Velocity Potential for 2-D Doublet Flow Calculator

✖Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [κ]			+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%

✖Velocity Potential is a scalar function whose gradient gives velocity.ⓘ Velocity Potential for 2-D Doublet Flow [ϕ]

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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)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Doublet Flow Calculators

Velocity Potential for 2-D Doublet Flow

LaTeX Go Velocity Potential = Doublet Strength/(2*pi*Radial Coordinate)*cos(Polar Angle)

Stream Function for 2-D Doublet Flow

LaTeX Go Stream Function = (Doublet Strength*sin(Polar Angle))/(2*pi*Radial Coordinate)

Velocity Potential for 2-D Doublet Flow Formula

LaTeX Go

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 represents the velocity potential for a 2-D doublet flow, it indicates that, it is inversely proportional to the distance from the doublet and varies with the angle. 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 represents the velocity potential for a 2-D doublet flow, it indicates that, it is inversely proportional to the distance from the doublet and varies with the angle 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 represents the velocity potential for a 2-D doublet flow, it indicates that, it is inversely proportional to the distance from the doublet and varies with the angle 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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