Stream Function for Uniform Incompressible Flow Calculator

✖The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖Distance on Y-Axis is the distance of point measured along y-axis from origin.ⓘ Distance on Y-Axis [y]			+10% -10%

✖The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.ⓘ Stream Function for Uniform Incompressible Flow [ψ]

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Stream Function for Uniform Incompressible Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stream Function = Freestream Velocity*Distance on Y-Axis
ψ = V_∞*y
This formula uses 3 Variables

Variables Used

Stream Function - (Measured in Square Meter per Second) - The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
Distance on Y-Axis - (Measured in Meter) - Distance on Y-Axis is the distance of point measured along y-axis from origin.

STEP 1: Convert Input(s) to Base Unit

Freestream Velocity: 6.4 Meter per Second --> 6.4 Meter per Second No Conversion Required
Distance on Y-Axis: 5.8 Meter --> 5.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = V_∞*y --> 6.4*5.8

Evaluating ... ...

ψ = 37.12

STEP 3: Convert Result to Output's Unit

37.12 Square Meter per Second --> No Conversion Required

FINAL ANSWER

37.12 Square Meter per Second <-- Stream Function

(Calculation completed in 00.020 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

< Uniform Flow Calculators

Velocity Potential for Uniform Incompressible Flow in Polar Coordinates

LaTeX Go Velocity Potential = Freestream Velocity*Radial Coordinate*cos(Polar Angle)

Stream Function for Uniform Incompressible Flow in Polar Coordinates

LaTeX Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)

Velocity Potential for Uniform Incompressible Flow

LaTeX Go Velocity Potential = Freestream Velocity*Distance on X-Axis

Stream Function for Uniform Incompressible Flow

LaTeX Go Stream Function = Freestream Velocity*Distance on Y-Axis

Stream Function for Uniform Incompressible Flow Formula

LaTeX Go

Stream Function = Freestream Velocity*Distance on Y-Axis
ψ = V_∞*y

What is uniform flow?

Uniform flow is a flow of a fluid in which each particle moves along its line of flow with constant speed and in which the cross-section of each stream tube remains unchanged.

What is stream function?

The stream function is defined such that ψ= constant is the equation of a streamline, and the difference in the stream function between two streamlines is equal to the mass flow between the streamlines.

How to Calculate Stream Function for Uniform Incompressible Flow?

Stream Function for Uniform Incompressible Flow calculator uses Stream Function = Freestream Velocity*Distance on Y-Axis to calculate the Stream Function, The Stream Function for Uniform Incompressible Flow states that the stream function is directly proportional to the distance from the flow axis and the velocity of the flow, this implies that the value of the stream function increases linearly with distance from the flow axis, reflecting the uniform nature of the flow. Stream Function is denoted by ψ symbol.

How to calculate Stream Function for Uniform Incompressible Flow using this online calculator? To use this online calculator for Stream Function for Uniform Incompressible Flow, enter Freestream Velocity (V_∞) & Distance on Y-Axis (y) and hit the calculate button. Here is how the Stream Function for Uniform Incompressible Flow calculation can be explained with given input values -> 394.4 = 6.4*5.8.

FAQ

What is Stream Function for Uniform Incompressible Flow?

The Stream Function for Uniform Incompressible Flow states that the stream function is directly proportional to the distance from the flow axis and the velocity of the flow, this implies that the value of the stream function increases linearly with distance from the flow axis, reflecting the uniform nature of the flow and is represented as ψ = V_∞*y or Stream Function = Freestream Velocity*Distance on Y-Axis. The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air & Distance on Y-Axis is the distance of point measured along y-axis from origin.

How to calculate Stream Function for Uniform Incompressible Flow?

The Stream Function for Uniform Incompressible Flow states that the stream function is directly proportional to the distance from the flow axis and the velocity of the flow, this implies that the value of the stream function increases linearly with distance from the flow axis, reflecting the uniform nature of the flow is calculated using Stream Function = Freestream Velocity*Distance on Y-Axis. To calculate Stream Function for Uniform Incompressible Flow, you need Freestream Velocity (V_∞) & Distance on Y-Axis (y). With our tool, you need to enter the respective value for Freestream Velocity & Distance on Y-Axis 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 Stream Function?

In this formula, Stream Function uses Freestream Velocity & Distance on Y-Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)

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