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Stream Function for Non-Lifting Flow over Circular Cylinder Formula

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Stream Function is a mathematical function used in fluid dynamics to describe the flow patterns within a fluid. Check FAQs

ψ = V ∞ \cdot r \cdot \sin (θ) \cdot (1 - {(\frac{R}{r})}^{2})

ψ - Stream Function?V_∞ - Freestream Velocity?r - Radial Coordinate?θ - Polar Angle?R - Cylinder Radius?

Stream Function for Non-Lifting Flow over Circular Cylinder Example

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Here is how the Stream Function for Non-Lifting Flow over Circular Cylinder equation looks like with Values.

Here is how the Stream Function for Non-Lifting Flow over Circular Cylinder equation looks like with Units.

Here is how the Stream Function for Non-Lifting Flow over Circular Cylinder equation looks like.

1.3312 = 6.9 \cdot 0.27 \cdot \sin (0.9) \cdot (1 - {(\frac{0.08}{0.27})}^{2})

1.3312m²/s = 6.9m/s \cdot 0.27m \cdot \sin (0.9rad) \cdot (1 - {(\frac{0.08m}{0.27m})}^{2})

1.3312 = 6.9 \cdot 0.27 \cdot \sin (0.9) \cdot (1 - {(\frac{0.08}{0.27})}^{2})

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Stream Function for Non-Lifting Flow over Circular Cylinder Solution

Follow our step by step solution on how to calculate Stream Function for Non-Lifting Flow over Circular Cylinder?

FIRST Step Consider the formula

ψ = V ∞ \cdot r \cdot \sin (θ) \cdot (1 - {(\frac{R}{r})}^{2})

Next Step Substitute values of Variables

∴

ψ = 6.9m/s \cdot 0.27m \cdot \sin (0.9rad) \cdot (1 - {(\frac{0.08m}{0.27m})}^{2})

Next Step Prepare to Evaluate

∴

ψ = 6.9 \cdot 0.27 \cdot \sin (0.9) \cdot (1 - {(\frac{0.08}{0.27})}^{2})

Next Step Evaluate

∴

ψ = 1.33122056475026m²/s

LAST Step Rounding Answer

∴

ψ = 1.3312m²/s

Stream Function for Non-Lifting Flow over Circular Cylinder Formula Elements

Variables

Functions

Stream Function

Stream Function is a mathematical function used in fluid dynamics to describe the flow patterns within a fluid.

Symbol: ψ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Stream Function

Freestream Velocity

The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Radial Coordinate

Radial Coordinate represents the distance measured from a central point or axis.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Coordinate

Polar Angle

Polar Angle is the angular position of a point from a reference direction.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Polar Angle

Cylinder Radius

The Cylinder Radius is the radius of its circular cross section.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cylinder Radius

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Nonlifting Flow over Cylinder category

Go Tangential Velocity for Non-Lifting Flow over Circular Cylinder

V θ = - (1 + {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \sin (θ)

Go Radial Velocity for Non-Lifting Flow over Circular Cylinder

V r = (1 - {(\frac{R}{r})}^{2}) \cdot V ∞ \cdot \cos (θ)

Go Radius of Cylinder for Non-Lifting Flow

R = \sqrt{\frac{κ}{2 \cdot π \cdot V ∞}}

Go Surface Pressure Coefficient for Non-Lifting Flow over Circular Cylinder

C p = 1 - 4 \cdot {(\sin (θ))}^{2}

How to Evaluate Stream Function for Non-Lifting Flow over Circular Cylinder?

Stream Function for Non-Lifting Flow over Circular Cylinder evaluator uses Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2) to evaluate the Stream Function, The Stream function for non-lifting flow over circular cylinder formula is obtained as the function of radial velocity, the radial distance from the origin, polar angle and freestream velocity. Stream Function is denoted by ψ symbol.

How to evaluate Stream Function for Non-Lifting Flow over Circular Cylinder using this online evaluator? To use this online evaluator for Stream Function for Non-Lifting Flow over Circular Cylinder, enter Freestream Velocity (V_∞), Radial Coordinate (r), Polar Angle (θ) & Cylinder Radius (R) and hit the calculate button.

FAQs on Stream Function for Non-Lifting Flow over Circular Cylinder

What is the formula to find Stream Function for Non-Lifting Flow over Circular Cylinder?

The formula of Stream Function for Non-Lifting Flow over Circular Cylinder is expressed as Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2). Here is an example- 1.331221 = 6.9*0.27*sin(0.9)*(1-(0.08/0.27)^2).

How to calculate Stream Function for Non-Lifting Flow over Circular Cylinder?

With Freestream Velocity (V_∞), Radial Coordinate (r), Polar Angle (θ) & Cylinder Radius (R) we can find Stream Function for Non-Lifting Flow over Circular Cylinder using the formula - Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2). This formula also uses Sine (sin) function(s).

Can the Stream Function for Non-Lifting Flow over Circular Cylinder be negative?

Yes, the Stream Function for Non-Lifting Flow over Circular Cylinder, measured in Velocity Potential can be negative.

Which unit is used to measure Stream Function for Non-Lifting Flow over Circular Cylinder?

Stream Function for Non-Lifting Flow over Circular Cylinder is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Stream Function for Non-Lifting Flow over Circular Cylinder can be measured.

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Stream Function for Non-Lifting Flow over Circular Cylinder Formula

Stream Function for Non-Lifting Flow over Circular Cylinder Example

Stream Function for Non-Lifting Flow over Circular Cylinder Solution

Stream Function for Non-Lifting Flow over Circular Cylinder Formula Elements

Other formulas in Nonlifting Flow over Cylinder category

How to Evaluate Stream Function for Non-Lifting Flow over Circular Cylinder?

FAQs on Stream Function for Non-Lifting Flow over Circular Cylinder

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