Radius of Rankine circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
r = sqrt(µ/(2*pi*U))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Strength of Doublet - (Measured in Square Meter per Second) - The Strength of doublet is considered in the potential flow.
Uniform Flow Velocity - (Measured in Meter per Second) - The Uniform flow velocity is considered in flow past a half body.
STEP 1: Convert Input(s) to Base Unit
Strength of Doublet: 10 Square Meter per Second --> 10 Square Meter per Second No Conversion Required
Uniform Flow Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = sqrt(µ/(2*pi*U)) --> sqrt(10/(2*pi*9))
Evaluating ... ...
r = 0.42052208700336
STEP 3: Convert Result to Output's Unit
0.42052208700336 Meter --> No Conversion Required
FINAL ANSWER
0.42052208700336 0.420522 Meter <-- Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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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

Radius of Rankine circle Formula

Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
r = sqrt(µ/(2*pi*U))

What is a doublet flow?

Doublet (potential flow), fluid flow due to a source-sink combination. Doublet, or dimeresia howellii, a tiny flowering plant. Doublet earthquake, two earthquakes associated with space and time.

How flow around a circular cylinder is obtained?

Flow around a circular cylinder can be approached bringing the source and the sink closer. Then considering a uniform flow in combination with a doublet.

How to Calculate Radius of Rankine circle?

Radius of Rankine circle calculator uses Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)) to calculate the Radius, The Radius of Rankine circle formula is obtained from the relation shape of Rankine oval of equal axes considering the strength of doublet and uniform flow velocity from a doublet in a uniform flow. Radius is denoted by r symbol.

How to calculate Radius of Rankine circle using this online calculator? To use this online calculator for Radius of Rankine circle, enter Strength of Doublet (µ) & Uniform Flow Velocity (U) and hit the calculate button. Here is how the Radius of Rankine circle calculation can be explained with given input values -> 0.594708 = sqrt(10/(2*pi*9)).

FAQ

What is Radius of Rankine circle?
The Radius of Rankine circle formula is obtained from the relation shape of Rankine oval of equal axes considering the strength of doublet and uniform flow velocity from a doublet in a uniform flow and is represented as r = sqrt(µ/(2*pi*U)) or Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)). The Strength of doublet is considered in the potential flow & The Uniform flow velocity is considered in flow past a half body.
How to calculate Radius of Rankine circle?
The Radius of Rankine circle formula is obtained from the relation shape of Rankine oval of equal axes considering the strength of doublet and uniform flow velocity from a doublet in a uniform flow is calculated using Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)). To calculate Radius of Rankine circle, you need Strength of Doublet (µ) & Uniform Flow Velocity (U). With our tool, you need to enter the respective value for Strength of Doublet & Uniform Flow Velocity 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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