Radial Coordinate given Tangential Velocity Calculator

✖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%
✖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%

✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate given Tangential Velocity [r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Three Dimensional Incompressible Flow Formulas PDF PDF Image

Radial Coordinate given Tangential Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3)
r = (μ/(4*pi*(V_θ/sin(θ)-V_∞)))^(1/3)
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

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.
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

Doublet Strength: 9463 Cubic Meter per Second --> 9463 Cubic Meter per Second 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

r = (μ/(4*pi*(V_θ/sin(θ)-V_∞)))^(1/3) --> (9463/(4*pi*(66/sin(0.7)-68)))^(1/3)

Evaluating ... ...

r = 2.79604344789222

STEP 3: Convert Result to Output's Unit

2.79604344789222 Meter --> No Conversion Required

FINAL ANSWER

2.79604344789222 ≈ 2.796043 Meter <-- Radial Coordinate

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Three Dimensional Incompressible Flow » Flow over Sphere » Aerospace » Tangential Velocity » Radial Coordinate given Tangential Velocity

Credits

Created by Ravi Khiyani

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

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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)

Radial Coordinate given Tangential Velocity Formula

LaTeX Go

Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3)
r = (μ/(4*pi*(V_θ/sin(θ)-V_∞)))^(1/3)

What is doublet flow?

Doublet flow is a special, degenerate case of a source-sink pair that leads to a singularity. It is frequently used in incompressible flow. When the distance between source-sink pair tends to zero that is when the source-sink falls on top of each other, they do not extinguish each other because the absolute magnitude of their strength becomes infinitely large in the limit.

How to Calculate Radial Coordinate given Tangential Velocity?

Radial Coordinate given Tangential Velocity calculator uses Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3) to calculate the Radial Coordinate, The Radial Coordinate given Tangential Velocity formula calculates the radial position in the three-dimensional doublet flow over a sphere when there is tangential velocity given. Radial Coordinate is denoted by r symbol.

How to calculate Radial Coordinate given Tangential Velocity using this online calculator? To use this online calculator for Radial Coordinate given Tangential Velocity, enter Doublet Strength (μ), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Radial Coordinate given Tangential Velocity calculation can be explained with given input values -> 3.245317 = (9463/(4*pi*(66/sin(0.7)-68)))^(1/3).

FAQ

What is Radial Coordinate given Tangential Velocity?

The Radial Coordinate given Tangential Velocity formula calculates the radial position in the three-dimensional doublet flow over a sphere when there is tangential velocity given and is represented as r = (μ/(4*pi*(V_θ/sin(θ)-V_∞)))^(1/3) or Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3). Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength, 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 Radial Coordinate given Tangential Velocity?

The Radial Coordinate given Tangential Velocity formula calculates the radial position in the three-dimensional doublet flow over a sphere when there is tangential velocity given is calculated using Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3). To calculate Radial Coordinate given Tangential Velocity, you need Doublet Strength (μ), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Doublet Strength, 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.

Home

FREE PDFs

🔍 Search