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Pressure Gradient given Shear Stress Distribution Profile Formula

GoPressure Gradient given Maximum Velocity between Plates 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{𝜏}{\frac{w}{2} - R}

dp|dr - Pressure Gradient?𝜏 - Shear Stress?w - Width?R - Horizontal Distance?

Pressure Gradient given Shear Stress Distribution Profile Example

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Here is how the Pressure Gradient given Shear Stress Distribution Profile equation looks like with Values.

Here is how the Pressure Gradient given Shear Stress Distribution Profile equation looks like with Units.

Here is how the Pressure Gradient given Shear Stress Distribution Profile equation looks like.

17.2407 = - \frac{93.1}{\frac{3}{2} - 6.9}

17.2407N/m³ = - \frac{93.1Pa}{\frac{3m}{2} - 6.9m}

17.2407 = - \frac{93.1}{\frac{3}{2} - 6.9}

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Pressure Gradient given Shear Stress Distribution Profile Solution

Follow our step by step solution on how to calculate Pressure Gradient given Shear Stress Distribution Profile?

FIRST Step Consider the formula

dp|dr = - \frac{𝜏}{\frac{w}{2} - R}

Next Step Substitute values of Variables

∴

dp|dr = - \frac{93.1Pa}{\frac{3m}{2} - 6.9m}

Next Step Prepare to Evaluate

∴

dp|dr = - \frac{93.1}{\frac{3}{2} - 6.9}

Next Step Evaluate

∴

dp|dr = 17.2407407407407N/m³

LAST Step Rounding Answer

∴

dp|dr = 17.2407N/m³

Pressure Gradient given Shear Stress Distribution Profile 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

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Other Formulas to find Pressure Gradient

Go Pressure Gradient given Maximum Velocity between Plates

dp|dr = \frac{V max \cdot 8 \cdot μ}{w^{2}}

How to Evaluate Pressure Gradient given Shear Stress Distribution Profile?

Pressure Gradient given Shear Stress Distribution Profile evaluator uses Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance) to evaluate the Pressure Gradient, The Pressure Gradient given Shear Stress Distribution Profile formula is defined as change in pressure with respect to horizontal distance in pipe length. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Shear Stress Distribution Profile using this online evaluator? To use this online evaluator for Pressure Gradient given Shear Stress Distribution Profile, enter Shear Stress (𝜏), Width (w) & Horizontal Distance (R) and hit the calculate button.

FAQs on Pressure Gradient given Shear Stress Distribution Profile

What is the formula to find Pressure Gradient given Shear Stress Distribution Profile?

The formula of Pressure Gradient given Shear Stress Distribution Profile is expressed as Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance). Here is an example- 17.24074 = -93.1/(3/2-6.9).

How to calculate Pressure Gradient given Shear Stress Distribution Profile?

With Shear Stress (𝜏), Width (w) & Horizontal Distance (R) we can find Pressure Gradient given Shear Stress Distribution Profile using the formula - Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance).

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

Pressure Gradient=(Maximum Velocity*8*Dynamic Viscosity)/(Width^2)

Can the Pressure Gradient given Shear Stress Distribution Profile be negative?

No, the Pressure Gradient given Shear Stress Distribution Profile, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient given Shear Stress Distribution Profile?

Pressure Gradient given Shear Stress Distribution Profile 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 Distribution Profile can be measured.

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