Radial Velocity for 2-D Incompressible Source Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
Vr = (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
Vr = (Λ)/(2*pi*r) --> (134)/(2*pi*9)
Evaluating ... ...
Vr = 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)

Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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7 Source Flow Calculators

Stream Function for Flow over Rankine Oval
Go Rankine Oval Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+(Source Strength/(2*pi))*(Polar Angle from Source-Polar Angle from Sink)
Stream Function for Semi-Infinite Body
Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)+Source Strength/(2*pi)*Polar Angle
Velocity Potential for 2-D Source Flow
Go Velocity Potential = Source Strength/(2*pi)*ln(Radial Coordinate)
Radial Velocity for 2-D Incompressible Source Flow
Go Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
Stream Function for 2-D Incompressible Source Flow
Go Source Stream Function = Source Strength/(2*pi)*Polar Angle
Source Strength for 2-D Incompressible Source Flow
Go Source Strength = 2*pi*Radial Coordinate*Radial Velocity
Stagnation Streamline Equation for Flow over Semi-Infinite Body
Go Stream Function = 0.5*Source Strength

Radial Velocity for 2-D Incompressible Source Flow Formula

Radial Velocity = (Source Strength)/(2*pi*Radial Coordinate)
Vr = (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 is the function of source strength and radial coordinate. Radial Velocity is denoted by Vr 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 is the function of source strength and radial coordinate and is represented as Vr = (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 is the function of source strength and radial coordinate 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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