Dimensions of 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%
✖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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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: 179 Degree --> 3.12413936106926 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = q/(2*U)*(1-∠A/pi) --> 1.5/(2*9)*(1-3.12413936106926/pi)

Evaluating ... ...

y = 0.000462962962978615

STEP 3: Convert Result to Output's Unit

0.000462962962978615 Meter --> No Conversion Required

FINAL ANSWER

0.000462962962978615 ≈ 0.000463 Meter <-- Length Y

(Calculation completed in 00.004 seconds)

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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

Dimensions of Rankine half-body Formula

LaTeX Go

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 -> 0.000463 = 1.5/(2*9)*(1-3.12413936106926/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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