## Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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## Radius of cylinder for lift coefficient in a rotating cylinder with circulation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity)
R = Γ/(CL*V)
This formula uses 3 Variables
Variables Used
Circulation - Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid. (Measured in Meter² per Second)
Lift Coefficient- The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Freestream Velocity - The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Circulation: 10 Meter² per Second --> 10 Meter² per Second No Conversion Required
Lift Coefficient: 5 --> No Conversion Required
Freestream Velocity: 100 Meter per Second --> 100 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Γ/(CL*V) --> 10/(5*100)
Evaluating ... ...
R = 0.02
STEP 3: Convert Result to Output's Unit
0.02 Meter --> No Conversion Required
(Calculation completed in 00.000 seconds)

## < 10+ Forces on sub-merged bodies Calculators

Location of stagnation points for a rotating cylinder in a uniform flow field
Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)) Go
Skin friction drag from total drag force on a sphere
Skin friction drag force = 2*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Area of the body for lift force in body moving on fluid
Reference Area = Lift force/(Lift Coefficient*0.5*Density of Fluid*(Velocity^2)) Go
Pressure drag from total drag force on a sphere
Pressure drag force = pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Length of the cylinder for lift force on a cylinder
Length of Cylinder = Lift force/(Density*Circulation*Freestream Velocity) Go
Drag force for a body moving in a fluid of certain density
Drag Force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2 Go
Lift force on a cylinder for circulation
Lift force = Density*Length of Cylinder*Circulation*Freestream Velocity Go
Total drag force on a sphere
Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Lift force for a body moving in a fluid of certain density
Lift Force = Lift Coefficient*Reference Area*Density*(Velocity^2)/2 Go
Radius of cylinder for lift coefficient in a rotating cylinder with circulation
Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity) Go

### Radius of cylinder for lift coefficient in a rotating cylinder with circulation Formula

Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity)
R = Γ/(CL*V)

## What is circulation flow?

In physics, circulation is the line integral of a vector field around a closed curve. In fluid dynamics, the field is the fluid velocity field. In electrodynamics, it can be the electric or the magnetic field.

## What is lift coefficient?

The lift coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity, and an associated reference area.

## How to Calculate Radius of cylinder for lift coefficient in a rotating cylinder with circulation?

Radius of cylinder for lift coefficient in a rotating cylinder with circulation calculator uses Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity) to calculate the Cylinder Radius, The Radius of cylinder for lift coefficient in a rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity. Cylinder Radius is denoted by R symbol.

How to calculate Radius of cylinder for lift coefficient in a rotating cylinder with circulation using this online calculator? To use this online calculator for Radius of cylinder for lift coefficient in a rotating cylinder with circulation, enter Circulation (Γ), Lift Coefficient (CL) & Freestream Velocity (V) and hit the calculate button. Here is how the Radius of cylinder for lift coefficient in a rotating cylinder with circulation calculation can be explained with given input values -> 2 = 10/(5*100).

### FAQ

What is Radius of cylinder for lift coefficient in a rotating cylinder with circulation?
The Radius of cylinder for lift coefficient in a rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity and is represented as R = Γ/(CL*V) or Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity). Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid, The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area & The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
How to calculate Radius of cylinder for lift coefficient in a rotating cylinder with circulation?
The Radius of cylinder for lift coefficient in a rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity is calculated using Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity). To calculate Radius of cylinder for lift coefficient in a rotating cylinder with circulation, you need Circulation (Γ), Lift Coefficient (CL) & Freestream Velocity (V). With our tool, you need to enter the respective value for Circulation, Lift Coefficient & Freestream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Cylinder Radius?
In this formula, Cylinder Radius uses Circulation, Lift Coefficient & Freestream Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Cylinder Radius = -(Circulation/(4*pi*Freestream Velocity*(sin(Angle at stagnation point))))
• Cylinder Radius = Circulation/(4*pi*Freestream Velocity)
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