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Aerofoil Thickness for 4 Digit Series Formula

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The Half Thickness of the airfoil is the thickness at a distance of x from the leading edge. Check FAQs

y t = \frac{t \cdot (0.2969 \cdot x^{0.5} - 0.1260 \cdot x - 0.3516 \cdot x^{2} + 0.2843 \cdot x^{3} - 0.1015 \cdot x^{4})}{0.2}

y_t - Half Thickness?t - Maximum Thickness?x - Position along the Chord?

Aerofoil Thickness for 4 Digit Series Example

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Here is how the Aerofoil Thickness for 4 Digit Series equation looks like with Values.

Here is how the Aerofoil Thickness for 4 Digit Series equation looks like with Units.

Here is how the Aerofoil Thickness for 4 Digit Series equation looks like.

0.0662 = \frac{0.15 \cdot (0.2969 \cdot {0.5}^{0.5} - 0.1260 \cdot 0.5 - 0.3516 \cdot {0.5}^{2} + 0.2843 \cdot {0.5}^{3} - 0.1015 \cdot {0.5}^{4})}{0.2}

0.0662m = \frac{0.15m \cdot (0.2969 \cdot {0.5}^{0.5} - 0.1260 \cdot 0.5 - 0.3516 \cdot {0.5}^{2} + 0.2843 \cdot {0.5}^{3} - 0.1015 \cdot {0.5}^{4})}{0.2}

0.0662 = \frac{0.15 \cdot (0.2969 \cdot {0.5}^{0.5} - 0.1260 \cdot 0.5 - 0.3516 \cdot {0.5}^{2} + 0.2843 \cdot {0.5}^{3} - 0.1015 \cdot {0.5}^{4})}{0.2}

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Aerofoil Thickness for 4 Digit Series Solution

Follow our step by step solution on how to calculate Aerofoil Thickness for 4 Digit Series?

FIRST Step Consider the formula

y t = \frac{t \cdot (0.2969 \cdot x^{0.5} - 0.1260 \cdot x - 0.3516 \cdot x^{2} + 0.2843 \cdot x^{3} - 0.1015 \cdot x^{4})}{0.2}

Next Step Substitute values of Variables

∴

y t = \frac{0.15m \cdot (0.2969 \cdot {0.5}^{0.5} - 0.1260 \cdot 0.5 - 0.3516 \cdot {0.5}^{2} + 0.2843 \cdot {0.5}^{3} - 0.1015 \cdot {0.5}^{4})}{0.2}

Next Step Prepare to Evaluate

∴

y t = \frac{0.15 \cdot (0.2969 \cdot {0.5}^{0.5} - 0.1260 \cdot 0.5 - 0.3516 \cdot {0.5}^{2} + 0.2843 \cdot {0.5}^{3} - 0.1015 \cdot {0.5}^{4})}{0.2}

Next Step Evaluate

∴

y t = 0.0661753150007145m

LAST Step Rounding Answer

∴

y t = 0.0662m

Aerofoil Thickness for 4 Digit Series Formula Elements

Variables

Half Thickness

The Half Thickness of the airfoil is the thickness at a distance of x from the leading edge.

Symbol: y_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Half Thickness

Maximum Thickness

Maximum Thickness is the fraction of the chord length.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Thickness

Position along the Chord

Position along the Chord is the distance between the trailing edge and the point where the chord intersects the leading edge.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.01.

Formulas to find Position along the Chord

Other formulas in Aerodynamic Design category

Go Thrust-to-Weight Ratio given Minimum Coefficient of Drag

TW = (\frac{C Dmin}{W S} + k \cdot {(\frac{n}{q})}^{2} \cdot W S) \cdot q

Go Taper Ratio of Airfoil

Λ = \frac{C tip}{C root}

Go Tip Speed Ratio with Blade Number

λ = \frac{4 \cdot π}{N}

Go Gross Weight given Drag

W 0 = F D \cdot (\frac{C L}{C D})

How to Evaluate Aerofoil Thickness for 4 Digit Series?

Aerofoil Thickness for 4 Digit Series evaluator uses Half Thickness = (Maximum Thickness*(0.2969*Position along the Chord^0.5-0.1260*Position along the Chord-0.3516*Position along the Chord^2+0.2843*Position along the Chord^3-0.1015*Position along the Chord^4))/0.2 to evaluate the Half Thickness, The Aerofoil Thickness for 4 Digit Series refers to the maximum thickness of the airfoil, expressed as a percentage of the chord length. This formula calculates the thickness distribution of the airfoil at any point along the chord length x, where 0≤x≤1. Half Thickness is denoted by y_t symbol.

How to evaluate Aerofoil Thickness for 4 Digit Series using this online evaluator? To use this online evaluator for Aerofoil Thickness for 4 Digit Series, enter Maximum Thickness (t) & Position along the Chord (x) and hit the calculate button.

FAQs on Aerofoil Thickness for 4 Digit Series

What is the formula to find Aerofoil Thickness for 4 Digit Series?

The formula of Aerofoil Thickness for 4 Digit Series is expressed as Half Thickness = (Maximum Thickness*(0.2969*Position along the Chord^0.5-0.1260*Position along the Chord-0.3516*Position along the Chord^2+0.2843*Position along the Chord^3-0.1015*Position along the Chord^4))/0.2. Here is an example- 0.066175 = (0.15*(0.2969*0.5^0.5-0.1260*0.5-0.3516*0.5^2+0.2843*0.5^3-0.1015*0.5^4))/0.2.

How to calculate Aerofoil Thickness for 4 Digit Series?

With Maximum Thickness (t) & Position along the Chord (x) we can find Aerofoil Thickness for 4 Digit Series using the formula - Half Thickness = (Maximum Thickness*(0.2969*Position along the Chord^0.5-0.1260*Position along the Chord-0.3516*Position along the Chord^2+0.2843*Position along the Chord^3-0.1015*Position along the Chord^4))/0.2.

Can the Aerofoil Thickness for 4 Digit Series be negative?

No, the Aerofoil Thickness for 4 Digit Series, measured in Length cannot be negative.

Which unit is used to measure Aerofoil Thickness for 4 Digit Series?

Aerofoil Thickness for 4 Digit Series is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Aerofoil Thickness for 4 Digit Series can be measured.

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