## Location of stagnation point on x-axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity))
xs = a'*sqrt(1+q/(pi*a'*U))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Distance of Stagnation Point - (Measured in Meter) - The Distance of stagnation point is from the origin O along the x-axis.
Distance From End A - (Measured in Meter) - Distance from end A is the distance of the concentrated load from end A.
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.
Uniform Flow Velocity - (Measured in Meter per Second) - The Uniform flow velocity is considered in flow past a half body.
STEP 1: Convert Input(s) to Base Unit
Distance From End A: 0.5 Meter --> 0.5 Meter No Conversion Required
Strength of Source: 1.5 Square Meter per Second --> 1.5 Square Meter per Second No Conversion Required
Uniform Flow Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xs = a'*sqrt(1+q/(pi*a'*U)) --> 0.5*sqrt(1+1.5/(pi*0.5*9))
Evaluating ... ...
xs = 0.525857227628041
STEP 3: Convert Result to Output's Unit
0.525857227628041 Meter --> No Conversion Required
0.525857227628041 0.525857 Meter <-- Distance of Stagnation Point
(Calculation completed in 00.051 seconds)
You are here -
Home »

## Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

## <Incompressible Flow Characteristics Calculators

Stream function at point
​ Go Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2)))

## Location of stagnation point on x-axis Formula

Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity))
xs = a'*sqrt(1+q/(pi*a'*U))

## What is Rankine Oval body?

A Rankine oval is created by superimposing a uniform flow with a source and a sink. As the distance between the source and sink decreases to zero, the Rankine oval will become more blunt. Eventually, the shape of the Rankine oval will become a circle.

## What is the characteristic of stagnation point?

At stagnation, point velocity is zero, as the fluid comes at rest. This characteristic at the stagnation point. There are two stagnation points are present in a source and sink pair in a uniform flow.

## How to Calculate Location of stagnation point on x-axis?

Location of stagnation point on x-axis calculator uses Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)) to calculate the Distance of Stagnation Point, The Location of stagnation point on x-axis formula is defined from the relation of flow past a Rankine Oval body considering the distance of the stagnation point from origin O along the x-axis, the distance between source and sink. Distance of Stagnation Point is denoted by xs symbol.

How to calculate Location of stagnation point on x-axis using this online calculator? To use this online calculator for Location of stagnation point on x-axis, enter Distance From End A (a'), Strength of Source (q) & Uniform Flow Velocity (U) and hit the calculate button. Here is how the Location of stagnation point on x-axis calculation can be explained with given input values -> 0.525857 = 0.5*sqrt(1+1.5/(pi*0.5*9)).

### FAQ

What is Location of stagnation point on x-axis?
The Location of stagnation point on x-axis formula is defined from the relation of flow past a Rankine Oval body considering the distance of the stagnation point from origin O along the x-axis, the distance between source and sink and is represented as xs = a'*sqrt(1+q/(pi*a'*U)) or Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)). Distance from end A is the distance of the concentrated load from end A, The Strength of source, q is defined as the volume flow rate per unit depth of the fluid & The Uniform flow velocity is considered in flow past a half body.
How to calculate Location of stagnation point on x-axis?
The Location of stagnation point on x-axis formula is defined from the relation of flow past a Rankine Oval body considering the distance of the stagnation point from origin O along the x-axis, the distance between source and sink is calculated using Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)). To calculate Location of stagnation point on x-axis, you need Distance From End A (a'), Strength of Source (q) & Uniform Flow Velocity (U). With our tool, you need to enter the respective value for Distance From End A, Strength of Source & Uniform Flow Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know