Tangential Velocity 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

✖The Cylinder Radius is the radius of its circular cross section.ⓘ Cylinder Radius [R]			+10% -10%
✖Radial Coordinate represents the distance measured from a central point or axis.ⓘ Radial Coordinate [r]			+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%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+10% -10%

✖Tangential Velocity refers to the speed at which an object moves along a tangent to the curve's direction.ⓘ Tangential Velocity for Non-Lifting Flow over Circular Cylinder [V_θ]

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Formula

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Tangential Velocity for Non-Lifting Flow over Circular Cylinder

Formula

`"V"_{"θ"} = -(1+(("R")/("r"))^2)*"V"_{"∞"}*sin("θ")`

Example

`"-5.879465m/s"=-(1+(("0.08m")/("0.27m"))^2)*"6.9m/s"*sin("0.9rad")`

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Tangential Velocity for Non-Lifting Flow over Circular Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)
V_θ = -(1+((R)/(r))^2)*V_∞*sin(θ)
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity refers to the speed at which an object moves along a tangent to the curve's direction.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Radial Coordinate - (Measured in Meter) - Radial Coordinate represents the distance measured from a central point or axis.
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.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.

STEP 1: Convert Input(s) to Base Unit

Cylinder Radius: 0.08 Meter --> 0.08 Meter No Conversion Required
Radial Coordinate: 0.27 Meter --> 0.27 Meter No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required
Polar Angle: 0.9 Radian --> 0.9 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_θ = -(1+((R)/(r))^2)*V_∞*sin(θ) --> -(1+((0.08)/(0.27))^2)*6.9*sin(0.9)

Evaluating ... ...

V_θ = -5.87946481674719

STEP 3: Convert Result to Output's Unit

-5.87946481674719 Meter per Second --> No Conversion Required

FINAL ANSWER

-5.87946481674719 ≈ -5.879465 Meter per Second <-- Tangential Velocity

(Calculation completed in 00.020 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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

Tangential Velocity for Non-Lifting Flow over Circular Cylinder Formula

Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)
V_θ = -(1+((R)/(r))^2)*V_∞*sin(θ)

How to obtain non-lifting flow over circular cylinder?

The non-lifting flow over a circular cylinder is obtained by the superimposition of uniform flow and doublet flow. The pressure distribution is symmetrical about the horizontal and vertical axis for non-lifting flow.

How to Calculate Tangential Velocity for Non-Lifting Flow over Circular Cylinder?

Tangential Velocity for Non-Lifting Flow over Circular Cylinder calculator uses Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle) to calculate the Tangential Velocity, Tangential velocity for non-lifting flow over circular cylinder formula is a function of radial coordinate, freestream velocity, the radius of the cylinder and polar angle. Tangential Velocity is denoted by V_θ symbol.

How to calculate Tangential Velocity for Non-Lifting Flow over Circular Cylinder using this online calculator? To use this online calculator for Tangential Velocity for Non-Lifting Flow over Circular Cylinder, enter Cylinder Radius (R), Radial Coordinate (r), Freestream Velocity (V_∞) & Polar Angle (θ) and hit the calculate button. Here is how the Tangential Velocity for Non-Lifting Flow over Circular Cylinder calculation can be explained with given input values -> -5.879465 = -(1+((0.08)/(0.27))^2)*6.9*sin(0.9).

FAQ

What is Tangential Velocity for Non-Lifting Flow over Circular Cylinder?

Tangential velocity for non-lifting flow over circular cylinder formula is a function of radial coordinate, freestream velocity, the radius of the cylinder and polar angle and is represented as V_θ = -(1+((R)/(r))^2)*V_∞*sin(θ) or Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle). The Cylinder Radius is the radius of its circular cross section, Radial Coordinate represents the distance measured from a central point or axis, The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles & Polar Angle is the angular position of a point from a reference direction.

How to calculate Tangential Velocity for Non-Lifting Flow over Circular Cylinder?

Tangential velocity for non-lifting flow over circular cylinder formula is a function of radial coordinate, freestream velocity, the radius of the cylinder and polar angle is calculated using Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle). To calculate Tangential Velocity for Non-Lifting Flow over Circular Cylinder, you need Cylinder Radius (R), Radial Coordinate (r), Freestream Velocity (V_∞) & Polar Angle (θ). With our tool, you need to enter the respective value for Cylinder Radius, Radial Coordinate, Freestream Velocity & Polar Angle 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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