Strength of source for Rankine half body Calculator

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Incompressible Flow Characteristics

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✖Length y is the vertical distance from the origin to the y coordinate.ⓘ Length y [y]			+10% -10%
✖The Uniform flow velocity is considered in flow past a half body.ⓘ Uniform Flow Velocity [U]			+10% -10%
✖The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+10% -10%

✖The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.ⓘ Strength of source for Rankine half body [q]

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Formula

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Strength of source for Rankine half body

Formula

`"q" = ("y"*2*"U")/(1-("∠A"/pi))`

Example

`"6.48m²/s"=("0.3m"*2*"9m/s")/(1-("30°"/pi))`

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Strength of source for Rankine half body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))
q = (y*2*U)/(1-(∠A/pi))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Strength of Source - (Measured in Square Meter per Second) - The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.
Length y - (Measured in Meter) - Length y is the vertical distance from the origin to the y coordinate.
Uniform Flow Velocity - (Measured in Meter per Second) - The Uniform flow velocity is considered in flow past a half body.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Length y: 0.3 Meter --> 0.3 Meter No Conversion Required
Uniform Flow Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (y*2*U)/(1-(∠A/pi)) --> (0.3*2*9)/(1-(0.5235987755982/pi))

Evaluating ... ...

q = 6.47999999999975

STEP 3: Convert Result to Output's Unit

6.47999999999975 Square Meter per Second --> No Conversion Required

FINAL ANSWER

6.47999999999975 ≈ 6.48 Square Meter per Second <-- Strength of Source

(Calculation completed in 00.020 seconds)

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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 source for Rankine half body Formula

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

What is Rankine half-body?

In the field of fluid dynamics, a Rankine half body is a feature of fluid flow discovered by Scottish physicist and engineer William Rankine that is formed when a fluid source is added to a fluid undergoing potential flow.

How is flow around a half body?

To determine the flow around a half body the superposition method will need to be used to combine a uniform flow with a source.

How to Calculate Strength of source for Rankine half body?

Strength of source for Rankine half body calculator uses Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi)) to calculate the Strength of Source, The Strength of source for Rankine half body formula is known by considering the dimension 'y', uniform flow velocity 'U', and the angle from the relation in shape of resultant flow. Strength of Source is denoted by q symbol.

How to calculate Strength of source for Rankine half body using this online calculator? To use this online calculator for Strength of source for Rankine half body, enter Length y (y), Uniform Flow Velocity (U) & Angle A (∠A) and hit the calculate button. Here is how the Strength of source for Rankine half body calculation can be explained with given input values -> 6.48 = (0.3*2*9)/(1-(0.5235987755982/pi)).

FAQ

What is Strength of source for Rankine half body?

The Strength of source for Rankine half body formula is known by considering the dimension 'y', uniform flow velocity 'U', and the angle from the relation in shape of resultant flow and is represented as q = (y*2*U)/(1-(∠A/pi)) or Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi)). Length y is the vertical distance from the origin to the y coordinate, The Uniform flow velocity is considered in flow past a half body & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Strength of source for Rankine half body?

The Strength of source for Rankine half body formula is known by considering the dimension 'y', uniform flow velocity 'U', and the angle from the relation in shape of resultant flow is calculated using Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi)). To calculate Strength of source for Rankine half body, you need Length y (y), Uniform Flow Velocity (U) & Angle A (∠A). With our tool, you need to enter the respective value for Length y, Uniform Flow Velocity & Angle A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Strength of Source?

In this formula, Strength of Source uses Length y, Uniform Flow Velocity & Angle A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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