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Radius of Cylinder for Non-Lifting Flow Formula

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The Cylinder Radius is the radius of its circular cross section. Check FAQs

R = \sqrt{\frac{κ}{2 \cdot π \cdot V ∞}}

R - Cylinder Radius?κ - Doublet Strength?V_∞ - Freestream Velocity?π - Archimedes' constant?

Radius of Cylinder for Non-Lifting Flow Example

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Here is how the Radius of Cylinder for Non-Lifting Flow equation looks like with Values.

Here is how the Radius of Cylinder for Non-Lifting Flow equation looks like with Units.

Here is how the Radius of Cylinder for Non-Lifting Flow equation looks like.

0.0712 = \sqrt{\frac{0.22}{2 \cdot 3.1416 \cdot 6.9}}

0.0712m = \sqrt{\frac{0.22m³/s}{2 \cdot 3.1416 \cdot 6.9m/s}}

0.0712 = \sqrt{\frac{0.22}{2 \cdot 3.1416 \cdot 6.9}}

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Radius of Cylinder for Non-Lifting Flow Solution

Follow our step by step solution on how to calculate Radius of Cylinder for Non-Lifting Flow?

FIRST Step Consider the formula

R = \sqrt{\frac{κ}{2 \cdot π \cdot V ∞}}

Next Step Substitute values of Variables

∴

R = \sqrt{\frac{0.22m³/s}{2 \cdot π \cdot 6.9m/s}}

Next Step Substitute values of Constants

∴

R = \sqrt{\frac{0.22m³/s}{2 \cdot 3.1416 \cdot 6.9m/s}}

Next Step Prepare to Evaluate

∴

R = \sqrt{\frac{0.22}{2 \cdot 3.1416 \cdot 6.9}}

Next Step Evaluate

∴

R = 0.0712355629718437m

LAST Step Rounding Answer

∴

R = 0.0712m

Radius of Cylinder for Non-Lifting Flow Formula Elements

Variables

Constants

Functions

Cylinder Radius

The Cylinder Radius is the radius of its circular cross section.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cylinder Radius

Doublet Strength

Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.

Symbol: κ

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Doublet Strength

Freestream Velocity

The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Nonlifting Flow over Cylinder category

Go Stream Function for Non-Lifting Flow over Circular Cylinder

ψ = V ∞ \cdot r \cdot \sin (θ) \cdot (1 - {(\frac{R}{r})}^{2})

Go Tangential Velocity for Non-Lifting Flow over Circular Cylinder

V θ = - (1 + {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \sin (θ)

Go Radial Velocity for Non-Lifting Flow over Circular Cylinder

V r = (1 - {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \cos (θ)

Go Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

C p = 1 - 4 \cdot {(\sin (θ))}^{2}

How to Evaluate Radius of Cylinder for Non-Lifting Flow?

Radius of Cylinder for Non-Lifting Flow evaluator uses Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)) to evaluate the Cylinder Radius, The Radius of cylinder for non-lifting flow formula is defined as the function of doublet strength and freestream velocity. Cylinder Radius is denoted by R symbol.

How to evaluate Radius of Cylinder for Non-Lifting Flow using this online evaluator? To use this online evaluator for Radius of Cylinder for Non-Lifting Flow, enter Doublet Strength (κ) & Freestream Velocity (V_∞) and hit the calculate button.

FAQs on Radius of Cylinder for Non-Lifting Flow

What is the formula to find Radius of Cylinder for Non-Lifting Flow?

The formula of Radius of Cylinder for Non-Lifting Flow is expressed as Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). Here is an example- 0.503711 = sqrt(0.22/(2*pi*6.9)).

How to calculate Radius of Cylinder for Non-Lifting Flow?

With Doublet Strength (κ) & Freestream Velocity (V_∞) we can find Radius of Cylinder for Non-Lifting Flow using the formula - Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Radius of Cylinder for Non-Lifting Flow be negative?

No, the Radius of Cylinder for Non-Lifting Flow, measured in Length cannot be negative.

Which unit is used to measure Radius of Cylinder for Non-Lifting Flow?

Radius of Cylinder for Non-Lifting Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Cylinder for Non-Lifting Flow can be measured.

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