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Velocity Potential for 2-D Doublet Flow Formula

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Velocity Potential is a scalar function whose gradient gives velocity. Check FAQs

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

ϕ - Velocity Potential?κ - Doublet Strength?r - Radial Coordinate?θ - Polar Angle?π - Archimedes' constant?

Velocity Potential for 2-D Doublet Flow Example

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

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

Here is how the Velocity Potential for 2-D Doublet Flow equation looks like.

45.9863 = \frac{3400}{2 \cdot 3.1416 \cdot 9} \cdot \cos (0.7)

45.9863m²/s = \frac{3400m³/s}{2 \cdot 3.1416 \cdot 9m} \cdot \cos (0.7rad)

45.9863 = \frac{3400}{2 \cdot 3.1416 \cdot 9} \cdot \cos (0.7)

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Velocity Potential for 2-D Doublet Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

ϕ = \frac{3400}{2 \cdot 3.1416 \cdot 9} \cdot \cos (0.7)

Next Step Evaluate

∴

ϕ = 45.9862900323609m²/s

LAST Step Rounding Answer

∴

ϕ = 45.9863m²/s

Velocity Potential for 2-D Doublet Flow Formula Elements

Variables

Constants

Functions

Velocity Potential

Velocity Potential is a scalar function whose gradient gives velocity.

Symbol: ϕ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Velocity Potential

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

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

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Doublet Flow category

Go Stream Function for 2-D Doublet Flow

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

How to Evaluate Velocity Potential for 2-D Doublet Flow?

Velocity Potential for 2-D Doublet Flow evaluator uses Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle) to evaluate the Velocity Potential, The Velocity Potential for 2-D Doublet Flow formula represents the velocity potential for a 2-D doublet flow, it indicates that, it is inversely proportional to the distance from the doublet and varies with the angle. Velocity Potential is denoted by ϕ symbol.

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

FAQs on Velocity Potential for 2-D Doublet Flow

What is the formula to find Velocity Potential for 2-D Doublet Flow?

The formula of Velocity Potential for 2-D Doublet Flow is expressed as Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle). Here is an example- 45.98629 = 3400/(2*pi*9)*cos(0.7).

How to calculate Velocity Potential for 2-D Doublet Flow?

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

Can the Velocity Potential for 2-D Doublet Flow be negative?

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

Which unit is used to measure Velocity Potential for 2-D Doublet Flow?

Velocity Potential 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 Velocity Potential for 2-D Doublet Flow can be measured.

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Velocity Potential for 2-D Doublet Flow Formula

Velocity Potential for 2-D Doublet Flow Example

Velocity Potential for 2-D Doublet Flow Solution

Velocity Potential for 2-D Doublet Flow Formula Elements

Other formulas in Doublet Flow category

How to Evaluate Velocity Potential for 2-D Doublet Flow?

FAQs on Velocity Potential for 2-D Doublet Flow

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