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Radial Coordinate for 3D Source Flow given Radial Velocity 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%
✖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 [V_r]			+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 Radial Velocity [r]

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Radial Coordinate for 3D Source Flow given Radial Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.

STEP 1: Convert Input(s) to Base Unit

Source Strength: 277 Square Meter per Second --> 277 Square Meter per Second No Conversion Required
Radial Velocity: 2.9 Meter per Second --> 2.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(Λ/(4*pi*V_r)) --> sqrt(277/(4*pi*2.9))

Evaluating ... ...

r = 2.75699484185399

STEP 3: Convert Result to Output's Unit

2.75699484185399 Meter --> No Conversion Required

FINAL ANSWER

2.75699484185399 ≈ 2.756995 Meter <-- Radial Coordinate

(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

Radial Coordinate for 3D Source Flow given Radial Velocity Formula

LaTeX Go

Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity))
r = sqrt(Λ/(4*pi*V_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.

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 Coordinate for 3D Source Flow given Radial Velocity?

Radial Coordinate for 3D Source Flow given Radial Velocity calculator uses Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)) to calculate the Radial Coordinate, The Radial Coordinate for 3D Source Flow given Radial Velocity formula calculates the radial distance from the origin at which the radial velocity is given for a 3D incompressible source flow. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate for 3D Source Flow given Radial Velocity using this online calculator? To use this online calculator for Radial Coordinate for 3D Source Flow given Radial Velocity, enter Source Strength (Λ) & Radial Velocity (V_r) and hit the calculate button. Here is how the Radial Coordinate for 3D Source Flow given Radial Velocity calculation can be explained with given input values -> 2.756995 = sqrt(277/(4*pi*2.9)).

FAQ

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

The Radial Coordinate for 3D Source Flow given Radial Velocity formula calculates the radial distance from the origin at which the radial velocity is given for a 3D incompressible source flow and is represented as r = sqrt(Λ/(4*pi*V_r)) or Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)). Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page & 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.

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

The Radial Coordinate for 3D Source Flow given Radial Velocity formula calculates the radial distance from the origin at which the radial velocity is given for a 3D incompressible source flow is calculated using Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)). To calculate Radial Coordinate for 3D Source Flow given Radial Velocity, you need Source Strength (Λ) & Radial Velocity (V_r). With our tool, you need to enter the respective value for Source Strength & Radial Velocity 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 & Radial Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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