Circulation for Lift Force on Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid)
Γc = FL/(ρ*I*V)
This formula uses 5 Variables
Variables Used
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.
Lift Force on Rotating Cylinder - (Measured in Newton) - Lift force on rotating cylinder is the sum of all the forces on a rotating cylinder in the fluid flow that force it to move perpendicular to the direction of flow.
Density of Fluid Circulating - (Measured in Kilogram per Cubic Meter) - Density of fluid circulating is the density of the fluid that is circulating or say flowing around a body.
Length of Cylinder in Fluid Flow - (Measured in Meter) - Length of cylinder in fluid flow is the vertical height of the cylinder rotating inside the flowing fluid.
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.
STEP 1: Convert Input(s) to Base Unit
Lift Force on Rotating Cylinder: 54000 Newton --> 54000 Newton No Conversion Required
Density of Fluid Circulating: 1.21 Kilogram per Cubic Meter --> 1.21 Kilogram per Cubic Meter No Conversion Required
Length of Cylinder in Fluid Flow: 8.5 Meter --> 8.5 Meter No Conversion Required
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Γc = FL/(ρ*I*V) --> 54000/(1.21*8.5*21.5)
Evaluating ... ...
Γc = 244.203005053646
STEP 3: Convert Result to Output's Unit
244.203005053646 Square Meter per Second --> No Conversion Required
FINAL ANSWER
244.203005053646 244.203 Square Meter per Second <-- Circulation Around Cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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7 Cylinder Properties Calculators

Location of Stagnation points for Rotating Cylinder in Uniform Flow Field
Go Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi
Radius of Cylinder for location of Stagnation Points
Go Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point))))
Length of Cylinder for Lift Force on Cylinder
Go Length of Cylinder in Fluid Flow = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Circulation Around Cylinder*Freestream Velocity of Fluid)
Circulation for Lift Force on Cylinder
Go Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid)
Diameter of Cylinder given Strouhal Number
Go Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding
Circulation for rotating cylinders
Go Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid)
Radius of Cylinder for Single Stagnation Point
Go Radius of Rotating Cylinder = Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid)

Circulation for Lift Force on Cylinder Formula

Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid)
Γc = FL/(ρ*I*V)

What is lift force?

A fluid flowing around the surface of an object exerts a force on it. Lift is the component of this force that is perpendicular to the oncoming flow direction. It contrasts with the drag force, which is the component of the force parallel to the flow direction.

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.

How to Calculate Circulation for Lift Force on Cylinder?

Circulation for Lift Force on Cylinder calculator uses Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid) to calculate the Circulation Around Cylinder, The Circulation for lift force on cylinder formula is known while considering, the density, length of the cylinder, freestream velocity, and the lift force. Circulation Around Cylinder is denoted by Γc symbol.

How to calculate Circulation for Lift Force on Cylinder using this online calculator? To use this online calculator for Circulation for Lift Force on Cylinder, enter Lift Force on Rotating Cylinder (FL), Density of Fluid Circulating (ρ), Length of Cylinder in Fluid Flow (I) & Freestream Velocity of Fluid (V) and hit the calculate button. Here is how the Circulation for Lift Force on Cylinder calculation can be explained with given input values -> 244.203 = 54000/(1.21*8.5*21.5).

FAQ

What is Circulation for Lift Force on Cylinder?
The Circulation for lift force on cylinder formula is known while considering, the density, length of the cylinder, freestream velocity, and the lift force and is represented as Γc = FL/(ρ*I*V) or Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid). Lift force on rotating cylinder is the sum of all the forces on a rotating cylinder in the fluid flow that force it to move perpendicular to the direction of flow, Density of fluid circulating is the density of the fluid that is circulating or say flowing around a body, Length of cylinder in fluid flow is the vertical height of the cylinder rotating inside the flowing fluid & 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.
How to calculate Circulation for Lift Force on Cylinder?
The Circulation for lift force on cylinder formula is known while considering, the density, length of the cylinder, freestream velocity, and the lift force is calculated using Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid). To calculate Circulation for Lift Force on Cylinder, you need Lift Force on Rotating Cylinder (FL), Density of Fluid Circulating (ρ), Length of Cylinder in Fluid Flow (I) & Freestream Velocity of Fluid (V). With our tool, you need to enter the respective value for Lift Force on Rotating Cylinder, Density of Fluid Circulating, Length of Cylinder in Fluid Flow & Freestream Velocity of Fluid 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 Circulation Around Cylinder?
In this formula, Circulation Around Cylinder uses Lift Force on Rotating Cylinder, Density of Fluid Circulating, Length of Cylinder in Fluid Flow & Freestream Velocity of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid)
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