Radial Velocity 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%

✖The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.ⓘ Radial Velocity for 3D Incompressible Source Flow [V_r]

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Formula

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Radial Velocity for 3D Incompressible Source Flow

Formula

`"V"_{"r"} = "Λ"/(4*pi*"r"^2)`

Example

`"2.897887m/s"="277m²/s"/(4*pi*("2.758m")^2)`

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Download Three-Dimensional Incompressible Flow Formulas PDF

Radial Velocity for 3D Incompressible Source Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2)
V_r = Λ/(4*pi*r^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radial Velocity - (Measured in Meter per Second) - The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.
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

V_r = Λ/(4*pi*r^2) --> 277/(4*pi*2.758^2)

Evaluating ... ...

V_r = 2.89788656458126

STEP 3: Convert Result to Output's Unit

2.89788656458126 Meter per Second --> No Conversion Required

FINAL ANSWER

2.89788656458126 ≈ 2.897887 Meter per Second <-- Radial Velocity

(Calculation completed in 00.020 seconds)

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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 Velocity for 3D Incompressible Source Flow Formula

Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2)
V_r = Λ/(4*pi*r^2)

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.

What is sink flow?

A sink flow is simply a negative source flow. For sink flow, the streamlines are radial lines, along which the flow velocity varies inversely with the distance from the central point and are directed towards the origin.

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

Radial Velocity for 3D Incompressible Source Flow calculator uses Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2) to calculate the Radial Velocity, The Radial Velocity for 3D Incompressible Source Flow formula calculates the radial velocity which is a function of the source strength and the radial coordinate. Radial Velocity is denoted by V_r symbol.

How to calculate Radial Velocity for 3D Incompressible Source Flow using this online calculator? To use this online calculator for Radial Velocity for 3D Incompressible Source Flow, enter Source Strength (Λ) & Radial Coordinate (r) and hit the calculate button. Here is how the Radial Velocity for 3D Incompressible Source Flow calculation can be explained with given input values -> 2.897887 = 277/(4*pi*2.758^2).

FAQ

What is Radial Velocity for 3D Incompressible Source Flow?

The Radial Velocity for 3D Incompressible Source Flow formula calculates the radial velocity which is a function of the source strength and the radial coordinate and is represented as V_r = Λ/(4*pi*r^2) or Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2). 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 Radial Velocity for 3D Incompressible Source Flow?

The Radial Velocity for 3D Incompressible Source Flow formula calculates the radial velocity which is a function of the source strength and the radial coordinate is calculated using Radial Velocity = Source Strength/(4*pi*Radial Coordinate^2). To calculate Radial Velocity 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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