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 rotor's swept area to the total rotor area of a wind turbine.
Number of Blades in Wind turbine - Number of Blades in Wind turbine is the quantity of blades in a wind turbine that converts wind energy into electrical energy.
Mean Chord of Blades - (Measured in Meter) - Mean Chord of Blades is the average length of the blades in a wind turbine, affecting energy production efficiency.
Rotor Radius - (Measured in Meter) - Rotor Radius is the distance from the axis of rotation to the tip of the blade in a 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)

Credits

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Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
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National Institute Of Technology (NIT), Hamirpur
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Solidity of Wind Machine Formula

​LaTeX ​Go
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?

The solidity of a wind turbine, defined as the ratio of the total blade area to the swept area of the rotor, significantly impacts its performance. Higher solidity increases the blade area available to capture wind, enhancing lift and improving power generation, particularly at lower wind speeds. However, it also leads to greater drag, which can reduce overall efficiency, especially at higher speeds. Turbines with high solidity are typically more suited for low-speed, high-torque applications, such as vertical-axis wind turbines, while those with lower solidity are more efficient in high-speed conditions, commonly seen in horizontal-axis wind turbines. Additionally, higher solidity can improve stability and control under varying wind conditions, making it a critical factor in the design and application of wind turbines.

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 -> 0.045538 = (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 is the quantity of blades in a wind turbine that converts wind energy into electrical energy, Mean Chord of Blades is the average length of the blades in a wind turbine, affecting energy production efficiency & Rotor Radius is the distance from the axis of rotation to the tip of the blade in a 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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