HCF of three numbers

Velocity Potential for 3D Incompressible Doublet Flow Calculator

Physics Chemistry Engineering Financial More >>

↳

Aerospace Basic Physics Mechanical Others and Extra

⤿

Aerodynamics Aircraft Mechanics Orbital Mechanics Propulsion

⤿

Three Dimensional Incompressible Flow Compressible Flow Fundamentals of Inviscid and Incompressible Flow Two Dimensional Incompressible Flow

⤿

3D Elementry Flows Flow over Sphere

✖Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [μ]			+10% -10%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+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%

✖Velocity Potential is a scalar function whose gradient gives velocity.ⓘ Velocity Potential for 3D Incompressible Doublet Flow [ϕ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Three Dimensional Incompressible Flow Formulas PDF PDF Image

Velocity Potential for 3D Incompressible Doublet Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Velocity Potential - (Measured in Square Meter per Second) - Velocity Potential is a scalar function whose gradient gives velocity.
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.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.
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

Doublet Strength: 9463 Cubic Meter per Second --> 9463 Cubic Meter per Second No Conversion Required
Polar Angle: 0.7 Radian --> 0.7 Radian No Conversion Required
Radial Coordinate: 2.758 Meter --> 2.758 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = -(μ*cos(θ))/(4*pi*r^2) --> -(9463*cos(0.7))/(4*pi*2.758^2)

Evaluating ... ...

ϕ = -75.7185497402228

STEP 3: Convert Result to Output's Unit

-75.7185497402228 Square Meter per Second --> No Conversion Required

FINAL ANSWER

-75.7185497402228 ≈ -75.71855 Square Meter per Second <-- Velocity Potential

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Three Dimensional Incompressible Flow » Aerospace » 3D Elementry Flows » Velocity Potential for 3D Incompressible Doublet Flow

Credits

Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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

Velocity Potential for 3D Incompressible Doublet Flow Formula

LaTeX Go

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

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 Velocity Potential for 3D Incompressible Doublet Flow?

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

How to calculate Velocity Potential for 3D Incompressible Doublet Flow using this online calculator? To use this online calculator for Velocity Potential for 3D Incompressible Doublet Flow, enter Doublet Strength (μ), Polar Angle (θ) & Radial Coordinate (r) and hit the calculate button. Here is how the Velocity Potential for 3D Incompressible Doublet Flow calculation can be explained with given input values -> -75.71855 = -(9463*cos(0.7))/(4*pi*2.758^2).

FAQ

What is Velocity Potential for 3D Incompressible Doublet Flow?

The Velocity Potential for 3D Incompressible Doublet Flow formula calculates the velocity potential which is a function of the strength of the doublet, radial, and polar coordinate for the three-dimensional incompressible doublet flow and is represented as ϕ = -(μ*cos(θ))/(4*pi*r^2) or Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2). Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength, Polar Angle is the angular position of a point from a reference direction & 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 Velocity Potential for 3D Incompressible Doublet Flow?

The Velocity Potential for 3D Incompressible Doublet Flow formula calculates the velocity potential which is a function of the strength of the doublet, radial, and polar coordinate for the three-dimensional incompressible doublet flow is calculated using Velocity Potential = -(Doublet Strength*cos(Polar Angle))/(4*pi*Radial Coordinate^2). To calculate Velocity Potential for 3D Incompressible Doublet Flow, you need Doublet Strength (μ), Polar Angle (θ) & Radial Coordinate (r). With our tool, you need to enter the respective value for Doublet Strength, Polar Angle & Radial Coordinate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search