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Velocity Gradient given Pressure Gradient at Cylindrical Element Formula

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The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid. Check FAQs

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

V_G - Velocity Gradient?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?d_radial - Radial Distance?

Velocity Gradient given Pressure Gradient at Cylindrical Element Example

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Here is how the Velocity Gradient given Pressure Gradient at Cylindrical Element equation looks like with Values.

Here is how the Velocity Gradient given Pressure Gradient at Cylindrical Element equation looks like with Units.

Here is how the Velocity Gradient given Pressure Gradient at Cylindrical Element equation looks like.

76.6667 = (\frac{1}{2 \cdot 10.2}) \cdot 17 \cdot 9.2

76.6667m/s = (\frac{1}{2 \cdot 10.2P}) \cdot 17N/m³ \cdot 9.2m

76.6667 = (\frac{1}{2 \cdot 10.2}) \cdot 17 \cdot 9.2

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Velocity Gradient given Pressure Gradient at Cylindrical Element Solution

Follow our step by step solution on how to calculate Velocity Gradient given Pressure Gradient at Cylindrical Element?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V G = (\frac{1}{2 \cdot 10.2P}) \cdot 17N/m³ \cdot 9.2m

Next Step Convert Units

∴

V G = (\frac{1}{2 \cdot 1.02Pa*s}) \cdot 17N/m³ \cdot 9.2m

Next Step Prepare to Evaluate

∴

V G = (\frac{1}{2 \cdot 1.02}) \cdot 17 \cdot 9.2

Next Step Evaluate

∴

V G = 76.6666666666666m/s

LAST Step Rounding Answer

∴

V G = 76.6667m/s

Velocity Gradient given Pressure Gradient at Cylindrical Element Formula Elements

Variables

Velocity Gradient

The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.

Symbol: V_G

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Gradient

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

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 Gradient given Pressure Gradient at Cylindrical Element?

Velocity Gradient given Pressure Gradient at Cylindrical Element evaluator uses Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance to evaluate the Velocity Gradient, The Velocity Gradient given Pressure Gradient at Cylindrical Element formula is defined as variation of velocity with respect to radius of pipe. Velocity Gradient is denoted by V_G symbol.

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

FAQs on Velocity Gradient given Pressure Gradient at Cylindrical Element

What is the formula to find Velocity Gradient given Pressure Gradient at Cylindrical Element?

The formula of Velocity Gradient given Pressure Gradient at Cylindrical Element is expressed as Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance. Here is an example- 76.66667 = (1/(2*1.02))*17*9.2.

How to calculate Velocity Gradient given Pressure Gradient at Cylindrical Element?

With Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial) we can find Velocity Gradient given Pressure Gradient at Cylindrical Element using the formula - Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance.

Can the Velocity Gradient given Pressure Gradient at Cylindrical Element be negative?

No, the Velocity Gradient given Pressure Gradient at Cylindrical Element, measured in Speed cannot be negative.

Which unit is used to measure Velocity Gradient given Pressure Gradient at Cylindrical Element?

Velocity Gradient given Pressure Gradient at 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 Gradient given Pressure Gradient at Cylindrical Element can be measured.

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Velocity Gradient given Pressure Gradient at Cylindrical Element Formula

Velocity Gradient given Pressure Gradient at Cylindrical Element Example

Velocity Gradient given Pressure Gradient at Cylindrical Element Solution

Velocity Gradient given Pressure Gradient at Cylindrical Element Formula Elements

Other formulas in Steady Laminar Flow in Circular Pipes category

How to Evaluate Velocity Gradient given Pressure Gradient at Cylindrical Element?

FAQs on Velocity Gradient given Pressure Gradient at Cylindrical Element

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