Doublet Strength given Radial Coordinate of Stagnation Point 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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✖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%
✖Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.ⓘ Radius of Sphere [R_s]			+10% -10%

✖Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength given Radial Coordinate of Stagnation Point [μ]

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Formula

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Doublet Strength given Radial Coordinate of Stagnation Point

Formula

`"μ" = 2*pi*"V"_{"∞"}*"R"_{"s"}^3`

Example

`"9469.87m³/s"=2*pi*"68m/s"*("2.809m")^3`

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Doublet Strength given Radial Coordinate of Stagnation Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3
μ = 2*pi*V_∞*R_s^3
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Radius of Sphere - (Measured in Meter) - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

STEP 1: Convert Input(s) to Base Unit

Freestream Velocity: 68 Meter per Second --> 68 Meter per Second No Conversion Required
Radius of Sphere: 2.809 Meter --> 2.809 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 2*pi*V_∞*R_s^3 --> 2*pi*68*2.809^3

Evaluating ... ...

μ = 9469.86959683535

STEP 3: Convert Result to Output's Unit

9469.86959683535 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

9469.86959683535 ≈ 9469.87 Cubic Meter per Second <-- Doublet Strength

(Calculation completed in 00.021 seconds)

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Home » Physics » Aerodynamics » Three-Dimensional Incompressible Flow » Flow over Sphere » Stagnation Point » Doublet Strength given Radial Coordinate of Stagnation Point

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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

Doublet Strength given Radial Coordinate of Stagnation Point Formula

Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3
μ = 2*pi*V_∞*R_s^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 Doublet Strength given Radial Coordinate of Stagnation Point?

Doublet Strength given Radial Coordinate of Stagnation Point calculator uses Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3 to calculate the Doublet Strength, The Doublet Strength given Radial Coordinate of Stagnation Point formula calculates the strength of the doublet which induces the flow over a sphere where the resultant velocity becomes zero i.e. at the stagnation point. Doublet Strength is denoted by μ symbol.

How to calculate Doublet Strength given Radial Coordinate of Stagnation Point using this online calculator? To use this online calculator for Doublet Strength given Radial Coordinate of Stagnation Point, enter Freestream Velocity (V_∞) & Radius of Sphere (R_s) and hit the calculate button. Here is how the Doublet Strength given Radial Coordinate of Stagnation Point calculation can be explained with given input values -> 9469.87 = 2*pi*68*2.809^3.

FAQ

What is Doublet Strength given Radial Coordinate of Stagnation Point?

The Doublet Strength given Radial Coordinate of Stagnation Point formula calculates the strength of the doublet which induces the flow over a sphere where the resultant velocity becomes zero i.e. at the stagnation point and is represented as μ = 2*pi*V_∞*R_s^3 or Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3. 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 & Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

How to calculate Doublet Strength given Radial Coordinate of Stagnation Point?

The Doublet Strength given Radial Coordinate of Stagnation Point formula calculates the strength of the doublet which induces the flow over a sphere where the resultant velocity becomes zero i.e. at the stagnation point is calculated using Doublet Strength = 2*pi*Freestream Velocity*Radius of Sphere^3. To calculate Doublet Strength given Radial Coordinate of Stagnation Point, you need Freestream Velocity (V_∞) & Radius of Sphere (R_s). With our tool, you need to enter the respective value for Freestream Velocity & Radius of Sphere 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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