Solidity of Wind Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius)
ɣ = (N*c)/(pi*R)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Solidity of Wind Machine - Solidity of Wind Machine is the ratio of the blade area to the swept frontal area ( face area) of the machine.
Number of Blades in Wind turbine - Number of Blades in Wind turbine are the total number of airfoil-shaped blades that harness wind energy and drive the rotor of a wind turbine.
Mean Chord of Blades - (Measured in Meter) - Mean Chord of Blades is a straight line joining the leading edge of a propeller blade with its trailing edge.
Rotor Radius - (Measured in Meter) - Rotor Radius is the radius of rotation of the rotor.
STEP 1: Convert Input(s) to Base Unit
Number of Blades in Wind turbine: 2 --> No Conversion Required
Mean Chord of Blades: 0.5 Meter --> 0.5 Meter No Conversion Required
Rotor Radius: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ɣ = (N*c)/(pi*R) --> (2*0.5)/(pi*7)
Evaluating ... ...
ɣ = 0.0454728408833987
STEP 3: Convert Result to Output's Unit
0.0454728408833987 --> No Conversion Required
FINAL ANSWER
0.0454728408833987 0.045473 <-- Solidity of Wind Machine
(Calculation completed in 00.004 seconds)

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DIT UNIVERSITY (DITU), Dehradun
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Free Stream Wind Speed given Drag Coefficient
Go Free Stream Wind Speed = sqrt(Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Drag Coefficient))
Power Extracted by Rotor given Power Coefficient of Wind Machine
Go Power Extracted by Rotor = Power Coefficient of Wind Machine*(0.5*Density of Air*pi*(Rotor Radius^2)*Free Stream Wind Speed^3)
Power Coefficient of Wind Machine
Go Power Coefficient of Wind Machine = Power Extracted by Rotor/(0.5*Density of Air*pi*Rotor Radius^2*Free Stream Wind Speed^3)
Lift Coefficient of Blade of Wind Rotor
Go Lift Coefficient of Blade of Wind Rotor = Lift Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)
Lift Force given Lift Coefficient of Blade
Go Lift Force = Lift Coefficient of Blade of Wind Rotor*0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2
Drag Coefficient of Blade of Wind Rotor
Go Drag Coefficient = Drag Force/(0.5*Density of air VC*pi*Rotor Radius^2*Free Stream Wind Speed^2)
Solidity of Wind Machine
Go Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius)
Number of Blades of Wind Turbine given Solidity of Wind Turbine
Go Number of Blades in Wind turbine = (Solidity of Wind Machine*pi*Rotor Radius)/Mean Chord of Blades
Mean Chord of Blades given Solidity of Wind Machine
Go Mean Chord of Blades = (Solidity of Wind Machine*pi*Rotor Radius)/Number of Blades in Wind turbine
Angular Velocity of Rotor given Tip Speed Ratio
Go Angular Velocity of Rotor = (Tip Speed Ratio*Free Stream Wind Speed)/Rotor Radius
Rotor Radius given Tip Speed Ratio
Go Rotor Radius = (Tip Speed Ratio*Free Stream Wind Speed)/Angular Velocity of Rotor
Tip Speed Ratio
Go Tip Speed Ratio = (Angular Velocity of Rotor*Rotor Radius)/Free Stream Wind Speed

Solidity of Wind Machine Formula

Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius)
ɣ = (N*c)/(pi*R)

What is the effect of solidity on the performance of wind turbine?

As the solidity of turbine increases the rotor shaft torque also increases. This is because the more area of rotor strikes with wind. By increasing the turbine solidity; it increases the static torque coefficient.

How to Calculate Solidity of Wind Machine?

Solidity of Wind Machine calculator uses Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius) to calculate the Solidity of Wind Machine, The Solidity of Wind Machine is the ratio of the blade area to the swept frontal area (face area) of the machine. Solidity of Wind Machine is denoted by ɣ symbol.

How to calculate Solidity of Wind Machine using this online calculator? To use this online calculator for Solidity of Wind Machine, enter Number of Blades in Wind turbine (N), Mean Chord of Blades (c) & Rotor Radius (R) and hit the calculate button. Here is how the Solidity of Wind Machine calculation can be explained with given input values -> 0.045473 = (2*0.5)/(pi*7).

FAQ

What is Solidity of Wind Machine?
The Solidity of Wind Machine is the ratio of the blade area to the swept frontal area (face area) of the machine and is represented as ɣ = (N*c)/(pi*R) or Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius). Number of Blades in Wind turbine are the total number of airfoil-shaped blades that harness wind energy and drive the rotor of a wind turbine, Mean Chord of Blades is a straight line joining the leading edge of a propeller blade with its trailing edge & Rotor Radius is the radius of rotation of the rotor.
How to calculate Solidity of Wind Machine?
The Solidity of Wind Machine is the ratio of the blade area to the swept frontal area (face area) of the machine is calculated using Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius). To calculate Solidity of Wind Machine, you need Number of Blades in Wind turbine (N), Mean Chord of Blades (c) & Rotor Radius (R). With our tool, you need to enter the respective value for Number of Blades in Wind turbine, Mean Chord of Blades & Rotor Radius 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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