Radial Velocity for Non-Lifting Flow over Circular Cylinder Calculator

✖The Cylinder Radius is the radius of its circular cross section.ⓘ Cylinder Radius [R]			+10% -10%
✖Radial Coordinate represents the distance measured from a central point or axis.ⓘ Radial Coordinate [r]			+10% -10%
✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity [V_∞]			+10% -10%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+10% -10%

✖Radial Velocity represents the speed of an object's motion along the radial direction.ⓘ Radial Velocity for Non-Lifting Flow over Circular Cylinder [V_r]

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Radial Velocity for Non-Lifting Flow over Circular Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)
V_r = (1-(R/r)^2)*V_∞*cos(θ)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Radial Velocity - (Measured in Meter per Second) - Radial Velocity represents the speed of an object's motion along the radial direction.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Radial Coordinate - (Measured in Meter) - Radial Coordinate represents the distance measured from a central point or axis.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.

STEP 1: Convert Input(s) to Base Unit

Cylinder Radius: 0.08 Meter --> 0.08 Meter No Conversion Required
Radial Coordinate: 0.27 Meter --> 0.27 Meter No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required
Polar Angle: 0.9 Radian --> 0.9 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = (1-(R/r)^2)*V_∞*cos(θ) --> (1-(0.08/0.27)^2)*6.9*cos(0.9)

Evaluating ... ...

V_r = 3.91256150810692

STEP 3: Convert Result to Output's Unit

3.91256150810692 Meter per Second --> No Conversion Required

FINAL ANSWER

3.91256150810692 ≈ 3.912562 Meter per Second <-- Radial Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Two Dimensional Incompressible Flow » Flow and Lift Distribution » Flow over Cylinder » Aerospace » Nonlifting Flow over Cylinder » Radial Velocity for Non-Lifting Flow over Circular Cylinder

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< Nonlifting Flow over Cylinder Calculators

Stream Function for Non-Lifting Flow over Circular Cylinder

LaTeX Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2)

Tangential Velocity for Non-Lifting Flow over Circular Cylinder

LaTeX Go Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)

Radial Velocity for Non-Lifting Flow over Circular Cylinder

LaTeX Go Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)

Radius of Cylinder for Non-Lifting Flow

LaTeX Go Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))

Radial Velocity for Non-Lifting Flow over Circular Cylinder Formula

LaTeX Go

Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)
V_r = (1-(R/r)^2)*V_∞*cos(θ)

How to obtain non-lifting flow over circular cylinder?

The non-lifting flow over a circular cylinder is obtained by the superimposition of uniform flow and doublet flow. The pressure distribution is symmetrical about the horizontal and vertical axis for non-lifting flow.

How to Calculate Radial Velocity for Non-Lifting Flow over Circular Cylinder?

Radial Velocity for Non-Lifting Flow over Circular Cylinder calculator uses Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle) to calculate the Radial Velocity, Radial Velocity for Non-Lifting Flow over Circular Cylinder formula is defined as a representation of the velocity field around a circular cylinder in a two-dimensional incompressible flow, illustrating how flow velocity varies with distance from the cylinder and angle. Radial Velocity is denoted by V_r symbol.

How to calculate Radial Velocity for Non-Lifting Flow over Circular Cylinder using this online calculator? To use this online calculator for Radial Velocity for Non-Lifting Flow over Circular Cylinder, enter Cylinder Radius (R), Radial Coordinate (r), Freestream Velocity (V_∞) & Polar Angle (θ) and hit the calculate button. Here is how the Radial Velocity for Non-Lifting Flow over Circular Cylinder calculation can be explained with given input values -> 5.582958 = (1-(0.08/0.27)^2)*6.9*cos(0.9).

FAQ

What is Radial Velocity for Non-Lifting Flow over Circular Cylinder?

Radial Velocity for Non-Lifting Flow over Circular Cylinder formula is defined as a representation of the velocity field around a circular cylinder in a two-dimensional incompressible flow, illustrating how flow velocity varies with distance from the cylinder and angle and is represented as V_r = (1-(R/r)^2)*V_∞*cos(θ) or Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle). The Cylinder Radius is the radius of its circular cross section, Radial Coordinate represents the distance measured from a central point or axis, The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles & Polar Angle is the angular position of a point from a reference direction.

How to calculate Radial Velocity for Non-Lifting Flow over Circular Cylinder?

Radial Velocity for Non-Lifting Flow over Circular Cylinder formula is defined as a representation of the velocity field around a circular cylinder in a two-dimensional incompressible flow, illustrating how flow velocity varies with distance from the cylinder and angle is calculated using Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle). To calculate Radial Velocity for Non-Lifting Flow over Circular Cylinder, you need Cylinder Radius (R), Radial Coordinate (r), Freestream Velocity (V_∞) & Polar Angle (θ). With our tool, you need to enter the respective value for Cylinder Radius, Radial Coordinate, Freestream Velocity & Polar Angle 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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