Velocity Potential for 3D Incompressible Source Flow Calculator

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Three-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Two-Dimensional Incompressible Flow

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3D Elementry Flows

Flow over Sphere

✖Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page.ⓘ Source Strength [Λ]			+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 Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity.ⓘ Velocity Potential for 3D Incompressible Source Flow [ϕ_s]

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Formula

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Velocity Potential for 3D Incompressible Source Flow

Formula

`"ϕ"_{"s"} = -"Λ"/(4*pi*"r")`

Example

`"-7.992371m²/s"=-"277m²/s"/(4*pi*"2.758m")`

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Velocity Potential for 3D Incompressible Source Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate)
ϕ_s = -Λ/(4*pi*r)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Source Velocity Potential - (Measured in Square Meter per Second) - Source Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity.
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 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

Source Strength: 277 Square Meter per Second --> 277 Square 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

ϕ_s = -Λ/(4*pi*r) --> -277/(4*pi*2.758)

Evaluating ... ...

ϕ_s = -7.99237114511512

STEP 3: Convert Result to Output's Unit

-7.99237114511512 Square Meter per Second --> No Conversion Required

FINAL ANSWER

-7.99237114511512 ≈ -7.992371 Square Meter per Second <-- Source Velocity Potential

(Calculation completed in 00.004 seconds)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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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

Velocity Potential for 3D Incompressible Source Flow Formula

Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate)
ϕ_s = -Λ/(4*pi*r)

What does the equation of velocity potential for source flow represent?

The equation of velocity potential for source flow represents an equipotential line of the constant radius with its center at the origin of the source.

How to Calculate Velocity Potential for 3D Incompressible Source Flow?

Velocity Potential for 3D Incompressible Source Flow calculator uses Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate) to calculate the Source Velocity Potential, The Velocity Potential for 3D Incompressible Source Flow formula is defined as the function of source strength and radial distance for three-dimensional source flow. Source Velocity Potential is denoted by ϕ_s symbol.

How to calculate Velocity Potential for 3D Incompressible Source Flow using this online calculator? To use this online calculator for Velocity Potential for 3D Incompressible Source Flow, enter Source Strength (Λ) & Radial Coordinate (r) and hit the calculate button. Here is how the Velocity Potential for 3D Incompressible Source Flow calculation can be explained with given input values -> -7.992371 = -277/(4*pi*2.758).

FAQ

What is Velocity Potential for 3D Incompressible Source Flow?

The Velocity Potential for 3D Incompressible Source Flow formula is defined as the function of source strength and radial distance for three-dimensional source flow and is represented as ϕ_s = -Λ/(4*pi*r) or Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate). Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page & 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 Velocity Potential for 3D Incompressible Source Flow?

The Velocity Potential for 3D Incompressible Source Flow formula is defined as the function of source strength and radial distance for three-dimensional source flow is calculated using Source Velocity Potential = -Source Strength/(4*pi*Radial Coordinate). To calculate Velocity Potential for 3D Incompressible Source Flow, you need Source Strength (Λ) & Radial Coordinate (r). With our tool, you need to enter the respective value for Source Strength & Radial Coordinate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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