Location of stagnation point on x-axis Calculator

✖Distance from end A is the distance of the concentrated load from end A.ⓘ Distance From End A [a']			+10% -10%
✖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 Uniform flow velocity is considered in flow past a half body.ⓘ Uniform Flow Velocity [U]			+10% -10%

✖The Distance of stagnation point is from the origin O along the x-axis.ⓘ Location of stagnation point on x-axis [x_s]

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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))
x_s = 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

x_s = a'*sqrt(1+q/(pi*a'*U)) --> 0.5*sqrt(1+1.5/(pi*0.5*9))

Evaluating ... ...

x_s = 0.525857227628041

STEP 3: Convert Result to Output's Unit

0.525857227628041 Meter --> No Conversion Required

FINAL ANSWER

0.525857227628041 ≈ 0.525857 Meter <-- Distance of Stagnation Point

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

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< Incompressible Flow Characteristics Calculators

Stream function at point

LaTeX Go Stream Function = -(Strength of Doublet/(2*pi))*(Length Y/((Length X^2)+(Length Y^2)))

Radius at any point considering radial velocity

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

Radial velocity at any radius

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

Strength of source for radial velocity and at any radius

LaTeX Go Strength of Source = Radial Velocity*2*pi*Radius 1

Location of stagnation point on x-axis Formula

LaTeX Go

Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity))
x_s = 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 x_s 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 x_s = 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.

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