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Doublet Strength for 3D Incompressible 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

✖Velocity Potential is a scalar function whose gradient gives velocity.ⓘ Velocity Potential [ϕ]			+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%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+10% -10%

✖Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength for 3D Incompressible Flow [μ]

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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: -75.72 Square Meter per Second --> -75.72 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*(-75.72)*2.758^2)/cos(0.7)

Evaluating ... ...

μ = 9463.18124763771

STEP 3: Convert Result to Output's Unit

9463.18124763771 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

9463.18124763771 ≈ 9463.181 Cubic Meter per Second <-- Doublet Strength

(Calculation completed in 00.020 seconds)

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< 3D Elementry Flows Calculators

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

Doublet Strength for 3D Incompressible Flow Formula

LaTeX Go

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 -> 9463.181 = -(4*pi*(-75.72)*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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