Strength of source for radial velocity and at any radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strength of Source = Radial Velocity*2*pi*Radius 1
q = Vr*2*pi*r1
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Radial Velocity: 0.01 Meter per Second --> 0.01 Meter per Second No Conversion Required
Radius 1: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = Vr*2*pi*r1 --> 0.01*2*pi*12
Evaluating ... ...
q = 0.75398223686155
STEP 3: Convert Result to Output's Unit
0.75398223686155 Square Meter per Second --> No Conversion Required
FINAL ANSWER
0.75398223686155 0.753982 Square Meter per Second <-- Strength of Source
(Calculation completed in 00.004 seconds)

Credits

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PSG College of Technology (PSGCT), Coimbatore
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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

Strength of source for radial velocity and at any radius Formula

Strength of Source = Radial Velocity*2*pi*Radius 1
q = Vr*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 Strength of source for radial velocity and at any radius?

Strength of source for radial velocity and at any radius calculator uses Strength of Source = Radial Velocity*2*pi*Radius 1 to calculate the Strength of Source, The Strength of source for radial velocity and at any radius is known from the source flow relation. It defined as the volume flow rate per unit depth. Strength of Source is denoted by q symbol.

How to calculate Strength of source for radial velocity and at any radius using this online calculator? To use this online calculator for Strength of source for radial velocity and at any radius, enter Radial Velocity (Vr) & Radius 1 (r1) and hit the calculate button. Here is how the Strength of source for radial velocity and at any radius calculation can be explained with given input values -> 452.3893 = 0.01*2*pi*12.

FAQ

What is Strength of source for radial velocity and at any radius?
The Strength of source for radial velocity and at any radius is known from the source flow relation. It defined as the volume flow rate per unit depth and is represented as q = Vr*2*pi*r1 or Strength of Source = Radial Velocity*2*pi*Radius 1. 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 & Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.
How to calculate Strength of source for radial velocity and at any radius?
The Strength of source for radial velocity and at any radius is known from the source flow relation. It defined as the volume flow rate per unit depth is calculated using Strength of Source = Radial Velocity*2*pi*Radius 1. To calculate Strength of source for radial velocity and at any radius, you need Radial Velocity (Vr) & Radius 1 (r1). With our tool, you need to enter the respective value for Radial Velocity & Radius 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Strength of Source?
In this formula, Strength of Source uses Radial Velocity & Radius 1. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Strength of Source = (Length y*2*Uniform Flow Velocity)/(1-(Angle A/pi))
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