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Pressure Gradient given Shear Stress at any Cylindrical Element Formula

GoPressure Gradient given Maximum Shear Stress at Cylindrical Element Formula

GoPressure Gradient given Velocity Gradient at 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 = 2 \cdot \frac{𝜏}{d radial}

dp|dr - Pressure Gradient?𝜏 - Shear Stress?d_radial - Radial Distance?

Pressure Gradient given Shear Stress at any Cylindrical Element Example

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

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

Here is how the Pressure Gradient given Shear Stress at any Cylindrical Element equation looks like.

20.2391 = 2 \cdot \frac{93.1}{9.2}

20.2391N/m³ = 2 \cdot \frac{93.1Pa}{9.2m}

20.2391 = 2 \cdot \frac{93.1}{9.2}

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Pressure Gradient given Shear Stress at any Cylindrical Element Solution

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

FIRST Step Consider the formula

dp|dr = 2 \cdot \frac{𝜏}{d radial}

Next Step Substitute values of Variables

∴

dp|dr = 2 \cdot \frac{93.1Pa}{9.2m}

Next Step Prepare to Evaluate

∴

dp|dr = 2 \cdot \frac{93.1}{9.2}

Next Step Evaluate

∴

dp|dr = 20.2391304347826N/m³

LAST Step Rounding Answer

∴

dp|dr = 20.2391N/m³

Pressure Gradient given Shear Stress at any 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 should be greater than 0.

Formulas to find Pressure Gradient

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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 to find Pressure Gradient

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}}

Go Pressure Gradient given Discharge through Pipe

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

Other formulas in Pressure Gradient category

Go Pressure Gradient given Velocity at any point in Cylindrical Element

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

How to Evaluate Pressure Gradient given Shear Stress at any Cylindrical Element?

Pressure Gradient given Shear Stress at any Cylindrical Element evaluator uses Pressure Gradient = 2*Shear Stress/Radial Distance to evaluate the Pressure Gradient, The Pressure Gradient given Shear Stress at any Cylindrical Element is defined as variation of pressure with length of pipe. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Shear Stress at any Cylindrical Element using this online evaluator? To use this online evaluator for Pressure Gradient given Shear Stress at any Cylindrical Element, enter Shear Stress (𝜏) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Pressure Gradient given Shear Stress at any Cylindrical Element

What is the formula to find Pressure Gradient given Shear Stress at any Cylindrical Element?

The formula of Pressure Gradient given Shear Stress at any Cylindrical Element is expressed as Pressure Gradient = 2*Shear Stress/Radial Distance. Here is an example- 20.23913 = 2*93.1/9.2.

How to calculate Pressure Gradient given Shear Stress at any Cylindrical Element?

With Shear Stress (𝜏) & Radial Distance (d_radial) we can find Pressure Gradient given Shear Stress at any Cylindrical Element using the formula - Pressure Gradient = 2*Shear Stress/Radial Distance.

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

Pressure Gradient=(2*Maximum Shear Stress on Shaft)/Radius of pipe
Pressure Gradient=2*Dynamic Viscosity*Velocity Gradient/Radial Distance
Pressure Gradient=(4*Dynamic Viscosity)/(Radius of pipe^2)

Can the Pressure Gradient given Shear Stress at any Cylindrical Element be negative?

No, the Pressure Gradient given Shear Stress at any Cylindrical Element, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient given Shear Stress at any Cylindrical Element?

Pressure Gradient given Shear Stress at any 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 Shear Stress at any Cylindrical Element can be measured.

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