Doublet Strength for 3D Incompressible Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle)
μ = -(4*pi*ϕ*r^2)/cos(θ)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Doublet Strength - (Measured in Cubic Meter per Second) - Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.
Velocity Potential - (Measured in Square Meter per Second) - Velocity Potential 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.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.
STEP 1: Convert Input(s) to Base Unit
Velocity Potential: -75 Square Meter per Second --> -75 Square Meter per Second No Conversion Required
Radial Coordinate: 2.758 Meter --> 2.758 Meter No Conversion Required
Polar Angle: 0.7 Radian --> 0.7 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = -(4*pi*ϕ*r^2)/cos(θ) --> -(4*pi*(-75)*2.758^2)/cos(0.7)
Evaluating ... ...
μ = 9373.19854163799
STEP 3: Convert Result to Output's Unit
9373.19854163799 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
9373.19854163799 9373.199 Cubic Meter per Second <-- Doublet Strength
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
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

Doublet Strength for 3D Incompressible Flow Formula

Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle)
μ = -(4*pi*ϕ*r^2)/cos(θ)

What is doublet flow?

Doublet flow is a special, degenerate case of a source-sink pair that leads to a singularity. It is frequently used in incompressible flow. When the distance between source-sink pair tends to zero that is when the source-sink falls on top of each other, they do not extinguish each other because the absolute magnitude of their strength becomes infinitely large in the limit.

How to Calculate Doublet Strength for 3D Incompressible Flow?

Doublet Strength for 3D Incompressible Flow calculator uses Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle) to calculate the Doublet Strength, The Doublet strength for 3D incompressible flow formula calculates the strength of the doublet for a three-dimensional incompressible doublet flow by using the velocity potential of the flow. Doublet Strength is denoted by μ symbol.

How to calculate Doublet Strength for 3D Incompressible Flow using this online calculator? To use this online calculator for Doublet Strength for 3D Incompressible Flow, enter Velocity Potential (ϕ), Radial Coordinate (r) & Polar Angle (θ) and hit the calculate button. Here is how the Doublet Strength for 3D Incompressible Flow calculation can be explained with given input values -> 999.8078 = -(4*pi*(-75)*2.758^2)/cos(0.7).

FAQ

What is Doublet Strength for 3D Incompressible Flow?
The Doublet strength for 3D incompressible flow formula calculates the strength of the doublet for a three-dimensional incompressible doublet flow by using the velocity potential of the flow and is represented as μ = -(4*pi*ϕ*r^2)/cos(θ) or Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle). Velocity Potential 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 & Polar Angle is the angular position of a point from a reference direction.
How to calculate Doublet Strength for 3D Incompressible Flow?
The Doublet strength for 3D incompressible flow formula calculates the strength of the doublet for a three-dimensional incompressible doublet flow by using the velocity potential of the flow is calculated using Doublet Strength = -(4*pi*Velocity Potential*Radial Coordinate^2)/cos(Polar Angle). To calculate Doublet Strength for 3D Incompressible Flow, you need Velocity Potential (ϕ), Radial Coordinate (r) & Polar Angle (θ). With our tool, you need to enter the respective value for Velocity Potential, Radial Coordinate & Polar Angle 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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