Radial Velocity for Lifting Flow over Circular Cylinder Calculator

⤿

Two-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

⤿

Flow and Lift Distribution

Elementary Flows

Flow over Airfoils and Wings

Lift Distribution

⤿

Flow over Cylinder

Kutta-Joukowski Lift Theorem

⤿

Lifting Flow over Cylinder

Nonlifting 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%

✖Radial Velocity represents the speed of an object's motion along the radial direction.ⓘ Radial Velocity for Lifting Flow over Circular Cylinder [V_r]

⎘ Copy

👎

Formula

✖

Radial Velocity for Lifting Flow over Circular Cylinder

Formula

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

Example

`"3.912562m/s"=(1-("0.08m"/"0.27m")^2)*"6.9m/s"*cos("0.9rad")`

Calculator

LaTeX

Reset

👍

Download Lifting Flow over Cylinder Formulas PDF PDF Image

Radial Velocity for Lifting Flow over Circular Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Radial Velocity - (Measured in Meter per Second) - Radial Velocity represents the speed of an object's motion along the radial 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_r = (1-(R/r)^2)*V_∞*cos(θ) --> (1-(0.08/0.27)^2)*6.9*cos(0.9)

Evaluating ... ...

V_r = 3.91256150810692

STEP 3: Convert Result to Output's Unit

3.91256150810692 Meter per Second --> No Conversion Required

FINAL ANSWER

3.91256150810692 ≈ 3.912562 Meter per Second <-- Radial Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Two-Dimensional Incompressible Flow » Flow and Lift Distribution » Flow over Cylinder » Lifting Flow over Cylinder » Radial Velocity for Lifting Flow over Circular Cylinder

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 10+ Lifting Flow over Cylinder Calculators

Surface Pressure Coefficient for Lifting Flow over Circular Cylinder

Go Surface Pressure Coefficient = 1-((2*sin(Polar Angle))^2+(2*Vortex Strength*sin(Polar Angle))/(pi*Cylinder Radius*Freestream Velocity)+((Vortex Strength)/(2*pi*Cylinder Radius*Freestream Velocity))^2)

Stream Function for Lifting Flow over Circular Cylinder

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

Location of Stagnation Point Outside Cylinder for Lifting Flow

Go Radial Coordinate of Stagnation Point = Stagnation Vortex Strength/(4*pi*Freestream Velocity)+sqrt((Stagnation Vortex Strength/(4*pi*Freestream Velocity))^2-Cylinder Radius^2)

Tangential Velocity for Lifting Flow over Circular Cylinder

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

Angular Position of Stagnation Point for Lifting Flow over Circular Cylinder

Go Polar Angle of Stagnation Point = arsin(-Stagnation Vortex Strength/(4*pi*Stagnation Freestream Velocity*Cylinder Radius))

Angular Position given Radial Velocity for Lifting Flow over Circular Cylinder

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

Radial Velocity for Lifting Flow over Circular Cylinder

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

Freestream Velocity given 2-D Lift Coefficient for Lifting Flow

Go Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient)

Radius of Cylinder for Lifting Flow

Go Cylinder Radius = Vortex Strength/(Lift Coefficient*Freestream Velocity)

2-D Lift Coefficient for Cylinder

Go Lift Coefficient = Vortex Strength/(Cylinder Radius*Freestream Velocity)

Radial Velocity for Lifting Flow over Circular Cylinder Formula

Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)
V_r = (1-(R/r)^2)*V_∞*cos(θ)

How to obtain velocity components for lifting flow over a cylinder?

The velocity components for lifting flow over a cylinder is obtained either by differentiating stream function or directly adding the velocity field of non-lifting flow over the cylinder and vortex flow

How to Calculate Radial Velocity for Lifting Flow over Circular Cylinder?

Radial Velocity for Lifting Flow over Circular Cylinder calculator uses Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle) to calculate the Radial Velocity, The Radial velocity for lifting flow over circular cylinder formula is defined as the function of vortex strength, radial distance, polar angle and radius of the cylinder. Radial Velocity is denoted by V_r symbol.

How to calculate Radial Velocity for Lifting Flow over Circular Cylinder using this online calculator? To use this online calculator for Radial Velocity for 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 Radial Velocity for Lifting Flow over Circular Cylinder calculation can be explained with given input values -> 5.582958 = (1-(0.08/0.27)^2)*6.9*cos(0.9).

FAQ

What is Radial Velocity for Lifting Flow over Circular Cylinder?

The Radial velocity for lifting flow over circular cylinder formula is defined as the function of vortex strength, radial distance, polar angle and radius of the cylinder and is represented as V_r = (1-(R/r)^2)*V_∞*cos(θ) or Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(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 Radial Velocity for Lifting Flow over Circular Cylinder?

The Radial velocity for lifting flow over circular cylinder formula is defined as the function of vortex strength, radial distance, polar angle and radius of the cylinder is calculated using Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle). To calculate Radial Velocity for 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.

Home

FREE PDFs

🔍 Search