Velocity Potential 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 X-Axis is the distance of point measured along x-axis form origin.ⓘ Distance on X-Axis [x]			+10% -10%

✖Velocity Potential is a scalar function whose gradient gives velocity.ⓘ Velocity Potential for Uniform Incompressible Flow [ϕ]

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Velocity Potential for Uniform Incompressible Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Potential = Freestream Velocity*Distance on X-Axis
ϕ = V_∞*x
This formula uses 3 Variables

Variables Used

Velocity Potential - (Measured in Square Meter per Second) - Velocity Potential is a scalar function whose gradient gives velocity.
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 X-Axis - (Measured in Meter) - Distance on X-Axis is the distance of point measured along x-axis form 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 X-Axis: 5.82 Meter --> 5.82 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = V_∞*x --> 6.4*5.82

Evaluating ... ...

ϕ = 37.248

STEP 3: Convert Result to Output's Unit

37.248 Square Meter per Second --> No Conversion Required

FINAL ANSWER

37.248 Square Meter per Second <-- Velocity Potential

(Calculation completed in 00.004 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 Vinay Mishra

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

Vinay Mishra has verified this Calculator and 100+ 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

Velocity Potential for Uniform Incompressible Flow Formula

LaTeX Go

Velocity Potential = Freestream Velocity*Distance on X-Axis
ϕ = V_∞*x

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 velocity potential?

For an irrotational flow, there exists a scalar function, such that the velocity is given by the gradient of velocity potential.

How to Calculate Velocity Potential for Uniform Incompressible Flow?

Velocity Potential for Uniform Incompressible Flow calculator uses Velocity Potential = Freestream Velocity*Distance on X-Axis to calculate the Velocity Potential, The Velocity Potential for Uniform Incompressible Flow function (ϕ) increases linearly with distance in the direction of flow (x), reflecting the uniform nature of the flow. Consequently, there is no variation of velocity potential concerning the y-coordinate, illustrating the flow's homogeneity in the y-direction. Velocity Potential is denoted by ϕ symbol.

How to calculate Velocity Potential for Uniform Incompressible Flow using this online calculator? To use this online calculator for Velocity Potential for Uniform Incompressible Flow, enter Freestream Velocity (V_∞) & Distance on X-Axis (x) and hit the calculate button. Here is how the Velocity Potential for Uniform Incompressible Flow calculation can be explained with given input values -> 395.76 = 6.4*5.82.

FAQ

What is Velocity Potential for Uniform Incompressible Flow?

The Velocity Potential for Uniform Incompressible Flow function (ϕ) increases linearly with distance in the direction of flow (x), reflecting the uniform nature of the flow. Consequently, there is no variation of velocity potential concerning the y-coordinate, illustrating the flow's homogeneity in the y-direction and is represented as ϕ = V_∞*x or Velocity Potential = Freestream Velocity*Distance on X-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 X-Axis is the distance of point measured along x-axis form origin.

How to calculate Velocity Potential for Uniform Incompressible Flow?

The Velocity Potential for Uniform Incompressible Flow function (ϕ) increases linearly with distance in the direction of flow (x), reflecting the uniform nature of the flow. Consequently, there is no variation of velocity potential concerning the y-coordinate, illustrating the flow's homogeneity in the y-direction is calculated using Velocity Potential = Freestream Velocity*Distance on X-Axis. To calculate Velocity Potential for Uniform Incompressible Flow, you need Freestream Velocity (V_∞) & Distance on X-Axis (x). With our tool, you need to enter the respective value for Freestream Velocity & Distance on X-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 Velocity Potential?

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

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

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