Radial Coordinate of Stagnation Point for Flow over Sphere Calculator

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Three-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Two-Dimensional Incompressible Flow

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✖Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [μ]			+10% -10%
✖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%

✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate of Stagnation Point for Flow over Sphere [r]

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Formula

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Radial Coordinate of Stagnation Point for Flow over Sphere

Formula

`"r" = ("μ"/(2*pi*"V"_{"∞"}))^(1/3)`

Example

`"2.808321m"=("9463m³/s"/(2*pi*"68m/s"))^(1/3)`

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Download Three-Dimensional Incompressible Flow Formulas PDF

Radial Coordinate of Stagnation Point for Flow over Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3)
r = (μ/(2*pi*V_∞))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radial Coordinate - (Measured in Meter) - Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.
Doublet Strength - (Measured in Cubic Meter per Second) - Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.
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.

STEP 1: Convert Input(s) to Base Unit

Doublet Strength: 9463 Cubic Meter per Second --> 9463 Cubic Meter per Second No Conversion Required
Freestream Velocity: 68 Meter per Second --> 68 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (μ/(2*pi*V_∞))^(1/3) --> (9463/(2*pi*68))^(1/3)

Evaluating ... ...

r = 2.80832060432159

STEP 3: Convert Result to Output's Unit

2.80832060432159 Meter --> No Conversion Required

FINAL ANSWER

2.80832060432159 ≈ 2.808321 Meter <-- Radial Coordinate

(Calculation completed in 00.004 seconds)

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< 3 Stagnation Point Calculators

Radial Coordinate of Stagnation Point for Flow over Sphere

Go Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3)

Freestream Velocity at Stagnation Point for Flow over Sphere

Go Freestream Velocity = Doublet Strength/(2*pi*Radius of Sphere^3)

Doublet Strength given Radial Coordinate of Stagnation Point

Go Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3

Radial Coordinate of Stagnation Point for Flow over Sphere Formula

Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3)
r = (μ/(2*pi*V_∞))^(1/3)

What do you mean by stagnation properties?

Stagnation Properties of fluid are defined as "When a flowing fluid past an immersed body, and at a point on the body if the resultant velocity becomes zero, then the values of pressure, temperature, and density at that point", are called stagnation properties.

How to Calculate Radial Coordinate of Stagnation Point for Flow over Sphere?

Radial Coordinate of Stagnation Point for Flow over Sphere calculator uses Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3) to calculate the Radial Coordinate, The Radial Coordinate of Stagnation Point for Flow over Sphere formula calculates the radial coordinate for the point at which the fluid velocity becomes zero or we can say stagnation point for the 3D incompressible flow over a sphere. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate of Stagnation Point for Flow over Sphere using this online calculator? To use this online calculator for Radial Coordinate of Stagnation Point for Flow over Sphere, enter Doublet Strength (μ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Radial Coordinate of Stagnation Point for Flow over Sphere calculation can be explained with given input values -> 2.808321 = (9463/(2*pi*68))^(1/3).

FAQ

What is Radial Coordinate of Stagnation Point for Flow over Sphere?

The Radial Coordinate of Stagnation Point for Flow over Sphere formula calculates the radial coordinate for the point at which the fluid velocity becomes zero or we can say stagnation point for the 3D incompressible flow over a sphere and is represented as r = (μ/(2*pi*V_∞))^(1/3) or Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3). Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength & 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.

How to calculate Radial Coordinate of Stagnation Point for Flow over Sphere?

The Radial Coordinate of Stagnation Point for Flow over Sphere formula calculates the radial coordinate for the point at which the fluid velocity becomes zero or we can say stagnation point for the 3D incompressible flow over a sphere is calculated using Radial Coordinate = (Doublet Strength/(2*pi*Freestream Velocity))^(1/3). To calculate Radial Coordinate of Stagnation Point for Flow over Sphere, you need Doublet Strength (μ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Doublet Strength & Freestream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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