Radius of Cylinder for Non-Lifting Flow Calculator

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Two-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

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Flow and Lift Distribution

Elementary Flows

Flow over Airfoils and Wings

Lift Distribution

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Flow over Cylinder

Kutta-Joukowski Lift Theorem

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Nonlifting Flow over Cylinder

Lifting Flow over Cylinder

✖Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [κ]			+10% -10%
✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity [V_∞]			+10% -10%

✖The Cylinder Radius is the radius of its circular cross section.ⓘ Radius of Cylinder for Non-Lifting Flow [R]

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Formula

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Radius of Cylinder for Non-Lifting Flow

Formula

`"R" = sqrt("κ"/(2*pi*"V"_{"∞"}))`

Example

`"0.071236m"=sqrt("0.22m³/s"/(2*pi*"6.9m/s"))`

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Radius of Cylinder for Non-Lifting Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))
R = sqrt(κ/(2*pi*V_∞))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Doublet Strength - (Measured in Cubic Meter per Second) - Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

STEP 1: Convert Input(s) to Base Unit

Doublet Strength: 0.22 Cubic Meter per Second --> 0.22 Cubic Meter per Second No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = sqrt(κ/(2*pi*V_∞)) --> sqrt(0.22/(2*pi*6.9))

Evaluating ... ...

R = 0.0712355629718437

STEP 3: Convert Result to Output's Unit

0.0712355629718437 Meter --> No Conversion Required

FINAL ANSWER

0.0712355629718437 ≈ 0.071236 Meter <-- Cylinder Radius

(Calculation completed in 00.004 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 10+ Nonlifting Flow over Cylinder Calculators

Stream Function for Non-Lifting Flow over Circular Cylinder

Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2)

Angular Position given Tangential Velocity for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = -arsin(Tangential Velocity/((1+Cylinder Radius^2/Radial Coordinate^2)*Freestream Velocity))

Tangential Velocity for Non-Lifting Flow over Circular Cylinder

Go Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)

Angular Position given Radial Velocity for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = arccos(Radial Velocity/((1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity))

Radial Velocity for Non-Lifting Flow over Circular Cylinder

Go Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)

Radius of Cylinder for Non-Lifting Flow

Go Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))

Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder

Go Freestream Velocity = Doublet Strength/(Cylinder Radius^2*2*pi)

Doublet Strength given Radius of Cylinder for Non-Lifting Flow

Go Doublet Strength = Cylinder Radius^2*2*pi*Freestream Velocity

Angular Position given Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Go Polar Angle = arsin(sqrt(1-(Surface Pressure Coefficient))/2)

Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

Go Surface Pressure Coefficient = 1-4*(sin(Polar Angle))^2

Radius of Cylinder for Non-Lifting Flow Formula

Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))
R = sqrt(κ/(2*pi*V_∞))

How to obtain location of stagnation points?

The location of stagnation points are obtained by equating the radial and tangential component of velocity to zero and solving it for the radial distance and polar angle.

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

Radius of Cylinder for Non-Lifting Flow calculator uses Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)) to calculate 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 calculate Radius of Cylinder for Non-Lifting Flow using this online calculator? To use this online calculator for Radius of Cylinder for Non-Lifting Flow, enter Doublet Strength (κ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Radius of Cylinder for Non-Lifting Flow calculation can be explained with given input values -> 0.503711 = sqrt(0.22/(2*pi*6.9)).

FAQ

What is Radius of Cylinder for Non-Lifting Flow?

The Radius of cylinder for non-lifting flow formula is defined as the function of doublet strength and freestream velocity and is represented as R = sqrt(κ/(2*pi*V_∞)) or Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength & The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

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

The Radius of cylinder for non-lifting flow formula is defined as the function of doublet strength and freestream velocity is calculated using Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). To calculate Radius of Cylinder for Non-Lifting Flow, you need Doublet Strength (κ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Doublet Strength & Freestream 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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