Uniform flow velocity for stream function at point in combined flow Calculator

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✖The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.ⓘ Stream Function [ψ]			+10% -10%
✖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 angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+10% -10%
✖Distance from end A is the distance of the concentrated load from end A.ⓘ Distance from End A [a']			+10% -10%

✖The Uniform flow velocity is considered in flow past a half body.ⓘ Uniform flow velocity for stream function at point in combined flow [U]

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Uniform flow velocity for stream function at point in combined flow

Formula

`"U" = ("ψ"-("q"/(2*pi*"∠A")))/("a'"*sin("∠A"))`

Example

`"9.376219m/s"=("2.8m²/s"-("1.5m²/s"/(2*pi*"30°")))/("0.5m"*sin("30°"))`

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Uniform flow velocity for stream function at point in combined flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A))
U = (ψ-(q/(2*pi*∠A)))/(a'*sin(∠A))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Uniform Flow Velocity - (Measured in Meter per Second) - The Uniform flow velocity is considered in flow past a half body.
Stream Function - (Measured in Square Meter per Second) - The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.
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.
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.
Distance from End A - (Measured in Meter) - Distance from end A is the distance of the concentrated load from end A.

STEP 1: Convert Input(s) to Base Unit

Stream Function: 2.8 Square Meter per Second --> 2.8 Square Meter per Second No Conversion Required
Strength of Source: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Distance from End A: 0.5 Meter --> 0.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (ψ-(q/(2*pi*∠A)))/(a'*sin(∠A)) --> (2.8-(1.5/(2*pi*0.5235987755982)))/(0.5*sin(0.5235987755982))

Evaluating ... ...

U = 9.37621869443758

STEP 3: Convert Result to Output's Unit

9.37621869443758 Meter per Second --> No Conversion Required

FINAL ANSWER

9.37621869443758 ≈ 9.376219 Meter per Second <-- Uniform Flow Velocity

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Flow Characteristics » Incrompressible Flow » Incompressible Flow Characteristics » Uniform flow velocity for stream function at point in combined flow

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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 stream function at point in combined flow Formula

Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A))
U = (ψ-(q/(2*pi*∠A)))/(a'*sin(∠A))

What is stream function?

A family of curves ψ = constant represents "streamlines," hence, the stream function remains constant along a streamline. The stream function represents a particular case of a vector potential of velocity, related to velocity by the equality.

What is flow past 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. Superposition of uniform flow and source flow yields the Rankine half body flow.

How to Calculate Uniform flow velocity for stream function at point in combined flow?

Uniform flow velocity for stream function at point in combined flow calculator uses Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A)) to calculate the Uniform Flow Velocity, The Uniform flow velocity for stream function at point in combined flow formula is known from relation of stream function due to uniform flow and stream function due to source considering angle 'θ' and distance from O at P(x,y) as 'r' in polar coordinates. Uniform Flow Velocity is denoted by U symbol.

How to calculate Uniform flow velocity for stream function at point in combined flow using this online calculator? To use this online calculator for Uniform flow velocity for stream function at point in combined flow, enter Stream Function (ψ), Strength of Source (q), Angle A (∠A) & Distance from End A (a') and hit the calculate button. Here is how the Uniform flow velocity for stream function at point in combined flow calculation can be explained with given input values -> 206.1762 = (2.8-(1.5/(2*pi*0.5235987755982)))/(0.5*sin(0.5235987755982)).

FAQ

What is Uniform flow velocity for stream function at point in combined flow?

The Uniform flow velocity for stream function at point in combined flow formula is known from relation of stream function due to uniform flow and stream function due to source considering angle 'θ' and distance from O at P(x,y) as 'r' in polar coordinates and is represented as U = (ψ-(q/(2*pi*∠A)))/(a'*sin(∠A)) or Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A)). The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line, The Strength of source, q is defined as the volume flow rate per unit depth of the fluid, The angle A the space between two intersecting lines or surfaces at or close to the point where they meet & Distance from end A is the distance of the concentrated load from end A.

How to calculate Uniform flow velocity for stream function at point in combined flow?

The Uniform flow velocity for stream function at point in combined flow formula is known from relation of stream function due to uniform flow and stream function due to source considering angle 'θ' and distance from O at P(x,y) as 'r' in polar coordinates is calculated using Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance from End A*sin(Angle A)). To calculate Uniform flow velocity for stream function at point in combined flow, you need Stream Function (ψ), Strength of Source (q), Angle A (∠A) & Distance from End A (a'). With our tool, you need to enter the respective value for Stream Function, Strength of Source, Angle A & Distance from End 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 Stream Function, Strength of Source, Angle A & Distance from End A. We can use 1 other way(s) to calculate the same, which is/are as follows -

Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))

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