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Stream Function at Point in Combined Flow Formula

GoStream function at point Formula

GoStream function in sink flow for angle Formula

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

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

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

Stream Function at Point in Combined Flow Example

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Here is how the Stream Function at Point in Combined Flow equation looks like with Values.

Here is how the Stream Function at Point in Combined Flow equation looks like with Units.

Here is how the Stream Function at Point in Combined Flow equation looks like.

0.8244 = (9 \cdot 0.5 \cdot \sin (179)) + (\frac{1.5}{2 \cdot 3.1416} \cdot 179)

0.8244m²/s = (9m/s \cdot 0.5m \cdot \sin (179°)) + (\frac{1.5m²/s}{2 \cdot 3.1416} \cdot 179°)

0.8244 = (9 \cdot 0.5 \cdot \sin (179)) + (\frac{1.5}{2 \cdot 3.1416} \cdot 179)

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Stream Function at Point in Combined Flow Solution

Follow our step by step solution on how to calculate Stream Function at Point in Combined Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ψ = (9m/s \cdot 0.5m \cdot \sin (179°)) + (\frac{1.5m²/s}{2 \cdot π} \cdot 179°)

Next Step Substitute values of Constants

∴

ψ = (9m/s \cdot 0.5m \cdot \sin (179°)) + (\frac{1.5m²/s}{2 \cdot 3.1416} \cdot 179°)

Next Step Convert Units

∴

ψ = (9m/s \cdot 0.5m \cdot \sin (3.1241rad)) + (\frac{1.5m²/s}{2 \cdot 3.1416} \cdot 3.1241rad)

Next Step Prepare to Evaluate

∴

ψ = (9 \cdot 0.5 \cdot \sin (3.1241)) + (\frac{1.5}{2 \cdot 3.1416} \cdot 3.1241)

Next Step Evaluate

∴

ψ = 0.824369162303623m²/s

LAST Step Rounding Answer

∴

ψ = 0.8244m²/s

Stream Function at Point in Combined Flow Formula Elements

Variables

Constants

Functions

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

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

Distance From End A

Distance from end A is the distance of the concentrated load from end A.

Symbol: a'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance From End A

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

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

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 Stream Function

Go Stream function at point

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

Go Stream function in sink flow for angle

ψ = \frac{q}{2 \cdot π} \cdot ∠A

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 Strength of doublet for stream function

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

How to Evaluate Stream Function at Point in Combined Flow?

Stream Function at Point in Combined Flow evaluator uses Stream Function = (Uniform Flow Velocity*Distance From End A*sin(Angle A))+(Strength of Source/(2*pi)*Angle A) to evaluate the Stream Function, The Stream Function at Point in Combined Flow formula is known from the relation of stream function due to uniform flow and stream function due to source considering angle 'θ' and distance from an end at P(x,y) as 'r' in the polar coordinates. Stream Function is denoted by ψ symbol.

How to evaluate Stream Function at Point in Combined Flow using this online evaluator? To use this online evaluator for Stream Function at Point in Combined Flow, enter Uniform Flow Velocity (U), Distance From End A (a'), Angle A (∠A) & Strength of Source (q) and hit the calculate button.

FAQs on Stream Function at Point in Combined Flow

What is the formula to find Stream Function at Point in Combined Flow?

The formula of Stream Function at Point in Combined Flow is expressed as Stream Function = (Uniform Flow Velocity*Distance From End A*sin(Angle A))+(Strength of Source/(2*pi)*Angle A). Here is an example- 0.824369 = (9*0.5*sin(3.12413936106926))+(1.5/(2*pi)*3.12413936106926).

How to calculate Stream Function at Point in Combined Flow?

With Uniform Flow Velocity (U), Distance From End A (a'), Angle A (∠A) & Strength of Source (q) we can find Stream Function at Point in Combined Flow using the formula - Stream Function = (Uniform Flow Velocity*Distance From End A*sin(Angle A))+(Strength of Source/(2*pi)*Angle A). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Stream Function?

Here are the different ways to Calculate Stream Function-

Stream Function=-(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2)))
Stream Function=Strength of Source/(2*pi)*Angle A

Can the Stream Function at Point in Combined Flow be negative?

Yes, the Stream Function at Point in Combined Flow, measured in Velocity Potential can be negative.

Which unit is used to measure Stream Function at Point in Combined Flow?

Stream Function at Point in Combined Flow is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Stream Function at Point in Combined Flow can be measured.

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Stream Function at Point in Combined Flow Formula

​GoStream function at point Formula

​GoStream function in sink flow for angle Formula

Stream Function at Point in Combined Flow Example

Stream Function at Point in Combined Flow Solution

Stream Function at Point in Combined Flow Formula Elements

Other Formulas to find Stream Function

Other formulas in Incompressible Flow Characteristics category

How to Evaluate Stream Function at Point in Combined Flow?

FAQs on Stream Function at Point in Combined Flow

Variable Name

GoStream function at point Formula

GoStream function in sink flow for angle Formula