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Pressure Gradient given Velocity at any point in Cylindrical Element Formula

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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. Check FAQs

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

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

Pressure Gradient given Velocity at any point in Cylindrical Element Example

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

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

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

-17.0199 = \frac{353}{(\frac{1}{4 \cdot 10.2}) \cdot ((138^{2}) - ({9.2}^{2}))}

-17.0199N/m³ = \frac{353m/s}{(\frac{1}{4 \cdot 10.2P}) \cdot (({138mm}^{2}) - ({9.2m}^{2}))}

-17.0199 = \frac{353}{(\frac{1}{4 \cdot 10.2}) \cdot ((138^{2}) - ({9.2}^{2}))}

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Pressure Gradient given Velocity at any point in Cylindrical Element Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dp|dr = \frac{353m/s}{(\frac{1}{4 \cdot 10.2P}) \cdot (({138mm}^{2}) - ({9.2m}^{2}))}

Next Step Convert Units

∴

dp|dr = \frac{353m/s}{(\frac{1}{4 \cdot 1.02Pa*s}) \cdot (({0.138m}^{2}) - ({9.2m}^{2}))}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{353}{(\frac{1}{4 \cdot 1.02}) \cdot (({0.138}^{2}) - ({9.2}^{2}))}

Next Step Evaluate

∴

dp|dr = -17.0198975298743N/m³

LAST Step Rounding Answer

∴

dp|dr = -17.0199N/m³

Pressure Gradient given Velocity at any point in Cylindrical Element Formula Elements

Variables

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 can be positive or negative.

Formulas to find Pressure Gradient

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

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 Pressure Gradient category

Go Pressure Gradient given Shear Stress at any Cylindrical Element

dp|dr = 2 \cdot \frac{𝜏}{d radial}

Go Pressure Gradient given Maximum Shear Stress at Cylindrical Element

dp|dr = \frac{2 \cdot 𝜏 max}{R}

Go Pressure Gradient given Velocity Gradient at Cylindrical Element

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

Go Pressure Gradient given Maximum Velocity at Axis of Cylindrical Element

dp|dr = \frac{4 \cdot μ}{R^{2}}

How to Evaluate Pressure Gradient given Velocity at any point in Cylindrical Element?

Pressure Gradient given Velocity at any point in Cylindrical Element evaluator uses Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2))) to evaluate the Pressure Gradient, The Pressure Gradient given Velocity at any point in Cylindrical Element is defined as the variation of pressure with respect to the length of the pipe. Pressure Gradient is denoted by dp|dr symbol.

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

FAQs on Pressure Gradient given Velocity at any point in Cylindrical Element

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

The formula of Pressure Gradient given Velocity at any point in Cylindrical Element is expressed as Pressure Gradient = Fluid Velocity/((1/(4*Dynamic Viscosity))*((Radius of pipe^2)-(Radial Distance^2))). Here is an example- -17.019898 = 353/((1/(4*1.02))*((0.138^2)-(9.2^2))).

How to calculate Pressure Gradient given Velocity at any point in Cylindrical Element?

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

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

Yes, the Pressure Gradient given Velocity at any point in Cylindrical Element, measured in Pressure Gradient can be negative.

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

Pressure Gradient given Velocity at any point in Cylindrical Element is usually measured using the Newton per Cubic Meter[N/m³] for Pressure Gradient. Newton per Cubic Inch[N/m³], Kilonewton per Cubic Kilometer[N/m³], Newton per Cubic Kilometer[N/m³] are the few other units in which Pressure Gradient given Velocity at any point in Cylindrical Element can be measured.

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Pressure Gradient given Velocity at any point in Cylindrical Element Formula

Pressure Gradient given Velocity at any point in Cylindrical Element Example

Pressure Gradient given Velocity at any point in Cylindrical Element Solution

Pressure Gradient given Velocity at any point in Cylindrical Element Formula Elements

Other formulas in Pressure Gradient category

How to Evaluate Pressure Gradient given Velocity at any point in Cylindrical Element?

FAQs on Pressure Gradient given Velocity at any point in Cylindrical Element

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