HCF of two numbers

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

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✖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 [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 Velocity Potential [Λ]

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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*ϕ_s*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*ϕ_s*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)

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Radial Coordinate for 3D Source Flow given Radial Velocity

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

Velocity Potential for 3D Incompressible Source Flow

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

Radial Velocity for 3D Incompressible Source Flow

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

Source Strength for 3D Incompressible Source Flow given Radial Velocity

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

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

LaTeX Go

Source Strength = -4*pi*Source Velocity Potential*Radial Coordinate
Λ = -4*pi*ϕ_s*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 (ϕ_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 -> 277.2644 = -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*ϕ_s*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 (ϕ_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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