Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder 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 Cylinder Radius is the radius of its circular cross section.ⓘ Cylinder Radius [R]			+10% -10%

✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder [V_∞]

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Formula

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

Formula

`"V"_{"∞"} = "κ"/("R"^2*2*pi)`

Example

`"5.470951m/s"="0.22m³/s"/(("0.08m")^2*2*pi)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.

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
Cylinder Radius: 0.08 Meter --> 0.08 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = κ/(R^2*2*pi) --> 0.22/(0.08^2*2*pi)

Evaluating ... ...

V_∞ = 5.4709511687839

STEP 3: Convert Result to Output's Unit

5.4709511687839 Meter per Second --> No Conversion Required

FINAL ANSWER

5.4709511687839 ≈ 5.470951 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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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

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

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

How to obtain location of stagnation points?

The location of stagnation points is 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 Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder?

Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder calculator uses Freestream Velocity = Doublet Strength/(Cylinder Radius^2*2*pi) to calculate the Freestream Velocity, The Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder formula is defined as the freestream velocity in the context of non-lifting flow around a circular cylinder, based on the strength of the doublet. Freestream Velocity is denoted by V_∞ symbol.

How to calculate Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder using this online calculator? To use this online calculator for Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder, enter Doublet Strength (κ) & Cylinder Radius (R) and hit the calculate button. Here is how the Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder calculation can be explained with given input values -> 273.5476 = 0.22/(0.08^2*2*pi).

FAQ

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

The Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder formula is defined as the freestream velocity in the context of non-lifting flow around a circular cylinder, based on the strength of the doublet and is represented as V_∞ = κ/(R^2*2*pi) or Freestream Velocity = Doublet Strength/(Cylinder Radius^2*2*pi). Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength & The Cylinder Radius is the radius of its circular cross section.

How to calculate Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder?

The Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder formula is defined as the freestream velocity in the context of non-lifting flow around a circular cylinder, based on the strength of the doublet is calculated using Freestream Velocity = Doublet Strength/(Cylinder Radius^2*2*pi). To calculate Freestream Velocity given Doublet Strength for Non-Lifting Flow over Circular Cylinder, you need Doublet Strength (κ) & Cylinder Radius (R). With our tool, you need to enter the respective value for Doublet Strength & Cylinder 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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