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

✖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 A is the distance of the component A.ⓘ Distance 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 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance 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 A - (Measured in Meter) - Distance A is the distance of the component A.

STEP 1: Convert Input(s) to Base Unit

Stream Function: -2 Square Meter per Second --> -2 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: 179 Degree --> 3.12413936106926 Radian (Check conversion here)
Distance 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)-(1.5/(2*pi*3.12413936106926)))/((-0.5)*sin(3.12413936106926))

Evaluating ... ...

U = 237.951760431706

STEP 3: Convert Result to Output's Unit

237.951760431706 Meter per Second --> No Conversion Required

FINAL ANSWER

237.951760431706 ≈ 237.9518 Meter per Second <-- Uniform Flow Velocity

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

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

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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 stream function at point in combined flow Formula

LaTeX Go

Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance 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 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 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 -> -237.95176 = ((-2)-(1.5/(2*pi*3.12413936106926)))/((-0.5)*sin(3.12413936106926)).

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 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 A is the distance of the component 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 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 A (A'). With our tool, you need to enter the respective value for Stream Function, Strength of Source, Angle A & Distance 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 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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