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Pressure Gradient given Maximum Shear Stress at Cylindrical Element Formula

GoPressure Gradient given Shear Stress at any 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 = \frac{2 \cdot 𝜏 max}{R}

dp|dr - Pressure Gradient?𝜏_max - Maximum Shear Stress on Shaft?R - Radius of pipe?

Pressure Gradient given Maximum Shear Stress at Cylindrical Element Example

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

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

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

1449.2754 = \frac{2 \cdot 0.0001}{138}

1449.2754N/m³ = \frac{2 \cdot 0.0001MPa}{138mm}

1449.2754 = \frac{2 \cdot 0.0001}{138}

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Pressure Gradient given Maximum Shear Stress at Cylindrical Element Solution

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

FIRST Step Consider the formula

dp|dr = \frac{2 \cdot 𝜏 max}{R}

Next Step Substitute values of Variables

∴

dp|dr = \frac{2 \cdot 0.0001MPa}{138mm}

Next Step Convert Units

∴

dp|dr = \frac{2 \cdot 100Pa}{0.138m}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{2 \cdot 100}{0.138}

Next Step Evaluate

∴

dp|dr = 1449.27536231884N/m³

LAST Step Rounding Answer

∴

dp|dr = 1449.2754N/m³

Pressure Gradient given Maximum Shear Stress at 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

Maximum Shear Stress on Shaft

The Maximum Shear Stress on Shaft occurs due to torsional forces acting on it. This stress is highest at the outer surface of the shaft and decreases towards the center.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Shaft

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

Other Formulas to find Pressure Gradient

Go Pressure Gradient given Shear Stress at any Cylindrical Element

dp|dr = 2 \cdot \frac{𝜏}{d radial}

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 Maximum Shear Stress at Cylindrical Element?

Pressure Gradient given Maximum Shear Stress at Cylindrical Element evaluator uses Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe to evaluate the Pressure Gradient, The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Maximum Shear Stress at Cylindrical Element using this online evaluator? To use this online evaluator for Pressure Gradient given Maximum Shear Stress at Cylindrical Element, enter Maximum Shear Stress on Shaft (𝜏_max) & Radius of pipe (R) and hit the calculate button.

FAQs on Pressure Gradient given Maximum Shear Stress at Cylindrical Element

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

The formula of Pressure Gradient given Maximum Shear Stress at Cylindrical Element is expressed as Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe. Here is an example- 1449.275 = (2*100)/0.138.

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

With Maximum Shear Stress on Shaft (𝜏_max) & Radius of pipe (R) we can find Pressure Gradient given Maximum Shear Stress at Cylindrical Element using the formula - Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Radius of pipe.

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

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

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

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

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

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

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