Velocity Potential for 2-D Doublet Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle)
ϕ = κ/(2*pi*r)*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
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 distance between a source-sink pair and source or sink strength.
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
Doublet Strength: 3400 Cubic Meter per Second --> 3400 Cubic Meter per Second No Conversion Required
Radial Coordinate: 9 Meter --> 9 Meter No Conversion Required
Polar Angle: 0.7 Radian --> 0.7 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ϕ = κ/(2*pi*r)*cos(θ) --> 3400/(2*pi*9)*cos(0.7)
Evaluating ... ...
ϕ = 45.9862900323609
STEP 3: Convert Result to Output's Unit
45.9862900323609 Square Meter per Second --> No Conversion Required
FINAL ANSWER
45.9862900323609 45.98629 Square Meter per Second <-- Velocity Potential
(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 Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ more calculators!

2 Doublet Flow Calculators

Velocity Potential for 2-D Doublet Flow
Go Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle)
Stream Function for 2-D Doublet Flow
Go Stream Function = (Doublet Strength*sin(Polar Angle))/(2*pi*Radial Coordinate)

Velocity Potential for 2-D Doublet Flow Formula

Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle)
ϕ = κ/(2*pi*r)*cos(θ)

What does streamline equation in doublet flow represents?

In the doublet flow, the streamlines are a family of circles. The doublet is associated with the sense of direction-the direction with which the flow moves around the circular streamlines.

How to Calculate Velocity Potential for 2-D Doublet Flow?

Velocity Potential for 2-D Doublet Flow calculator uses Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle) to calculate the Velocity Potential, The Velocity potential for 2-D doublet flow formula is defined as the function of radial distance, polar angle and doublet strength. Velocity Potential is denoted by ϕ symbol.

How to calculate Velocity Potential for 2-D Doublet Flow using this online calculator? To use this online calculator for Velocity Potential for 2-D Doublet Flow, enter Doublet Strength (κ), Radial Coordinate (r) & Polar Angle (θ) and hit the calculate button. Here is how the Velocity Potential for 2-D Doublet Flow calculation can be explained with given input values -> 45.98629 = 3400/(2*pi*9)*cos(0.7).

FAQ

What is Velocity Potential for 2-D Doublet Flow?
The Velocity potential for 2-D doublet flow formula is defined as the function of radial distance, polar angle and doublet strength and is represented as ϕ = κ/(2*pi*r)*cos(θ) or Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle). Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength, 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 Velocity Potential for 2-D Doublet Flow?
The Velocity potential for 2-D doublet flow formula is defined as the function of radial distance, polar angle and doublet strength is calculated using Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle). To calculate Velocity Potential for 2-D Doublet Flow, you need Doublet Strength (κ), Radial Coordinate (r) & Polar Angle (θ). With our tool, you need to enter the respective value for Doublet Strength, 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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