Radial velocity at any radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Velocity = Strength of Source/(2*pi*Radius 1)
Vr = 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
Vr = q/(2*pi*r1) --> 1.5/(2*pi*12)
Evaluating ... ...
Vr = 0.0198943678864869
STEP 3: Convert Result to Output's Unit
0.0198943678864869 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0198943678864869 0.019894 Meter per Second <-- Radial Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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23 Incompressible Flow Characteristics 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))))
Temperature Lapse Rate given Gas Constant
Go Temperature Lapse Rate = (-Acceleration Due to Gravity/Universal Gas Constant)*((Specific constant-1)/(Specific constant))
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))
Pressure Head given Density
Go Pressure Head = Pressure above Atmospheric Pressure/(Density of Fluid*Acceleration Due to Gravity)
Radius of Rankine circle
Go Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity))
Pressure at point in piezometer given Mass and Volume
Go Pressure = (Mass of water*Acceleration Due to Gravity*Height of Water above Bottom of Wall)
Height of liquid in piezometer
Go Height of Liquid = Water Pressure/(Water Density*Acceleration Due to Gravity)
Distance of stagnation point S from source in flow past half body
Go Radial Distance = Strength of Source/(2*pi*Uniform Flow Velocity)
Pressure at any point in liquid
Go Pressure = Density*Acceleration Due to Gravity*Pressure Head
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
Hydrostatic law
Go Weight density = Density of Fluid*Acceleration Due to Gravity
Force on Plunger given Intensity
Go Force Acting on Plunger = Pressure Intensity*Area of plunger
Area of plunger
Go Area of plunger = Force Acting on Plunger/Pressure Intensity
Absolute Pressure given Gauge Pressure
Go Absolute Pressure = Gauge Pressure+Atmospheric Pressure

Radial velocity at any radius Formula

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