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Velocity Potential for 2-D Source Flow Formula

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

ϕ = \frac{Λ}{2 \cdot π} \cdot \ln (r)

ϕ - Velocity Potential?Λ - Source Strength?r - Radial Coordinate?π - Archimedes' constant?

Velocity Potential for 2-D Source Flow Example

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

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

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

46.8597 = \frac{134}{2 \cdot 3.1416} \cdot \ln (9)

46.8597m²/s = \frac{134m²/s}{2 \cdot 3.1416} \cdot \ln (9m)

46.8597 = \frac{134}{2 \cdot 3.1416} \cdot \ln (9)

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Velocity Potential for 2-D Source Flow Solution

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

FIRST Step Consider the formula

ϕ = \frac{Λ}{2 \cdot π} \cdot \ln (r)

Next Step Substitute values of Variables

∴

ϕ = \frac{134m²/s}{2 \cdot π} \cdot \ln (9m)

Next Step Substitute values of Constants

∴

ϕ = \frac{134m²/s}{2 \cdot 3.1416} \cdot \ln (9m)

Next Step Prepare to Evaluate

∴

ϕ = \frac{134}{2 \cdot 3.1416} \cdot \ln (9)

Next Step Evaluate

∴

ϕ = 46.859686443852m²/s

LAST Step Rounding Answer

∴

ϕ = 46.8597m²/s

Velocity Potential for 2-D Source 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

Source Strength

Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.

Symbol: Λ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source 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

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Source Flow category

Go Radial Velocity for 2-D Incompressible Source Flow

V r = \frac{Λ}{2 \cdot π \cdot r}

Go Source Strength for 2-D Incompressible Source Flow

Λ = 2 \cdot π \cdot r \cdot V r

Go Stream Function for 2-D Incompressible Source Flow

ψ source = \frac{Λ}{2 \cdot π} \cdot θ

Go Stagnation Streamline Equation for Flow over Semi-Infinite Body

ψ = 0.5 \cdot Λ

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

Velocity Potential for 2-D Source Flow evaluator uses Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate) to evaluate the Velocity Potential, The Velocity Potential for 2-D Source Flow formula states that the function is directly proportional to the natural logarithm of the radial distance from the source point and the strength of the source, this logarithmic relationship reflects the property of potential flow where the velocity decreases logarithmically with increasing distance from the source. Velocity Potential is denoted by ϕ symbol.

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

FAQs on Velocity Potential for 2-D Source Flow

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

The formula of Velocity Potential for 2-D Source Flow is expressed as Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate). Here is an example- 36.36871 = 134/(2*pi)*ln(9).

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

With Source Strength (Λ) & Radial Coordinate (r) we can find Velocity Potential for 2-D Source Flow using the formula - Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

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

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

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

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

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