Source Strength for 3D Incompressible Source Flow given Radial Velocity Calculator

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Fundamentals of Inviscid and Incompressible Flow

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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.ⓘ Radial Velocity [V_r]			+10% -10%
✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate [r]			+10% -10%

✖Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page.ⓘ Source Strength for 3D Incompressible Source Flow given Radial Velocity [Λ]

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Formula

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Source Strength for 3D Incompressible Source Flow given Radial Velocity

Formula

`"Λ" = 4*pi*"V"_{"r"}*"r"^2`

Example

`"277.202m²/s"=4*pi*"2.9m/s"*("2.758m")^2`

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Source Strength for 3D Incompressible Source Flow given Radial Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2
Λ = 4*pi*V_r*r^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Source Strength - (Measured in Square Meter per Second) - Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page.
Radial Velocity - (Measured in Meter per Second) - 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.
Radial Coordinate - (Measured in Meter) - Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

STEP 1: Convert Input(s) to Base Unit

Radial Velocity: 2.9 Meter per Second --> 2.9 Meter per Second No Conversion Required
Radial Coordinate: 2.758 Meter --> 2.758 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ = 4*pi*V_r*r^2 --> 4*pi*2.9*2.758^2

Evaluating ... ...

Λ = 277.202016744943

STEP 3: Convert Result to Output's Unit

277.202016744943 Square Meter per Second --> No Conversion Required

FINAL ANSWER

277.202016744943 ≈ 277.202 Square Meter per Second <-- Source Strength

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Three-Dimensional Incompressible Flow » 3D Elementry Flows » Source Strength for 3D Incompressible Source Flow given Radial Velocity

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< 9 3D Elementry Flows Calculators

Radial Coordinate for 3D Doublet Flow given Velocity Potential

Go Radial Coordinate = sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential)))

Velocity Potential for 3D Incompressible Doublet Flow

Go Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2)

Doublet Strength for 3D Incompressible Flow

Go Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle)

Radial Coordinate for 3D Source Flow given Radial Velocity

Go Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity))

Radial Coordinate for 3D Source Flow given Velocity Potential

Go Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential)

Velocity Potential for 3D Incompressible Source Flow

Go Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate)

Source Strength for 3D Incompressible Source Flow given Velocity Potential

Go Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate

Radial Velocity for 3D Incompressible Source Flow

Go Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2)

Source Strength for 3D Incompressible Source Flow given Radial Velocity

Go Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2

Source Strength for 3D Incompressible Source Flow given Radial Velocity Formula

Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2
Λ = 4*pi*V_r*r^2

What is source flow?

Source flow is a physically possible incompressible flow at every point except the origin, where the divergence of velocity becomes infinite. Source flow is irrotational at every point and streamlines are directed away from the origin.

What is sink flow?

A sink flow is simply a negative source flow. For sink flow, the streamlines are radial lines, along which the flow velocity varies inversely with the distance from the central point and are directed towards the origin.

How to Calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity?

Source Strength for 3D Incompressible Source Flow given Radial Velocity calculator uses Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2 to calculate the Source Strength, The Source Strength for 3D Incompressible Source Flow given Radial Velocity formula calculates the strength of the source when the radial velocity of the 3D incompressible flow is given. Source Strength is denoted by Λ symbol.

How to calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity using this online calculator? To use this online calculator for Source Strength for 3D Incompressible Source Flow given Radial Velocity, enter Radial Velocity (V_r) & Radial Coordinate (r) and hit the calculate button. Here is how the Source Strength for 3D Incompressible Source Flow given Radial Velocity calculation can be explained with given input values -> 277.202 = 4*pi*2.9*2.758^2.

FAQ

What is Source Strength for 3D Incompressible Source Flow given Radial Velocity?

The Source Strength for 3D Incompressible Source Flow given Radial Velocity formula calculates the strength of the source when the radial velocity of the 3D incompressible flow is given and is represented as Λ = 4*pi*V_r*r^2 or Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2. 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 & Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

How to calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity?

The Source Strength for 3D Incompressible Source Flow given Radial Velocity formula calculates the strength of the source when the radial velocity of the 3D incompressible flow is given is calculated using Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2. To calculate Source Strength for 3D Incompressible Source Flow given Radial Velocity, you need Radial Velocity (V_r) & Radial Coordinate (r). With our tool, you need to enter the respective value for Radial Velocity & Radial Coordinate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Source Strength?

In this formula, Source Strength uses Radial Velocity & Radial Coordinate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate

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