Strength of source for Rankine half body Calculator

✖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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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: 0.095 Meter --> 0.095 Meter No Conversion Required
Uniform Flow Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Angle A: 179 Degree --> 3.12413936106926 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (y*2*U)/(1-(∠A/pi)) --> (0.095*2*9)/(1-(3.12413936106926/pi))

Evaluating ... ...

q = 307.799999989593

STEP 3: Convert Result to Output's Unit

307.799999989593 Square Meter per Second --> No Conversion Required

FINAL ANSWER

307.799999989593 ≈ 307.8 Square Meter per Second <-- Strength of Source

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Incompressible Flow Characteristics Calculators

Stream function at point

LaTeX Go Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2)))

Radius at any point considering radial velocity

LaTeX Go Radius 1 = Strength of Source/(2*pi*Radial Velocity)

Radial velocity at any radius

LaTeX Go Radial Velocity = Strength of Source/(2*pi*Radius 1)

Strength of source for radial velocity and at any radius

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

Strength of source for Rankine half body Formula

LaTeX Go

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, Strength of source for Rankine half body is a theoretical fluid dynamics concept used to model flow around an immersed body. It is derived from potential flow theory, assuming irrotational flow and zero drag. The strength of the source in Rankine half body theory represents the source/sink strength needed to represent the flow around the half body. 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 -> -307.8 = (0.095*2*9)/(1-(3.12413936106926/pi)).

FAQ

What is Strength of source for Rankine half body?

Strength of source for Rankine half body is a theoretical fluid dynamics concept used to model flow around an immersed body. It is derived from potential flow theory, assuming irrotational flow and zero drag. The strength of the source in Rankine half body theory represents the source/sink strength needed to represent the flow around the half body 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?

Strength of source for Rankine half body is a theoretical fluid dynamics concept used to model flow around an immersed body. It is derived from potential flow theory, assuming irrotational flow and zero drag. The strength of the source in Rankine half body theory represents the source/sink strength needed to represent the flow around the half body 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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