Freestream Velocity for single Stagnation Point Calculator

✖Circulation around cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.ⓘ Circulation Around Cylinder [Γ_c]			+10% -10%
✖Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid.ⓘ Radius of Rotating Cylinder [R]			+10% -10%

✖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.ⓘ Freestream Velocity for single Stagnation Point [V_∞]

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Formula

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Freestream Velocity for single Stagnation Point

Formula

`"V"_{"∞"} = "Γ"_{"c"}/(4*pi*"R")`

Example

`"21.48592m/s"="243m²/s"/(4*pi*"0.9m")`

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Freestream Velocity for single Stagnation Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
V_∞ = Γ_c/(4*pi*R)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = Γ_c/(4*pi*R) --> 243/(4*pi*0.9)

Evaluating ... ...

V_∞ = 21.4859173174059

STEP 3: Convert Result to Output's Unit

21.4859173174059 Meter per Second --> No Conversion Required

FINAL ANSWER

21.4859173174059 ≈ 21.48592 Meter per Second <-- Freestream Velocity of Fluid

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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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 single Stagnation Point Formula

Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
V_∞ = Γ_c/(4*pi*R)

What is a stagnation point?

In fluid dynamics, a stagnation point is a point in a flow field where the local velocity of the fluid is zero. Stagnation points exist at the surface of objects in the flow field, where the fluid is brought to rest by the object.

What is circulation in fluid mechanics?

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 Freestream Velocity for single Stagnation Point?

Freestream Velocity for single Stagnation Point calculator uses Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder) to calculate the Freestream Velocity of Fluid, The Freestream velocity for single stagnation point formula is known while considering the ratio of circulation to four pi of the radius of cylinder. Freestream Velocity of Fluid is denoted by V_∞ symbol.

How to calculate Freestream Velocity for single Stagnation Point using this online calculator? To use this online calculator for Freestream Velocity for single Stagnation Point, enter Circulation Around Cylinder (Γ_c) & Radius of Rotating Cylinder (R) and hit the calculate button. Here is how the Freestream Velocity for single Stagnation Point calculation can be explained with given input values -> 21.48592 = 243/(4*pi*0.9).

FAQ

What is Freestream Velocity for single Stagnation Point?

The Freestream velocity for single stagnation point formula is known while considering the ratio of circulation to four pi of the radius of cylinder and is represented as V_∞ = Γ_c/(4*pi*R) or Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of 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.

How to calculate Freestream Velocity for single Stagnation Point?

The Freestream velocity for single stagnation point formula is known while considering the ratio of circulation to four pi of the radius of cylinder is calculated using Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder). To calculate Freestream Velocity for single Stagnation Point, you need Circulation Around Cylinder (Γ_c) & Radius of Rotating Cylinder (R). With our tool, you need to enter the respective value for Circulation Around Cylinder & Radius of 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number

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