Radial velocity at any radius Calculator

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✖The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.ⓘ Strength of Source [q]			+10% -10%
✖Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.ⓘ Radius 1 [r₁]			+10% -10%

✖The Radial velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.ⓘ Radial velocity at any radius [u_r]

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Formula

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Radial velocity at any radius

Formula

`"u"_{"r"} = "q"/(2*pi*"r"_{"1"})`

Example

`"0.019894m/s"="1.5m²/s"/(2*pi*"12m")`

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Radial velocity at any radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity = Strength of Source/(2*pi*Radius 1)
u_r = q/(2*pi*r₁)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radial Velocity - (Measured in Meter per Second) - The Radial velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.
Strength of Source - (Measured in Square Meter per Second) - The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.
Radius 1 - (Measured in Meter) - Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.

STEP 1: Convert Input(s) to Base Unit

Strength of Source: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required
Radius 1: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_r = q/(2*pi*r₁) --> 1.5/(2*pi*12)

Evaluating ... ...

u_r = 0.0198943678864869

STEP 3: Convert Result to Output's Unit

0.0198943678864869 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0198943678864869 Meter per Second <-- Radial Velocity

(Calculation completed in 00.015 seconds)

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Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 14 Ideal flow or Potential flow Calculators

Uniform flow velocity for stream function at point in combined flow

Go Uniform Flow Velocity = (Stream function-(Strength of Source/(2*pi*Angle A)))/(Distance from end A*sin(Angle A))

Stream Function at Point in Combined Flow

Go Stream function = (Uniform Flow Velocity*Distance from end A*sin(Angle A))+((Strength of Source/(2*pi))*Angle A)

Location of stagnation point on x-axis

Go Distance of Stagnation Point = Distance from end A*sqrt((1+(Strength of Source/(pi*Distance from end A*Uniform Flow Velocity))))

Stream function at point

Go Stream function = -(Strength of Doublet/(2*pi))*(Length y/((Length x^2)+(Length y^2)))

Strength of doublet for stream function

Go Strength of Doublet = -(Stream function*2*pi*((Length x^2)+(Length y^2)))/Length y

Uniform flow velocity for Rankine half body

Go Uniform Flow Velocity = (Strength of Source/(2*Length y))*(1-(Angle A/pi))

Dimensions of Rankine half-body

Go Length y = (Strength of Source/(2*Uniform Flow Velocity))*(1-(Angle A/pi))

Strength of source for Rankine half body

Go Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))

Radius of Rankine circle

Go Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))

Distance of stagnation point S from source in flow past half body

Go Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)

Stream function in sink flow for angle

Go Stream function = (Strength of Source/(2*pi))*(Angle A)

Radius at any point considering radial velocity

Go Radius 1 = Strength of Source/(2*pi*Radial Velocity)

Radial velocity at any radius

Go Radial Velocity = Strength of Source/(2*pi*Radius 1)

Strength of source for radial velocity and at any radius

Go Strength of Source = Radial Velocity*2*pi*Radius 1

Radial velocity at any radius Formula

Radial Velocity = Strength of Source/(2*pi*Radius 1)
u_r = q/(2*pi*r₁)

What is radial velocity?

The radial velocity of an object with respect to a given point is the rate of change of the distance between the object and the point. That is, the radial velocity is the component of the object's velocity that points in the direction of the radius connecting the point and the object.

What is source flow?

Source flow is defined as the two-dimensional flow coming from a point called the source and moving out radially on a plane at a uniform rate.

How to Calculate Radial velocity at any radius?

Radial velocity at any radius calculator uses Radial Velocity = Strength of Source/(2*pi*Radius 1) to calculate the Radial Velocity, The Radial velocity at any radius formula is known by considering the terms strength of the source and the radius at any point. Radial Velocity is denoted by u_r symbol.

How to calculate Radial velocity at any radius using this online calculator? To use this online calculator for Radial velocity at any radius, enter Strength of Source (q) & Radius 1 (r₁) and hit the calculate button. Here is how the Radial velocity at any radius calculation can be explained with given input values -> 0.019894 = 1.5/(2*pi*12).

FAQ

What is Radial velocity at any radius?

The Radial velocity at any radius formula is known by considering the terms strength of the source and the radius at any point and is represented as u_r = q/(2*pi*r₁) or Radial Velocity = Strength of Source/(2*pi*Radius 1). The Strength of source, q is defined as the volume flow rate per unit depth of the fluid & Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.

How to calculate Radial velocity at any radius?

The Radial velocity at any radius formula is known by considering the terms strength of the source and the radius at any point is calculated using Radial Velocity = Strength of Source/(2*pi*Radius 1). To calculate Radial velocity at any radius, you need Strength of Source (q) & Radius 1 (r₁). With our tool, you need to enter the respective value for Strength of Source & Radius 1 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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