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Stream Function for 2-D Doublet Flow Formula

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The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line. Check FAQs

ψ = \frac{κ \cdot \sin (θ)}{2 \cdot π \cdot r}

ψ - Stream Function?κ - Doublet Strength?θ - Polar Angle?r - Radial Coordinate?π - Archimedes' constant?

Stream Function for 2-D Doublet Flow Example

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Here is how the Stream Function for 2-D Doublet Flow equation looks like with Values.

Here is how the Stream Function for 2-D Doublet Flow equation looks like with Units.

Here is how the Stream Function for 2-D Doublet Flow equation looks like.

38.7337 = \frac{3400 \cdot \sin (0.7)}{2 \cdot 3.1416 \cdot 9}

38.7337m²/s = \frac{3400m³/s \cdot \sin (0.7rad)}{2 \cdot 3.1416 \cdot 9m}

38.7337 = \frac{3400 \cdot \sin (0.7)}{2 \cdot 3.1416 \cdot 9}

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Stream Function for 2-D Doublet Flow Solution

Follow our step by step solution on how to calculate Stream Function for 2-D Doublet Flow?

FIRST Step Consider the formula

ψ = \frac{κ \cdot \sin (θ)}{2 \cdot π \cdot r}

Next Step Substitute values of Variables

∴

ψ = \frac{3400m³/s \cdot \sin (0.7rad)}{2 \cdot π \cdot 9m}

Next Step Substitute values of Constants

∴

ψ = \frac{3400m³/s \cdot \sin (0.7rad)}{2 \cdot 3.1416 \cdot 9m}

Next Step Prepare to Evaluate

∴

ψ = \frac{3400 \cdot \sin (0.7)}{2 \cdot 3.1416 \cdot 9}

Next Step Evaluate

∴

ψ = 38.7337177548627m²/s

LAST Step Rounding Answer

∴

ψ = 38.7337m²/s

Stream Function for 2-D Doublet Flow Formula Elements

Variables

Constants

Functions

Stream Function

The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.

Symbol: ψ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Stream Function

Doublet Strength

Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.

Symbol: κ

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Doublet Strength

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

Radial Coordinate

Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Coordinate

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Doublet Flow category

Go Velocity Potential for 2-D Doublet Flow

ϕ = \frac{κ}{2 \cdot π \cdot r} \cdot \cos (θ)

How to Evaluate Stream Function for 2-D Doublet Flow?

Stream Function for 2-D Doublet Flow evaluator uses Stream Function = (Doublet Strength*sin(Polar Angle))/(2*pi*Radial Coordinate) to evaluate the Stream Function, The Stream function for 2-D Doublet flow formula describes the flow field induced by a doublet of strength it produces a flow pattern where fluid is pushed radially outward from the doublet along the x-axis and radially inward towards the doublet along the y-axis. Stream Function is denoted by ψ symbol.

How to evaluate Stream Function for 2-D Doublet Flow using this online evaluator? To use this online evaluator for Stream Function for 2-D Doublet Flow, enter Doublet Strength (κ), Polar Angle (θ) & Radial Coordinate (r) and hit the calculate button.

FAQs on Stream Function for 2-D Doublet Flow

What is the formula to find Stream Function for 2-D Doublet Flow?

The formula of Stream Function for 2-D Doublet Flow is expressed as Stream Function = (Doublet Strength*sin(Polar Angle))/(2*pi*Radial Coordinate). Here is an example- 38.73372 = (3400*sin(0.7))/(2*pi*9).

How to calculate Stream Function for 2-D Doublet Flow?

With Doublet Strength (κ), Polar Angle (θ) & Radial Coordinate (r) we can find Stream Function for 2-D Doublet Flow using the formula - Stream Function = (Doublet Strength*sin(Polar Angle))/(2*pi*Radial Coordinate). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Stream Function for 2-D Doublet Flow be negative?

Yes, the Stream Function for 2-D Doublet Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Stream Function for 2-D Doublet Flow?

Stream Function for 2-D Doublet Flow is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Stream Function for 2-D Doublet Flow can be measured.

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Stream Function for 2-D Doublet Flow Formula

Stream Function for 2-D Doublet Flow Example

Stream Function for 2-D Doublet Flow Solution

Stream Function for 2-D Doublet Flow Formula Elements

Other formulas in Doublet Flow category

How to Evaluate Stream Function for 2-D Doublet Flow?

FAQs on Stream Function for 2-D Doublet Flow

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