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Distance of Element from Center Line given Velocity at any point in Cylindrical Element Formula

GoDistance of Element from Center line given Shear Stress at any Cylindrical Element Formula

GoDistance of Element from Center Line given Head Loss Formula

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The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system. Check FAQs

d radial = \sqrt{(R^{2}) - (- 4 \cdot μ \cdot \frac{v Fluid}{dp|dr})}

d_radial - Radial Distance?R - Radius of pipe?μ - Dynamic Viscosity?v_Fluid - Fluid Velocity?dp|dr - Pressure Gradient?

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Example

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Here is how the Distance of Element from Center Line given Velocity at any point in Cylindrical Element equation looks like with Values.

Here is how the Distance of Element from Center Line given Velocity at any point in Cylindrical Element equation looks like with Units.

Here is how the Distance of Element from Center Line given Velocity at any point in Cylindrical Element equation looks like.

9.2054 = \sqrt{(138^{2}) - (- 4 \cdot 10.2 \cdot \frac{353}{17})}

9.2054m = \sqrt{({138mm}^{2}) - (- 4 \cdot 10.2P \cdot \frac{353m/s}{17N/m³})}

9.2054 = \sqrt{(138^{2}) - (- 4 \cdot 10.2 \cdot \frac{353}{17})}

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Distance of Element from Center Line given Velocity at any point in Cylindrical Element Solution

Follow our step by step solution on how to calculate Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

FIRST Step Consider the formula

d radial = \sqrt{(R^{2}) - (- 4 \cdot μ \cdot \frac{v Fluid}{dp|dr})}

Next Step Substitute values of Variables

∴

d radial = \sqrt{({138mm}^{2}) - (- 4 \cdot 10.2P \cdot \frac{353m/s}{17N/m³})}

Next Step Convert Units

∴

d radial = \sqrt{({0.138m}^{2}) - (- 4 \cdot 1.02Pa*s \cdot \frac{353m/s}{17N/m³})}

Next Step Prepare to Evaluate

∴

d radial = \sqrt{({0.138}^{2}) - (- 4 \cdot 1.02 \cdot \frac{353}{17})}

Next Step Evaluate

∴

d radial = 9.20538125228934m

LAST Step Rounding Answer

∴

d radial = 9.2054m

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Formula Elements

Variables

Functions

Radial Distance

The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of pipe

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Fluid Velocity

The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).

Symbol: v_Fluid

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

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 to find Radial Distance

Go Distance of Element from Center line given Shear Stress at any Cylindrical Element

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Go Distance of Element from Center Line given Head Loss

d radial = 2 \cdot 𝜏 \cdot \frac{L p}{h \cdot γ f}

Go Distance of Element from Center Line given Velocity Gradient at Cylindrical Element

d radial = 2 \cdot μ \cdot \frac{V G}{dp|dr}

Other formulas in Steady Laminar Flow in Circular Pipes category

Go Shear Stress at any Cylindrical Element

𝜏 = dp|dr \cdot \frac{d radial}{2}

Go Shear Stress at any Cylindrical Element given Head Loss

𝜏 = \frac{γ f \cdot h \cdot d radial}{2 \cdot L p}

Go Velocity Gradient given Pressure Gradient at Cylindrical Element

V G = (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot d radial

Go Velocity at any point in Cylindrical Element

v Fluid = - (\frac{1}{4 \cdot μ}) \cdot dp|dr \cdot ((R^{2}) - ({d radial}^{2}))

How to Evaluate Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

Distance of Element from Center Line given Velocity at any point in Cylindrical Element evaluator uses Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)) to evaluate the Radial Distance, The Distance of Element from Center Line given Velocity at any point in Cylindrical Element formula is defined as the radius of the elemental section. Radial Distance is denoted by d_radial symbol.

How to evaluate Distance of Element from Center Line given Velocity at any point in Cylindrical Element using this online evaluator? To use this online evaluator for Distance of Element from Center Line given Velocity at any point in Cylindrical Element, enter Radius of pipe (R), Dynamic Viscosity (μ), Fluid Velocity (v_Fluid) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Distance of Element from Center Line given Velocity at any point in Cylindrical Element

What is the formula to find Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

The formula of Distance of Element from Center Line given Velocity at any point in Cylindrical Element is expressed as Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)). Here is an example- 8.486403 = sqrt((0.138^2)-(-4*1.02*353/17)).

How to calculate Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

With Radius of pipe (R), Dynamic Viscosity (μ), Fluid Velocity (v_Fluid) & Pressure Gradient (dp|dr) we can find Distance of Element from Center Line given Velocity at any point in Cylindrical Element using the formula - Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Radial Distance?

Here are the different ways to Calculate Radial Distance-

Radial Distance=2*Shear Stress/Pressure Gradient
Radial Distance=2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
Radial Distance=2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient

Can the Distance of Element from Center Line given Velocity at any point in Cylindrical Element be negative?

Yes, the Distance of Element from Center Line given Velocity at any point in Cylindrical Element, measured in Length can be negative.

Which unit is used to measure Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

Distance of Element from Center Line given Velocity at any point in Cylindrical Element is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance of Element from Center Line given Velocity at any point in Cylindrical Element can be measured.

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Distance of Element from Center Line given Velocity at any point in Cylindrical Element Formula

​GoDistance of Element from Center line given Shear Stress at any Cylindrical Element Formula

​GoDistance of Element from Center Line given Head Loss Formula

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Example

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Solution

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Formula Elements

Other Formulas to find Radial Distance

Other formulas in Steady Laminar Flow in Circular Pipes category

How to Evaluate Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

FAQs on Distance of Element from Center Line given Velocity at any point in Cylindrical Element

Variable Name

GoDistance of Element from Center line given Shear Stress at any Cylindrical Element Formula

GoDistance of Element from Center Line given Head Loss Formula