Location of stagnation points for a rotating cylinder in a uniform flow field Calculator

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✖Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.ⓘ Circulation [Γ]			+10% -10%
✖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.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖The Cylinder Radius is the radius of its base.ⓘ Cylinder Radius [R]			+10% -10%

✖The Angle at stagnation point gives the location of the stagnation points on the surface of the cylinder.ⓘ Location of stagnation points for a rotating cylinder in a uniform flow field [θ]

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

Location of stagnation points for a rotating cylinder in a uniform flow field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius))
θ = -asin(Γ/(4*pi*V_∞*R))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Trigonometric sine function, sin(Angle)
asin - Inverse trigonometric sine function, asin(Number)

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)
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)
Cylinder Radius - The Cylinder Radius is the radius of its base. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Circulation: 10 Meter² per Second --> 10 Meter² per Second No Conversion Required
Freestream Velocity: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Cylinder Radius: 0.025 Meter --> 0.025 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = -asin(Γ/(4*pi*V_∞*R)) --> -asin(10/(4*pi*100*0.025))

Evaluating ... ...

θ = -0.323946106931981

STEP 3: Convert Result to Output's Unit

-0.323946106931981 Radian --> No Conversion Required

FINAL ANSWER

-0.323946106931981 Radian <-- Angle at stagnation point

(Calculation completed in 00.016 seconds)

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< 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

Location of stagnation points for a rotating cylinder in a uniform flow field Formula

Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius))
θ = -asin(Γ/(4*pi*V_∞*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 Location of stagnation points for a rotating cylinder in a uniform flow field?

Location of stagnation points for a rotating cylinder in a uniform flow field calculator uses Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)) to calculate the Angle at stagnation point, The Location of stagnation points for a rotating cylinder in a uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder. Angle at stagnation point is denoted by θ symbol.

How to calculate Location of stagnation points for a rotating cylinder in a uniform flow field using this online calculator? To use this online calculator for Location of stagnation points for a rotating cylinder in a uniform flow field, enter Circulation (Γ), Freestream Velocity (V_∞) & Cylinder Radius (R) and hit the calculate button. Here is how the Location of stagnation points for a rotating cylinder in a uniform flow field calculation can be explained with given input values -> -0.323946 = -asin(10/(4*pi*100*0.025)).

FAQ

What is Location of stagnation points for a rotating cylinder in a uniform flow field?

The Location of stagnation points for a rotating cylinder in a uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder and is represented as θ = -asin(Γ/(4*pi*V_∞*R)) or Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)). Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid, 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 & The Cylinder Radius is the radius of its base.

How to calculate Location of stagnation points for a rotating cylinder in a uniform flow field?

The Location of stagnation points for a rotating cylinder in a uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder is calculated using Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)). To calculate Location of stagnation points for a rotating cylinder in a uniform flow field, you need Circulation (Γ), Freestream Velocity (V_∞) & Cylinder Radius (R). With our tool, you need to enter the respective value for Circulation, Freestream Velocity & Cylinder Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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