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Velocity at any point in Cylindrical Element Formula

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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). Check FAQs

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

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

Velocity at any point in Cylindrical Element Example

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Here is how the Velocity at any point in Cylindrical Element equation looks like with Values.

Here is how the Velocity at any point in Cylindrical Element equation looks like with Units.

Here is how the Velocity at any point in Cylindrical Element equation looks like.

352.5873 = - (\frac{1}{4 \cdot 10.2}) \cdot 17 \cdot ((138^{2}) - ({9.2}^{2}))

352.5873m/s = - (\frac{1}{4 \cdot 10.2P}) \cdot 17N/m³ \cdot (({138mm}^{2}) - ({9.2m}^{2}))

352.5873 = - (\frac{1}{4 \cdot 10.2}) \cdot 17 \cdot ((138^{2}) - ({9.2}^{2}))

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Velocity at any point in Cylindrical Element Solution

Follow our step by step solution on how to calculate Velocity at any point in Cylindrical Element?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v Fluid = - (\frac{1}{4 \cdot 10.2P}) \cdot 17N/m³ \cdot (({138mm}^{2}) - ({9.2m}^{2}))

Next Step Convert Units

∴

v Fluid = - (\frac{1}{4 \cdot 1.02Pa*s}) \cdot 17N/m³ \cdot (({0.138m}^{2}) - ({9.2m}^{2}))

Next Step Prepare to Evaluate

∴

v Fluid = - (\frac{1}{4 \cdot 1.02}) \cdot 17 \cdot (({0.138}^{2}) - ({9.2}^{2}))

Next Step Evaluate

∴

v Fluid = 352.587316666667m/s

LAST Step Rounding Answer

∴

v Fluid = 352.5873m/s

Velocity at any point in Cylindrical Element Formula Elements

Variables

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

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

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

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

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

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Go Shear Stress at any Cylindrical Element given Head Loss

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

Go Distance of Element from Center Line given Head Loss

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

How to Evaluate Velocity at any point in Cylindrical Element?

Velocity at any point in Cylindrical Element evaluator uses Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)) to evaluate the Fluid Velocity, The Velocity at any point in Cylindrical Element formula is defined as rate at which fluid into the pipe forming a parabolic profile. Fluid Velocity is denoted by v_Fluid symbol.

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

FAQs on Velocity at any point in Cylindrical Element

What is the formula to find Velocity at any point in Cylindrical Element?

The formula of Velocity at any point in Cylindrical Element is expressed as Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)). Here is an example- 352.5873 = -(1/(4*1.02))*17*((0.138^2)-(9.2^2)).

How to calculate Velocity at any point in Cylindrical Element?

With Dynamic Viscosity (μ), Pressure Gradient (dp|dr), Radius of pipe (R) & Radial Distance (d_radial) we can find Velocity at any point in Cylindrical Element using the formula - Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)).

Can the Velocity at any point in Cylindrical Element be negative?

Yes, the Velocity at any point in Cylindrical Element, measured in Speed can be negative.

Which unit is used to measure Velocity at any point in Cylindrical Element?

Velocity at any point in Cylindrical Element is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity at any point in Cylindrical Element can be measured.

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Velocity at any point in Cylindrical Element Formula

Velocity at any point in Cylindrical Element Example

Velocity at any point in Cylindrical Element Solution

Velocity at any point in Cylindrical Element Formula Elements

Other formulas in Steady Laminar Flow in Circular Pipes category

How to Evaluate Velocity at any point in Cylindrical Element?

FAQs on Velocity at any point in Cylindrical Element

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