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: 0.3 Meter --> 0.3 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = (q/(2*y))*(1-(∠A/pi)) --> (1.5/(2*0.3))*(1-(0.5235987755982/pi))
Evaluating ... ...
U = 2.08333333333341
STEP 3: Convert Result to Output's Unit
2.08333333333341 Meter per Second --> No Conversion Required
FINAL ANSWER
2.08333333333341 2.083333 Meter per Second <-- Uniform Flow Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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23 Incompressible Flow Characteristics 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))))
Temperature Lapse Rate given Gas Constant
Go Temperature Lapse Rate = (-Acceleration Due to Gravity/Universal Gas Constant)*((Specific constant-1)/(Specific constant))
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))
Pressure Head given Density
Go Pressure Head = Pressure above Atmospheric Pressure/(Density of Fluid*Acceleration Due to Gravity)
Radius of Rankine circle
Go Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
Pressure at point in piezometer given Mass and Volume
Go Pressure = (Mass of water*Acceleration Due to Gravity*Height of Water above Bottom of Wall)
Height of liquid in piezometer
Go Height of Liquid = Water Pressure/(Water Density*Acceleration Due to Gravity)
Distance of stagnation point S from source in flow past half body
Go Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)
Pressure at any point in liquid
Go Pressure = Density*Acceleration Due to Gravity*Pressure Head
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
Hydrostatic law
Go Weight density = Density of Fluid*Acceleration Due to Gravity
Force on Plunger given Intensity
Go Force Acting on Plunger = Pressure Intensity*Area of plunger
Area of plunger
Go Area of plunger = Force Acting on Plunger/Pressure Intensity
Absolute Pressure given Gauge Pressure
Go Absolute Pressure = Gauge Pressure+Atmospheric Pressure

Uniform flow velocity for Rankine half body Formula

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, The Uniform flow velocity for Rankine half body formula is the strength of source 'q', dimension 'y', and the angle from the relation in shape of resultant flow. 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 -> 2.083333 = (1.5/(2*0.3))*(1-(0.5235987755982/pi)).

FAQ

What is Uniform flow velocity for Rankine half body?
The Uniform flow velocity for Rankine half body formula is the strength of source 'q', dimension 'y', and the angle from the relation in shape of resultant flow 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?
The Uniform flow velocity for Rankine half body formula is the strength of source 'q', dimension 'y', and the angle from the relation in shape of resultant flow 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 from End A*sin(Angle A))
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