Strength of doublet for stream function Calculator

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✖The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.ⓘ Stream Function [ψ]			+10% -10%
✖Length x is simply the distance from the origin to the x coordinate.ⓘ Length X [x]			+10% -10%
✖Length y is the vertical distance from the origin to the y coordinate.ⓘ Length y [y]			+10% -10%

✖The Strength of doublet is considered in the potential flow.ⓘ Strength of doublet for stream function [µ]

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Formula

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Strength of doublet for stream function

Formula

`"µ" = -("ψ"*2*pi*(("x"^2)+("y"^2)))/"y"`

Example

`"-7.864035m²/s"=-("2.8m²/s"*2*pi*((("0.21m")^2)+(("0.3m")^2)))/"0.3m"`

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Strength of doublet for stream function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y
µ = -(ψ*2*pi*((x^2)+(y^2)))/y
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Strength of Doublet - (Measured in Square Meter per Second) - The Strength of doublet is considered in the potential flow.
Stream Function - (Measured in Square Meter per Second) - The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.
Length X - (Measured in Meter) - Length x is simply the distance from the origin to the x coordinate.
Length y - (Measured in Meter) - Length y is the vertical distance from the origin to the y coordinate.

STEP 1: Convert Input(s) to Base Unit

Stream Function: 2.8 Square Meter per Second --> 2.8 Square Meter per Second No Conversion Required
Length X: 0.21 Meter --> 0.21 Meter No Conversion Required
Length y: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

µ = -(ψ*2*pi*((x^2)+(y^2)))/y --> -(2.8*2*pi*((0.21^2)+(0.3^2)))/0.3

Evaluating ... ...

µ = -7.86403473046597

STEP 3: Convert Result to Output's Unit

-7.86403473046597 Square Meter per Second --> No Conversion Required

FINAL ANSWER

-7.86403473046597 ≈ -7.864035 Square Meter per Second <-- Strength of Doublet

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< 23 Incompressible Flow Characteristics Calculators

Uniform flow velocity for stream function at point in combined flow

Go Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A))

Stream Function at Point in Combined Flow

Go Stream Function = (Uniform Flow Velocity*Distance from End A*sin(Angle A))+((Strength of Source/(2*pi))*Angle A)

Location of stagnation point on x-axis

Go Distance of Stagnation Point = Distance from End A*sqrt((1+(Strength of Source/(pi*Distance from End A*Uniform Flow Velocity))))

Temperature Lapse Rate given Gas Constant

Go Temperature Lapse Rate = (-Acceleration Due to Gravity/Universal Gas Constant)*((Specific constant-1)/(Specific constant))

Stream function at point

Go Stream Function = -(Strength of Doublet/(2*pi))*(Length y/((Length X^2)+(Length y^2)))

Strength of doublet for stream function

Go Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y

Uniform flow velocity for Rankine half body

Go Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))

Dimensions of Rankine half-body

Go Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))

Strength of source for Rankine half body

Go Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))

Pressure Head given Density

Go Pressure Head = Pressure above Atmospheric Pressure/(Density of Fluid*Acceleration Due to Gravity)

Radius of Rankine circle

Go Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))

Pressure at point in piezometer given Mass and Volume

Go Pressure = (Mass of water*Acceleration Due to Gravity*Height of Water above Bottom of Wall)

Height of liquid in piezometer

Go Height of Liquid = Water Pressure/(Water Density*Acceleration Due to Gravity)

Distance of stagnation point S from source in flow past half body

Go Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)

Pressure at any point in liquid

Go Pressure = Density*Acceleration Due to Gravity*Pressure Head

Stream function in sink flow for angle

Go Stream Function = (Strength of Source/(2*pi))*(Angle A)

Radius at any point considering radial velocity

Go Radius 1 = Strength of Source/(2*pi*Radial Velocity)

Radial velocity at any radius

Go Radial Velocity = Strength of Source/(2*pi*Radius 1)

Strength of source for radial velocity and at any radius

Go Strength of Source = Radial Velocity*2*pi*Radius 1

Hydrostatic law

Go Weight density = Density of Fluid*Acceleration Due to Gravity

Force on Plunger given Intensity

Go Force Acting on Plunger = Pressure Intensity*Area of plunger

Area of plunger

Go Area of plunger = Force Acting on Plunger/Pressure Intensity

Absolute Pressure given Gauge Pressure

Go Absolute Pressure = Gauge Pressure+Atmospheric Pressure

Strength of doublet for stream function Formula

Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y
µ = -(ψ*2*pi*((x^2)+(y^2)))/y

What is stream function?

A family of curves ψ = constant represents "streamlines," hence, the stream function remains constant along a streamline. The stream function represents a particular case of a vector potential of velocity, related to velocity by the equality.

What is doublet?

The doublet consists of a source and sink of momentum located in close proximity to one another. The analytical solution to the doublet was shown to be: where φ is the velocity potential and ψ is the stream function.

How to Calculate Strength of doublet for stream function?

Strength of doublet for stream function calculator uses Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y to calculate the Strength of Doublet, The Strength of doublet for stream function formula is known in considering the stream function and a point (x,y) situated in the fluid flow under superimposed flow. . Strength of Doublet is denoted by µ symbol.

How to calculate Strength of doublet for stream function using this online calculator? To use this online calculator for Strength of doublet for stream function, enter Stream Function (ψ), Length X (x) & Length y (y) and hit the calculate button. Here is how the Strength of doublet for stream function calculation can be explained with given input values -> -7.864035 = -(2.8*2*pi*((0.21^2)+(0.3^2)))/0.3.

FAQ

What is Strength of doublet for stream function?

The Strength of doublet for stream function formula is known in considering the stream function and a point (x,y) situated in the fluid flow under superimposed flow. and is represented as µ = -(ψ*2*pi*((x^2)+(y^2)))/y or Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y. The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line, Length x is simply the distance from the origin to the x coordinate & Length y is the vertical distance from the origin to the y coordinate.

How to calculate Strength of doublet for stream function?

The Strength of doublet for stream function formula is known in considering the stream function and a point (x,y) situated in the fluid flow under superimposed flow. is calculated using Strength of Doublet = -(Stream Function*2*pi*((Length X^2)+(Length y^2)))/Length y. To calculate Strength of doublet for stream function, you need Stream Function (ψ), Length X (x) & Length y (y). With our tool, you need to enter the respective value for Stream Function, Length X & Length y 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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