Doublet Strength given Tangential Velocity Calculator

✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate [r]			+10% -10%
✖Tangential Velocity is the component of velocity in the tangential direction.ⓘ Tangential Velocity [V_θ]			+10% -10%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+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%

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

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Doublet Strength given Tangential Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)
μ = 4*pi*r^3*(V_θ/sin(θ)-V_∞)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

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.
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.
Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the component of velocity in the tangential direction.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.
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

Radial Coordinate: 2.758 Meter --> 2.758 Meter No Conversion Required
Tangential Velocity: 66 Meter per Second --> 66 Meter per Second No Conversion Required
Polar Angle: 0.7 Radian --> 0.7 Radian 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

μ = 4*pi*r^3*(V_θ/sin(θ)-V_∞) --> 4*pi*2.758^3*(66/sin(0.7)-68)

Evaluating ... ...

μ = 9081.96614510143

STEP 3: Convert Result to Output's Unit

9081.96614510143 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

9081.96614510143 ≈ 9081.966 Cubic Meter per Second <-- Doublet Strength

(Calculation completed in 00.020 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< Tangential Velocity Calculators

Radial Coordinate given Tangential Velocity

LaTeX Go Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3)

Polar Coordinate given Tangential Velocity

LaTeX Go Polar Angle = asin(Tangential Velocity/(Freestream Velocity+Doublet Strength/(4*pi*Radial Coordinate^3)))

Tangential Velocity for Flow over Sphere

LaTeX Go Tangential Velocity = (Freestream Velocity+Doublet Strength/(4*pi*Radial Coordinate^3))*sin(Polar Angle)

Freestream Velocity given Tangential Velocity

LaTeX Go Freestream Velocity = Tangential Velocity/sin(Polar Angle)-Doublet Strength/(4*pi*Radial Coordinate^3)

Doublet Strength given Tangential Velocity Formula

LaTeX Go

Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)
μ = 4*pi*r^3*(V_θ/sin(θ)-V_∞)

What are the characteristics of the flow field near and far from the sphere?

The flow lines are straight and uniform in the free stream far in front of the sphere, but they are deflected as they pass around the sphere. For a large distance away from the sphere the flow lines become somewhat more widely spaced, indicating that the fluid velocity is less than the free-stream velocity.

How to Calculate Doublet Strength given Tangential Velocity?

Doublet Strength given Tangential Velocity calculator uses Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity) to calculate the Doublet Strength, The Doublet Strength given Tangential Velocity formula calculates the strength of the doublet which induces the flow with the uniform velocity field in a particular direction by using the given tangential velocity at a particular location. Doublet Strength is denoted by μ symbol.

How to calculate Doublet Strength given Tangential Velocity using this online calculator? To use this online calculator for Doublet Strength given Tangential Velocity, enter Radial Coordinate (r), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Doublet Strength given Tangential Velocity calculation can be explained with given input values -> 5808.182 = 4*pi*2.758^3*(66/sin(0.7)-68).

FAQ

What is Doublet Strength given Tangential Velocity?

The Doublet Strength given Tangential Velocity formula calculates the strength of the doublet which induces the flow with the uniform velocity field in a particular direction by using the given tangential velocity at a particular location and is represented as μ = 4*pi*r^3*(V_θ/sin(θ)-V_∞) or Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity). Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin, Tangential Velocity is the component of velocity in the tangential direction, Polar Angle is the angular position of a point from a reference direction & 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 Doublet Strength given Tangential Velocity?

The Doublet Strength given Tangential Velocity formula calculates the strength of the doublet which induces the flow with the uniform velocity field in a particular direction by using the given tangential velocity at a particular location is calculated using Doublet Strength = 4*pi*Radial Coordinate^3*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity). To calculate Doublet Strength given Tangential Velocity, you need Radial Coordinate (r), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Radial Coordinate, Tangential Velocity, Polar Angle & 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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