✖The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.ⓘ Strength of Source [q]			+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%

✖Length y is the vertical distance from the origin to the y coordinate.ⓘ Dimensions of Rankine half-body [y]

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Formula

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Dimensions of Rankine half-body

Formula

`"y" = ("q"/(2*"U"))*(1-("∠A"/pi))`

Example

`"0.069444m"=("1.5m²/s"/(2*"9m/s"))*(1-("30°"/pi))`

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Dimensions of Rankine half-body Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length y - (Measured in Meter) - Length y is the vertical distance from the origin to the y coordinate.
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.
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

Strength of Source: 1.5 Square Meter per Second --> 1.5 Square Meter per Second 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

y = (q/(2*U))*(1-(∠A/pi)) --> (1.5/(2*9))*(1-(0.5235987755982/pi))

Evaluating ... ...

y = 0.0694444444444471

STEP 3: Convert Result to Output's Unit

0.0694444444444471 Meter --> No Conversion Required

FINAL ANSWER

0.0694444444444471 ≈ 0.069444 Meter <-- Length y

(Calculation completed in 00.004 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

Dimensions of Rankine half-body Formula

Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))
y = (q/(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 Dimensions of Rankine half-body?

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

How to calculate Dimensions of Rankine half-body using this online calculator? To use this online calculator for Dimensions of Rankine half-body, enter Strength of Source (q), Uniform Flow Velocity (U) & Angle A (∠A) and hit the calculate button. Here is how the Dimensions of Rankine half-body calculation can be explained with given input values -> 0.069444 = (1.5/(2*9))*(1-(0.5235987755982/pi)).

FAQ

What is Dimensions of Rankine half-body?

The Dimensions of Rankine half-body formula is known by considering the strength of source 'q', uniform flow velocity 'U', and the angle from the relation in shape of resultant flow and is represented as y = (q/(2*U))*(1-(∠A/pi)) or Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi)). The Strength of source, q is defined as the volume flow rate per unit depth of the fluid, 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 Dimensions of Rankine half-body?

The Dimensions of Rankine half-body formula is known by considering the strength of source 'q', uniform flow velocity 'U', and the angle from the relation in shape of resultant flow is calculated using Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi)). To calculate Dimensions of Rankine half-body, you need Strength of Source (q), Uniform Flow Velocity (U) & Angle A (∠A). With our tool, you need to enter the respective value for Strength of Source, 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.

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