Uniform flow velocity for Rankine half body Calculator

✖The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.ⓘ Strength of Source [q]			+10% -10%
✖Length Y is the vertical distance from the origin to the y coordinate.ⓘ Length Y [y]			+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 Uniform flow velocity is considered in flow past a half body.ⓘ Uniform flow velocity for Rankine half body [U]

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Uniform flow velocity for Rankine half body Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Uniform Flow Velocity - (Measured in Meter per Second) - The Uniform flow velocity is considered in flow past a half body.
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.
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
Length Y: 0.095 Meter --> 0.095 Meter No Conversion Required
Angle A: 179 Degree --> 3.12413936106926 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = q/(2*y)*(1-∠A/pi) --> 1.5/(2*0.095)*(1-3.12413936106926/pi)

Evaluating ... ...

U = 0.0438596491242899

STEP 3: Convert Result to Output's Unit

0.0438596491242899 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0438596491242899 ≈ 0.04386 Meter per Second <-- Uniform Flow Velocity

(Calculation completed in 00.020 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

Uniform flow velocity for Rankine half body Formula

LaTeX Go

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

Uniform flow velocity for Rankine half body calculator uses Uniform Flow Velocity = Strength of Source/(2*Length Y)*(1-Angle A/pi) to calculate the Uniform Flow Velocity, Uniform flow velocity for Rankine half body refers to the freestream velocity at infinity, where the flow approaches a Rankine half body shape. This shape is a theoretical model in fluid dynamics where the flow around a semi-infinite flat plate placed in a uniform flow field is considered. Uniform Flow Velocity is denoted by U symbol.

How to calculate Uniform flow velocity for Rankine half body using this online calculator? To use this online calculator for Uniform flow velocity for Rankine half body, enter Strength of Source (q), Length Y (y) & Angle A (∠A) and hit the calculate button. Here is how the Uniform flow velocity for Rankine half body calculation can be explained with given input values -> -0.04386 = 1.5/(2*0.095)*(1-3.12413936106926/pi).

FAQ

What is Uniform flow velocity for Rankine half body?

Uniform flow velocity for Rankine half body refers to the freestream velocity at infinity, where the flow approaches a Rankine half body shape. This shape is a theoretical model in fluid dynamics where the flow around a semi-infinite flat plate placed in a uniform flow field is considered and is represented as U = q/(2*y)*(1-∠A/pi) or Uniform Flow Velocity = Strength of Source/(2*Length Y)*(1-Angle A/pi). The Strength of source, q is defined as the volume flow rate per unit depth of the fluid, Length Y is the vertical distance from the origin to the y coordinate & The Angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Uniform flow velocity for Rankine half body?

Uniform flow velocity for Rankine half body refers to the freestream velocity at infinity, where the flow approaches a Rankine half body shape. This shape is a theoretical model in fluid dynamics where the flow around a semi-infinite flat plate placed in a uniform flow field is considered is calculated using Uniform Flow Velocity = Strength of Source/(2*Length Y)*(1-Angle A/pi). To calculate Uniform flow velocity for Rankine half body, you need Strength of Source (q), Length Y (y) & Angle A (∠A). With our tool, you need to enter the respective value for Strength of Source, Length Y & 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 Uniform Flow Velocity?

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

Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance A*sin(Angle A))

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