Radial Velocity for 2-D Incompressible Source Flow Calculator

✖Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.ⓘ 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 2-D Incompressible Source Flow [V_r]

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Radial Velocity for 2-D Incompressible Source Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
V_r = (Λ)/(2*pi*r)
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 measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point.
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: 134 Square Meter per Second --> 134 Square Meter per Second No Conversion Required
Radial Coordinate: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = (Λ)/(2*pi*r) --> (134)/(2*pi*9)

Evaluating ... ...

V_r = 2.36964026381266

STEP 3: Convert Result to Output's Unit

2.36964026381266 Meter per Second --> No Conversion Required

FINAL ANSWER

2.36964026381266 ≈ 2.36964 Meter per Second <-- Radial Velocity

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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PSG College of Technology (PSGCT), Coimbatore

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< Source Flow Calculators

Velocity Potential for 2-D Source Flow

LaTeX Go Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate)

Radial Velocity for 2-D Incompressible Source Flow

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

Stream Function for 2-D Incompressible Source Flow

LaTeX Go Source Stream Function = Source Strength/(2*pi)*Polar Angle

Source Strength for 2-D Incompressible Source Flow

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

Radial Velocity for 2-D Incompressible Source Flow Formula

LaTeX Go

Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
V_r = (Λ)/(2*pi*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 Velocity for 2-D Incompressible Source Flow?

Radial Velocity for 2-D Incompressible Source Flow calculator uses Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate) to calculate the Radial Velocity, The Radial Velocity for 2-D Incompressible Source Flow formula states that the radial velocity at any point in the flow field is directly proportional to the source strength and inversely proportional to the radial distance from the source point, this means that the velocity decreases as you move away from the source, and its magnitude depends on the strength of the source. This formula is derived from potential flow theory, which is a simplified model used to describe the behavior of inviscid, incompressible fluids. Radial Velocity is denoted by V_r symbol.

How to calculate Radial Velocity for 2-D Incompressible Source Flow using this online calculator? To use this online calculator for Radial Velocity for 2-D Incompressible Source Flow, enter Source Strength (Λ) & Radial Coordinate (r) and hit the calculate button. Here is how the Radial Velocity for 2-D Incompressible Source Flow calculation can be explained with given input values -> 1.839124 = (134)/(2*pi*9).

FAQ

What is Radial Velocity for 2-D Incompressible Source Flow?

The Radial Velocity for 2-D Incompressible Source Flow formula states that the radial velocity at any point in the flow field is directly proportional to the source strength and inversely proportional to the radial distance from the source point, this means that the velocity decreases as you move away from the source, and its magnitude depends on the strength of the source. This formula is derived from potential flow theory, which is a simplified model used to describe the behavior of inviscid, incompressible fluids and is represented as V_r = (Λ)/(2*pi*r) or Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate). Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point & 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 2-D Incompressible Source Flow?

The Radial Velocity for 2-D Incompressible Source Flow formula states that the radial velocity at any point in the flow field is directly proportional to the source strength and inversely proportional to the radial distance from the source point, this means that the velocity decreases as you move away from the source, and its magnitude depends on the strength of the source. This formula is derived from potential flow theory, which is a simplified model used to describe the behavior of inviscid, incompressible fluids is calculated using Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate). To calculate Radial Velocity for 2-D 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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