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Location of stagnation point on x-axis Formula

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The Distance of stagnation point is from the origin O along the x-axis. Check FAQs

x s = a' \cdot \sqrt{1 + \frac{q}{π \cdot a' \cdot U}}

x_s - Distance of Stagnation Point?a' - Distance From End A?q - Strength of Source?U - Uniform Flow Velocity?π - Archimedes' constant?

Location of stagnation point on x-axis Example

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Here is how the Location of stagnation point on x-axis equation looks like with Values.

Here is how the Location of stagnation point on x-axis equation looks like with Units.

Here is how the Location of stagnation point on x-axis equation looks like.

0.5259 = 0.5 \cdot \sqrt{1 + \frac{1.5}{3.1416 \cdot 0.5 \cdot 9}}

0.5259m = 0.5m \cdot \sqrt{1 + \frac{1.5m²/s}{3.1416 \cdot 0.5m \cdot 9m/s}}

0.5259 = 0.5 \cdot \sqrt{1 + \frac{1.5}{3.1416 \cdot 0.5 \cdot 9}}

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Location of stagnation point on x-axis Solution

Follow our step by step solution on how to calculate Location of stagnation point on x-axis?

FIRST Step Consider the formula

x s = a' \cdot \sqrt{1 + \frac{q}{π \cdot a' \cdot U}}

Next Step Substitute values of Variables

∴

x s = 0.5m \cdot \sqrt{1 + \frac{1.5m²/s}{π \cdot 0.5m \cdot 9m/s}}

Next Step Substitute values of Constants

∴

x s = 0.5m \cdot \sqrt{1 + \frac{1.5m²/s}{3.1416 \cdot 0.5m \cdot 9m/s}}

Next Step Prepare to Evaluate

∴

x s = 0.5 \cdot \sqrt{1 + \frac{1.5}{3.1416 \cdot 0.5 \cdot 9}}

Next Step Evaluate

∴

x s = 0.525857227628041m

LAST Step Rounding Answer

∴

x s = 0.5259m

Location of stagnation point on x-axis Formula Elements

Variables

Constants

Functions

Distance of Stagnation Point

The Distance of stagnation point is from the origin O along the x-axis.

Symbol: x_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance of Stagnation Point

Distance From End A

Distance from end A is the distance of the concentrated load from end A.

Symbol: a'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance From End A

Strength of Source

The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Strength of Source

Uniform Flow Velocity

The Uniform flow velocity is considered in flow past a half body.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Uniform Flow Velocity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Incompressible Flow Characteristics category

Go Radial velocity at any radius

V r = \frac{q}{2 \cdot π \cdot r 1}

Go Strength of source for radial velocity and at any radius

q = V r \cdot 2 \cdot π \cdot r 1

Go Radius at any point considering radial velocity

r 1 = \frac{q}{2 \cdot π \cdot V r}

Go Stream function at point

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

How to Evaluate Location of stagnation point on x-axis?

Location of stagnation point on x-axis evaluator uses Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)) to evaluate 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 evaluate Location of stagnation point on x-axis using this online evaluator? To use this online evaluator 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.

FAQs on Location of stagnation point on x-axis

What is the formula to find Location of stagnation point on x-axis?

The formula of Location of stagnation point on x-axis is expressed as Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)). Here is an example- 0.525857 = 0.5*sqrt(1+1.5/(pi*0.5*9)).

How to calculate Location of stagnation point on x-axis?

With Distance From End A (a'), Strength of Source (q) & Uniform Flow Velocity (U) we can find Location of stagnation point on x-axis using the formula - Distance of Stagnation Point = Distance From End A*sqrt(1+Strength of Source/(pi*Distance From End A*Uniform Flow Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Location of stagnation point on x-axis be negative?

Yes, the Location of stagnation point on x-axis, measured in Length can be negative.

Which unit is used to measure Location of stagnation point on x-axis?

Location of stagnation point on x-axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Location of stagnation point on x-axis can be measured.

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Location of stagnation point on x-axis Formula

Location of stagnation point on x-axis Example

Location of stagnation point on x-axis Solution

Location of stagnation point on x-axis Formula Elements

Other formulas in Incompressible Flow Characteristics category

How to Evaluate Location of stagnation point on x-axis?

FAQs on Location of stagnation point on x-axis

Variable Name