## 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
0.0694444444444471 Meter <-- Length y
(Calculation completed in 00.000 seconds)
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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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## < 14 Ideal flow or Potential flow Calculators

Uniform flow velocity for stream function at point in combined flow
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
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
Distance of Stagnation Point = Distance from end A*sqrt((1+(Strength of Source/(pi*Distance from end A*Uniform Flow Velocity))))
Stream function at point
Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))
Strength of doublet for stream function
Strength of Doublet = -(Stream function*2*pi*((Length x^2)+(Length y^2)))/Length y
Uniform flow velocity for Rankine half body
Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))
Dimensions of Rankine half-body
Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))
Strength of source for Rankine half body
Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))
Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
Distance of stagnation point S from source in flow past half body
Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)
Stream function in sink flow for angle
Stream function = (Strength of Source/(2*pi))*(Angle A)

## 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. Let Others Know