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Radial Velocity for 2-D Incompressible Source Flow Formula

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The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point. Check FAQs

V r = \frac{Λ}{2 \cdot π \cdot r}

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

Radial Velocity for 2-D Incompressible Source Flow Example

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

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

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

2.3696 = \frac{134}{2 \cdot 3.1416 \cdot 9}

2.3696m/s = \frac{134m²/s}{2 \cdot 3.1416 \cdot 9m}

2.3696 = \frac{134}{2 \cdot 3.1416 \cdot 9}

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Radial Velocity for 2-D Incompressible Source Flow Solution

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

FIRST Step Consider the formula

V r = \frac{Λ}{2 \cdot π \cdot r}

Next Step Substitute values of Variables

∴

V r = \frac{134m²/s}{2 \cdot π \cdot 9m}

Next Step Substitute values of Constants

∴

V r = \frac{134m²/s}{2 \cdot 3.1416 \cdot 9m}

Next Step Prepare to Evaluate

∴

V r = \frac{134}{2 \cdot 3.1416 \cdot 9}

Next Step Evaluate

∴

V r = 2.36964026381266m/s

LAST Step Rounding Answer

∴

V r = 2.3696m/s

Radial Velocity for 2-D Incompressible Source Flow Formula Elements

Variables

Constants

Radial Velocity

The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Radial Velocity

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

Other formulas in Source Flow category

Go Velocity Potential for 2-D Source Flow

ϕ = \frac{Λ}{2 \cdot π} \cdot \ln (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 Radial Velocity for 2-D Incompressible Source Flow?

Radial Velocity for 2-D Incompressible Source Flow evaluator uses Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate) to evaluate the Radial Velocity, The Radial Velocity for 2-D Incompressible Source Flow formula states that the radial velocity at any point in the flow field is directly proportional to the source strength and inversely proportional to the radial distance from the source point, this means that the velocity decreases as you move away from the source, and its magnitude depends on the strength of the source. This formula is derived from potential flow theory, which is a simplified model used to describe the behavior of inviscid, incompressible fluids. Radial Velocity is denoted by V_r symbol.

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

FAQs on Radial Velocity for 2-D Incompressible Source Flow

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

The formula of Radial Velocity for 2-D Incompressible Source Flow is expressed as Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate). Here is an example- 1.839124 = (134)/(2*pi*9).

How to calculate Radial Velocity for 2-D Incompressible Source Flow?

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

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

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

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

Radial Velocity for 2-D Incompressible Source Flow is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Radial Velocity for 2-D Incompressible Source Flow can be measured.

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