost Index*Cost Priority (%)))/Period Index Go

Period of design index in terms of minimum design index

Period Index = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Cost Index*Cost Priority (%)))/Period Priority (%) Go

Weight index in terms of minimum design index

Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%) Go

Cost index in terms of minimum design index

Cost Index = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Period Index*Period Priority (%)))/Cost Priority (%) Go

Minimum design index

Minimum Design Index = ((Cost Index*Cost Priority (%))+(Weight Index*Weight Priority (%))+(Period Index*Period Priority (%)))/100 Go

Summation of priorities of all objectives that need to be minimized

Priority Sum of objectives to be minimized(%) = Cost Priority (%)+Weight Priority (%)+Period Priority (%) Go

Propulsion Net Thrust

Thrust force = Air mass flow rate*(Velocity of Jet-Flight velocity) Go

Induced Inflow Ratio in Hover Formula

Inflow ratio = Induced velocity/(Rotor Radius*Angular Velocity)
λ = v_i/(R*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 formula is defined as the ratio of the velocity of air moving vertically through the rotor to the velocity of the rim of the rotor. 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) & 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 -> 4.285714 = 30/(7*1).

FAQ

What is Induced Inflow Ratio in Hover?

The Induced Inflow Ratio in Hover formula is defined as the ratio of the velocity of air moving vertically through the rotor to the velocity of the rim of the rotor and is represented as λ = v_i/(R*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 formula is defined as the ratio of the velocity of air moving vertically through the rotor to the velocity of the rim of the rotor 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) & 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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