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Radius of Pipe given Velocity at any Point in Cylindrical Element Formula

GoRadius of Pipe given Maximum Shear Stress at Cylindrical Element Formula

GoRadius of Pipe for Maximum Velocity at Axis of Cylindrical Element Formula

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

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

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

Radius of Pipe given Velocity at any Point in Cylindrical Element Example

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Here is how the Radius of Pipe given Velocity at any Point in Cylindrical Element equation looks like with Values.

Here is how the Radius of Pipe given Velocity at any Point in Cylindrical Element equation looks like with Units.

Here is how the Radius of Pipe given Velocity at any Point in Cylindrical Element equation looks like.

9186.9473 = \sqrt{(- 4 \cdot \frac{10.2}{17}) + ({9.2}^{2})}

9186.9473mm = \sqrt{(- 4 \cdot \frac{10.2P}{17N/m³}) + ({9.2m}^{2})}

9186.9473 = \sqrt{(- 4 \cdot \frac{10.2}{17}) + ({9.2}^{2})}

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Radius of Pipe given Velocity at any Point in Cylindrical Element Solution

Follow our step by step solution on how to calculate Radius of Pipe given Velocity at any Point in Cylindrical Element?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = \sqrt{(- 4 \cdot \frac{10.2P}{17N/m³}) + ({9.2m}^{2})}

Next Step Convert Units

∴

R = \sqrt{(- 4 \cdot \frac{1.02Pa*s}{17N/m³}) + ({9.2m}^{2})}

Next Step Prepare to Evaluate

∴

R = \sqrt{(- 4 \cdot \frac{1.02}{17}) + ({9.2}^{2})}

Next Step Evaluate

∴

R = 9.18694726228468m

Next Step Convert to Output's Unit

∴

R = 9186.94726228468mm

LAST Step Rounding Answer

∴

R = 9186.9473mm

Radius of Pipe given Velocity at any Point in Cylindrical Element Formula Elements

Variables

Functions

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

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

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

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 Radius of pipe

Go Radius of Pipe given Maximum Shear Stress at Cylindrical Element

R = 2 \cdot \frac{𝜏 max}{dp|dr}

Go Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element

R = \sqrt{\frac{4 \cdot μ}{dp|dr}}

Go Radius of Pipe given Discharge through Pipe

R = {(\frac{8 \cdot μ}{π \cdot dp|dr})}^{\frac{1}{4}}

Go Radius of Pipe for Mean Velocity of Flow

R = \sqrt{V mean \cdot 8 \cdot \frac{μ}{dp|dr}}

How to Evaluate Radius of Pipe given Velocity at any Point in Cylindrical Element?

Radius of Pipe given Velocity at any Point in Cylindrical Element evaluator uses Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)) to evaluate the Radius of pipe, The Radius of Pipe given Velocity at any point in Cylindrical Element is defined as the total width of the pipe. Radius of pipe is denoted by R symbol.

How to evaluate Radius of Pipe given Velocity at any Point in Cylindrical Element using this online evaluator? To use this online evaluator for Radius of Pipe given Velocity at any Point in Cylindrical Element, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Radius of Pipe given Velocity at any Point in Cylindrical Element

What is the formula to find Radius of Pipe given Velocity at any Point in Cylindrical Element?

The formula of Radius of Pipe given Velocity at any Point in Cylindrical Element is expressed as Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)). Here is an example- 9.2E+6 = sqrt((-4*1.02/17)+(9.2^2)).

How to calculate Radius of Pipe given Velocity at any Point in Cylindrical Element?

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

What are the other ways to Calculate Radius of pipe?

Here are the different ways to Calculate Radius of pipe-

Radius of pipe=2*Maximum Shear Stress on Shaft/Pressure Gradient
Radius of pipe=sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
Radius of pipe=((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

Can the Radius of Pipe given Velocity at any Point in Cylindrical Element be negative?

No, the Radius of Pipe given Velocity at any Point in Cylindrical Element, measured in Length cannot be negative.

Which unit is used to measure Radius of Pipe given Velocity at any Point in Cylindrical Element?

Radius of Pipe given Velocity at any Point in Cylindrical Element is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Pipe given Velocity at any Point in Cylindrical Element can be measured.

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Radius of Pipe given Velocity at any Point in Cylindrical Element Formula

​GoRadius of Pipe given Maximum Shear Stress at Cylindrical Element Formula

​GoRadius of Pipe for Maximum Velocity at Axis of Cylindrical Element Formula

Radius of Pipe given Velocity at any Point in Cylindrical Element Example

Radius of Pipe given Velocity at any Point in Cylindrical Element Solution

Radius of Pipe given Velocity at any Point in Cylindrical Element Formula Elements

Other Formulas to find Radius of pipe

How to Evaluate Radius of Pipe given Velocity at any Point in Cylindrical Element?

FAQs on Radius of Pipe given Velocity at any Point in Cylindrical Element

Variable Name

GoRadius of Pipe given Maximum Shear Stress at Cylindrical Element Formula

GoRadius of Pipe for Maximum Velocity at Axis of Cylindrical Element Formula