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Pressure Gradient given Maximum Velocity between Plates Formula

GoPressure Gradient given Shear Stress Distribution Profile 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 max \cdot 8 \cdot μ}{w^{2}}

dp|dr - Pressure Gradient?V_max - Maximum Velocity?μ - Dynamic Viscosity?w - Width?

Pressure Gradient given Maximum Velocity between Plates Example

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Here is how the Pressure Gradient given Maximum Velocity between Plates equation looks like with Values.

Here is how the Pressure Gradient given Maximum Velocity between Plates equation looks like with Units.

Here is how the Pressure Gradient given Maximum Velocity between Plates equation looks like.

16.864 = \frac{18.6 \cdot 8 \cdot 10.2}{3^{2}}

16.864N/m³ = \frac{18.6m/s \cdot 8 \cdot 10.2P}{{3m}^{2}}

16.864 = \frac{18.6 \cdot 8 \cdot 10.2}{3^{2}}

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Pressure Gradient given Maximum Velocity between Plates Solution

Follow our step by step solution on how to calculate Pressure Gradient given Maximum Velocity between Plates?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dp|dr = \frac{18.6m/s \cdot 8 \cdot 10.2P}{{3m}^{2}}

Next Step Convert Units

∴

dp|dr = \frac{18.6m/s \cdot 8 \cdot 1.02Pa*s}{{3m}^{2}}

Next Step Prepare to Evaluate

∴

dp|dr = \frac{18.6 \cdot 8 \cdot 1.02}{3^{2}}

LAST Step Evaluate

∴

dp|dr = 16.864N/m³

Pressure Gradient given Maximum Velocity between Plates 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 Velocity

The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.

Symbol: V_max

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum 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

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

Other Formulas to find Pressure Gradient

Go Pressure Gradient given Shear Stress Distribution Profile

dp|dr = - \frac{𝜏}{\frac{w}{2} - R}

How to Evaluate Pressure Gradient given Maximum Velocity between Plates?

Pressure Gradient given Maximum Velocity between Plates evaluator uses Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2) to evaluate the Pressure Gradient, The Pressure Gradient given Maximum Velocity between Plates formula is defined as the rate of pressure change per unit distance in a fluid flow with maximum velocity between plates in a hydraulic system. Pressure Gradient is denoted by dp|dr symbol.

How to evaluate Pressure Gradient given Maximum Velocity between Plates using this online evaluator? To use this online evaluator for Pressure Gradient given Maximum Velocity between Plates, enter Maximum Velocity (V_max), Dynamic Viscosity (μ) & Width (w) and hit the calculate button.

FAQs on Pressure Gradient given Maximum Velocity between Plates

What is the formula to find Pressure Gradient given Maximum Velocity between Plates?

The formula of Pressure Gradient given Maximum Velocity between Plates is expressed as Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2). Here is an example- 16.864 = (18.6*8*1.02)/(3^2).

How to calculate Pressure Gradient given Maximum Velocity between Plates?

With Maximum Velocity (V_max), Dynamic Viscosity (μ) & Width (w) we can find Pressure Gradient given Maximum Velocity between Plates using the formula - Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2).

What are the other ways to Calculate Pressure Gradient?

Here are the different ways to Calculate Pressure Gradient-

Pressure Gradient=-Shear Stress/(Width/2-Horizontal Distance)

Can the Pressure Gradient given Maximum Velocity between Plates be negative?

No, the Pressure Gradient given Maximum Velocity between Plates, measured in Pressure Gradient cannot be negative.

Which unit is used to measure Pressure Gradient given Maximum Velocity between Plates?

Pressure Gradient given Maximum Velocity between Plates 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 Velocity between Plates can be measured.

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Pressure Gradient given Maximum Velocity between Plates Formula

​GoPressure Gradient given Shear Stress Distribution Profile Formula

Pressure Gradient given Maximum Velocity between Plates Example

Pressure Gradient given Maximum Velocity between Plates Solution

Pressure Gradient given Maximum Velocity between Plates Formula Elements

Other Formulas to find Pressure Gradient

How to Evaluate Pressure Gradient given Maximum Velocity between Plates?

FAQs on Pressure Gradient given Maximum Velocity between Plates

Variable Name

GoPressure Gradient given Shear Stress Distribution Profile Formula