Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
V = Γc/(R*C')
This formula uses 4 Variables
Variables Used
Freestream Velocity of Fluid - (Measured in Meter per Second) - Freestream velocity of fluid is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down or compress the fluid.
Circulation Around Cylinder - (Measured in Square Meter per Second) - Circulation around cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.
Radius of Rotating Cylinder - (Measured in Meter) - Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid.
Lift Coefficient for Rotating Cylinder - Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.
STEP 1: Convert Input(s) to Base Unit
Circulation Around Cylinder: 243 Square Meter per Second --> 243 Square Meter per Second No Conversion Required
Radius of Rotating Cylinder: 0.9 Meter --> 0.9 Meter No Conversion Required
Lift Coefficient for Rotating Cylinder: 12.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Γc/(R*C') --> 243/(0.9*12.55)
Evaluating ... ...
V = 21.5139442231076
STEP 3: Convert Result to Output's Unit
21.5139442231076 Meter per Second --> No Conversion Required
FINAL ANSWER
21.5139442231076 21.51394 Meter per Second <-- Freestream Velocity of Fluid
(Calculation completed in 00.004 seconds)

Credits

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PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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9 Fluid Parameters and Characteristics Calculators

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation
Go Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
Freestream velocity for lift coefficient with tangential speed
Go Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
Buoyant force acting on spherical ball
Go Buoyant Force on Spherical Ball in Water = Water Density*Acceleration Due to Gravity*Volume of Small Spherical Ball
Free Stream Velocity given Strouhal Number
Go Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number
Frequency of vortex shedding
Go Frequency of Vortex Shedding = (Freestream Velocity of Fluid*Strouhal Number)/Diameter of Cylinder with Vortex
Strouhal number
Go Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of Fluid
Freestream Velocity for single Stagnation Point
Go Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
Tangential velocity for single stagnation point
Go Tangential Velocity of Cylinder in Fluid = 2*Freestream Velocity of Fluid
Strouhal number for cylinders
Go Strouhal Number = 0.20*(1-(20/Reynolds Number))

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation Formula

Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
V = Γc/(R*C')

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 Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?

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

How to calculate Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation using this online calculator? To use this online calculator for Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation, enter Circulation Around Cylinder c), Radius of Rotating Cylinder (R) & Lift Coefficient for Rotating Cylinder (C') and hit the calculate button. Here is how the Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation calculation can be explained with given input values -> 21.51394 = 243/(0.9*12.55).

FAQ

What is Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?
The Freestream velocity for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the radius of the cylinder and the lift coefficient and is represented as V = Γc/(R*C') or Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder). Circulation around cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder, Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid & Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.
How to calculate Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?
The Freestream velocity for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the radius of the cylinder and the lift coefficient is calculated using Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder). To calculate Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation, you need Circulation Around Cylinder c), Radius of Rotating Cylinder (R) & Lift Coefficient for Rotating Cylinder (C'). With our tool, you need to enter the respective value for Circulation Around Cylinder, Radius of Rotating Cylinder & Lift Coefficient for Rotating Cylinder 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 Freestream Velocity of Fluid?
In this formula, Freestream Velocity of Fluid uses Circulation Around Cylinder, Radius of Rotating Cylinder & Lift Coefficient for Rotating Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
  • Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
  • Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number
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