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

GoUniform flow velocity for Rankine half body Formula

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The Uniform flow velocity is considered in flow past a half body. Check FAQs

U = \frac{ψ - (\frac{q}{2 \cdot π \cdot ∠A})}{A' \cdot \sin (∠A)}

U - Uniform Flow Velocity?ψ - Stream Function?q - Strength of Source?∠A - Angle A?A' - Distance A?π - Archimedes' constant?

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

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Here is how the Uniform flow velocity for stream function at point in combined flow equation looks like with Values.

Here is how the Uniform flow velocity for stream function at point in combined flow equation looks like with Units.

Here is how the Uniform flow velocity for stream function at point in combined flow equation looks like.

237.9518 = \frac{-2 - (\frac{1.5}{2 \cdot 3.1416 \cdot 179})}{-0.5 \cdot \sin (179)}

237.9518m/s = \frac{-2m²/s - (\frac{1.5m²/s}{2 \cdot 3.1416 \cdot 179°})}{-0.5m \cdot \sin (179°)}

237.9518 = \frac{-2 - (\frac{1.5}{2 \cdot 3.1416 \cdot 179})}{-0.5 \cdot \sin (179)}

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

Follow our step by step solution on how to calculate Uniform flow velocity for stream function at point in combined flow?

FIRST Step Consider the formula

U = \frac{ψ - (\frac{q}{2 \cdot π \cdot ∠A})}{A' \cdot \sin (∠A)}

Next Step Substitute values of Variables

∴

U = \frac{-2m²/s - (\frac{1.5m²/s}{2 \cdot π \cdot 179°})}{-0.5m \cdot \sin (179°)}

Next Step Substitute values of Constants

∴

U = \frac{-2m²/s - (\frac{1.5m²/s}{2 \cdot 3.1416 \cdot 179°})}{-0.5m \cdot \sin (179°)}

Next Step Convert Units

∴

U = \frac{-2m²/s - (\frac{1.5m²/s}{2 \cdot 3.1416 \cdot 3.1241rad})}{-0.5m \cdot \sin (3.1241rad)}

Next Step Prepare to Evaluate

∴

U = \frac{-2 - (\frac{1.5}{2 \cdot 3.1416 \cdot 3.1241})}{-0.5 \cdot \sin (3.1241)}

Next Step Evaluate

∴

U = 237.951760431706m/s

LAST Step Rounding Answer

∴

U = 237.9518m/s

Uniform flow velocity for stream function at point in combined flow Formula Elements

Variables

Constants

Functions

Uniform Flow Velocity

The Uniform flow velocity is considered in flow past a half body.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Uniform Flow Velocity

Stream Function

The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.

Symbol: ψ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Stream Function

Strength of Source

The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Strength of Source

Angle A

The Angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle A

Distance A

Distance A is the distance of the component A.

Symbol: A'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance A

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Uniform Flow Velocity

Go Uniform flow velocity for Rankine half body

U = \frac{q}{2 \cdot y} \cdot (1 - \frac{∠A}{π})

Other formulas in Incompressible Flow Characteristics category

Go Radial velocity at any radius

V r = \frac{q}{2 \cdot π \cdot r 1}

Go Strength of source for radial velocity and at any radius

q = V r \cdot 2 \cdot π \cdot r 1

Go Radius at any point considering radial velocity

r 1 = \frac{q}{2 \cdot π \cdot V r}

Go Stream function at point

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

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

Uniform flow velocity for stream function at point in combined flow evaluator uses Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance A*sin(Angle A)) to evaluate 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 evaluate Uniform flow velocity for stream function at point in combined flow using this online evaluator? To use this online evaluator 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.

FAQs on Uniform flow velocity for stream function at point in combined flow

What is the formula to find Uniform flow velocity for stream function at point in combined flow?

The formula of Uniform flow velocity for stream function at point in combined flow is expressed as Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance A*sin(Angle A)). Here is an example- -237.95176 = ((-2)-(1.5/(2*pi*3.12413936106926)))/((-0.5)*sin(3.12413936106926)).

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

With Stream Function (ψ), Strength of Source (q), Angle A (∠A) & Distance A (A') we can find Uniform flow velocity for stream function at point in combined flow using the formula - Uniform Flow Velocity = (Stream Function-(Strength of Source/(2*pi*Angle A)))/(Distance A*sin(Angle A)). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Uniform Flow Velocity?

Here are the different ways to Calculate Uniform Flow Velocity-

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

Can the Uniform flow velocity for stream function at point in combined flow be negative?

Yes, the Uniform flow velocity for stream function at point in combined flow, measured in Speed can be negative.

Which unit is used to measure Uniform flow velocity for stream function at point in combined flow?

Uniform flow velocity for stream function at point in combined flow is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Uniform flow velocity for stream function at point in combined flow can be measured.

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

​GoUniform flow velocity for Rankine half body Formula

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

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

Uniform flow velocity for stream function at point in combined flow Formula Elements

Other Formulas to find Uniform Flow Velocity

Other formulas in Incompressible Flow Characteristics category

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

FAQs on Uniform flow velocity for stream function at point in combined flow

Variable Name

GoUniform flow velocity for Rankine half body Formula