Dimensions of Rankine half-body Calculator

Search
Home	Physics ↺
Physics	Fluid Mechanics ↺
Fluid Mechanics	Ideal flow or Potential flow ↺

✖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]

⎘ Copy

👎

Formula

✖

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))`

Calculator

LaTeX

Reset

👍

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 Meter <-- Length y

(Calculation completed in 00.000 seconds)

You are here -

Home » Physics » Fluid Mechanics » Ideal flow or Potential flow » Dimensions of Rankine half-body

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 14 Ideal flow or Potential flow 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))))

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))

Radius of Rankine circle

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

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

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

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

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.

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!