Radius at any point considering radial velocity Calculator

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Incompressible Flow Characteristics

Assorted Characteristics

✖The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.ⓘ Strength of Source [q]			+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 [V_r]			+10% -10%

✖Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.ⓘ Radius at any point considering radial velocity [r₁]

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Formula

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Radius at any point considering radial velocity

Formula

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

Example

`"23.87324m"="1.5m²/s"/(2*pi*"0.01m/s")`

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Radius at any point considering radial velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius 1 - (Measured in Meter) - Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.
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.

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
Radial Velocity: 0.01 Meter per Second --> 0.01 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r₁ = q/(2*pi*V_r) --> 1.5/(2*pi*0.01)

Evaluating ... ...

r₁ = 23.8732414637843

STEP 3: Convert Result to Output's Unit

23.8732414637843 Meter --> No Conversion Required

FINAL ANSWER

23.8732414637843 ≈ 23.87324 Meter <-- Radius 1

(Calculation completed in 00.012 seconds)

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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

Radius at any point considering radial velocity Formula

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

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 Radius at any point considering radial velocity?

Radius at any point considering radial velocity calculator uses Radius 1 = Strength of Source/(2*pi*Radial Velocity) to calculate the Radius 1, The Radius at any point considering radial velocity is known by considering the terms strength of the source and radial velocity from the source flow relation. Radius 1 is denoted by r₁ symbol.

How to calculate Radius at any point considering radial velocity using this online calculator? To use this online calculator for Radius at any point considering radial velocity, enter Strength of Source (q) & Radial Velocity (V_r) and hit the calculate button. Here is how the Radius at any point considering radial velocity calculation can be explained with given input values -> 0.039789 = 1.5/(2*pi*0.01).

FAQ

What is Radius at any point considering radial velocity?

The Radius at any point considering radial velocity is known by considering the terms strength of the source and radial velocity from the source flow relation and is represented as r₁ = q/(2*pi*V_r) or Radius 1 = Strength of Source/(2*pi*Radial Velocity). The Strength of source, q is defined as the volume flow rate per unit depth of the fluid & 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.

How to calculate Radius at any point considering radial velocity?

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