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

STEP 0: Pre-Calculation Summary
Formula Used
Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate
Λ = -4*pi*ϕs*r
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.
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.
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 Velocity Potential: -8 Square Meter per Second --> -8 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
Λ = -4*pi*ϕs*r --> -4*pi*(-8)*2.758
Evaluating ... ...
Λ = 277.264401235221
STEP 3: Convert Result to Output's Unit
277.264401235221 Square Meter per Second --> No Conversion Required
FINAL ANSWER
277.264401235221 277.2644 Square Meter per Second <-- Source Strength
(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

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

Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate
Λ = -4*pi*ϕs*r

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 Source Strength for 3D Incompressible Source Flow given Velocity Potential?

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

How to calculate Source Strength for 3D Incompressible Source Flow given Velocity Potential using this online calculator? To use this online calculator for Source Strength for 3D Incompressible Source Flow given Velocity Potential, enter Source Velocity Potential s) & Radial Coordinate (r) and hit the calculate button. Here is how the Source Strength for 3D Incompressible Source Flow given Velocity Potential calculation can be explained with given input values -> 2599.354 = -4*pi*(-8)*2.758.

FAQ

What is Source Strength for 3D Incompressible Source Flow given Velocity Potential?
The Source strength for 3D incompressible source flow given velocity potential formula calculates the strength of the source when the velocity potential for a 3D incompressible source flow is given and is represented as Λ = -4*pi*ϕs*r or Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate. Source Velocity Potential is the potential of a source, which is a scalar function whose gradient gives velocity & 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 Velocity Potential?
The Source strength for 3D incompressible source flow given velocity potential formula calculates the strength of the source when the velocity potential for a 3D incompressible source flow is given is calculated using Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate. To calculate Source Strength for 3D Incompressible Source Flow given Velocity Potential, you need Source Velocity Potential s) & Radial Coordinate (r). With our tool, you need to enter the respective value for Source Velocity Potential & 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 Source Velocity Potential & Radial Coordinate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Source Strength = 4*pi*Radial Velocity*Radial Coordinate^2
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