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*ϕs)
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*ϕs) --> -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)

Credits

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*ϕs)

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 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 -> 0.293906 = -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*ϕs) 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 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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