Radial Coordinate for 3D Source Flow given Velocity Potential 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%
✖Source Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity.ⓘ Source Velocity Potential [ϕ_s]			+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 for 3D Source Flow given Velocity Potential [r]

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Formula

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Radial Coordinate for 3D Source Flow given Velocity Potential

Formula

`"r" = -"Λ"/(4*pi*"ϕ"_{"s"})`

Example

`"2.75537m"=-"277m²/s"/(4*pi*"-8m²/s")`

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Radial Coordinate for 3D Source Flow given Velocity Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Source Strength: 277 Square Meter per Second --> 277 Square Meter per Second No Conversion Required
Source Velocity Potential: -8 Square Meter per Second --> -8 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = -Λ/(4*pi*ϕ_s) --> -277/(4*pi*(-8))

Evaluating ... ...

r = 2.75536995227844

STEP 3: Convert Result to Output's Unit

2.75536995227844 Meter --> No Conversion Required

FINAL ANSWER

2.75536995227844 ≈ 2.75537 Meter <-- Radial Coordinate

(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

Radial Coordinate for 3D Source Flow given Velocity Potential Formula

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

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.

How to Calculate Radial Coordinate for 3D Source Flow given Velocity Potential?

Radial Coordinate for 3D Source Flow given Velocity Potential calculator uses Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential) to calculate the Radial Coordinate, The Radial Coordinate for 3D Source Flow given Velocity Potential formula calculates the radial coordinate for the 3D incompressible source flow at where the velocity potential is given. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate for 3D Source Flow given Velocity Potential using this online calculator? To use this online calculator for Radial Coordinate for 3D Source Flow given Velocity Potential, enter Source Strength (Λ) & Source Velocity Potential (ϕ_s) and hit the calculate button. Here is how the Radial Coordinate for 3D Source Flow given Velocity Potential calculation can be explained with given input values -> 2.75537 = -277/(4*pi*(-8)).

FAQ

What is Radial Coordinate for 3D Source Flow given Velocity Potential?

The Radial Coordinate for 3D Source Flow given Velocity Potential formula calculates the radial coordinate for the 3D incompressible source flow at where the velocity potential is given and is represented as r = -Λ/(4*pi*ϕ_s) or Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential). Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page & Source Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity.

How to calculate Radial Coordinate for 3D Source Flow given Velocity Potential?

The Radial Coordinate for 3D Source Flow given Velocity Potential formula calculates the radial coordinate for the 3D incompressible source flow at where the velocity potential is given is calculated using Radial Coordinate = -Source Strength/(4*pi*Source Velocity Potential). To calculate Radial Coordinate for 3D Source Flow given Velocity Potential, you need Source Strength (Λ) & Source Velocity Potential (ϕ_s). With our tool, you need to enter the respective value for Source Strength & Source Velocity Potential 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 Radial Coordinate?

In this formula, Radial Coordinate uses Source Strength & Source Velocity Potential. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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