Stream function in sink flow for angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stream Function = (Strength of Source/(2*pi))*(Angle A)
ψ = (q/(2*pi))*(∠A)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Stream Function - (Measured in Square Meter per Second) - The Stream Function is defined as the quantity of fluid moving across some convenient imaginary line.
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.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
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
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ψ = (q/(2*pi))*(∠A) --> (1.5/(2*pi))*(0.5235987755982)
Evaluating ... ...
ψ = 0.124999999999976
STEP 3: Convert Result to Output's Unit
0.124999999999976 Square Meter per Second --> No Conversion Required
FINAL ANSWER
0.124999999999976 0.125 Square Meter per Second <-- Stream Function
(Calculation completed in 00.004 seconds)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Vinay Mishra
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

Stream function in sink flow for angle Formula

Stream Function = (Strength of Source/(2*pi))*(Angle A)
ψ = (q/(2*pi))*(∠A)

What is stream function?

A family of curves ψ = constant represents "streamlines," hence, the stream function remains constant along a streamline. The stream function represents a particular case of a vector potential of velocity, related to velocity by the equality.

What is source flow?

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

How to Calculate Stream function in sink flow for angle?

Stream function in sink flow for angle calculator uses Stream Function = (Strength of Source/(2*pi))*(Angle A) to calculate the Stream Function, The Stream function in sink flow for angle formula is defined from the source flow considering the source of strength and the angle is taken in radians. Stream Function is denoted by ψ symbol.

How to calculate Stream function in sink flow for angle using this online calculator? To use this online calculator for Stream function in sink flow for angle, enter Strength of Source (q) & Angle A (∠A) and hit the calculate button. Here is how the Stream function in sink flow for angle calculation can be explained with given input values -> 0.125 = (1.5/(2*pi))*(0.5235987755982).

FAQ

What is Stream function in sink flow for angle?
The Stream function in sink flow for angle formula is defined from the source flow considering the source of strength and the angle is taken in radians and is represented as ψ = (q/(2*pi))*(∠A) or Stream Function = (Strength of Source/(2*pi))*(Angle A). The Strength of source, q is defined as the volume flow rate per unit depth of the fluid & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Stream function in sink flow for angle?
The Stream function in sink flow for angle formula is defined from the source flow considering the source of strength and the angle is taken in radians is calculated using Stream Function = (Strength of Source/(2*pi))*(Angle A). To calculate Stream function in sink flow for angle, you need Strength of Source (q) & Angle A (∠A). With our tool, you need to enter the respective value for Strength of Source & Angle A 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 Stream Function?
In this formula, Stream Function uses Strength of Source & Angle A. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Stream Function = -(Strength of Doublet/(2*pi))*(Length y/((Length X^2)+(Length y^2)))
  • Stream Function = (Uniform Flow Velocity*Distance from End A*sin(Angle A))+((Strength of Source/(2*pi))*Angle A)
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