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Difference of Pressure for Viscous Flow between Two Parallel Plates Formula

GoDifference of Pressure for Viscous or Laminar Flow Formula

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The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure. Check FAQs

Δp = \frac{12 \cdot μ \cdot V \cdot L}{t^{2}}

Δp - Pressure Difference in Viscous Flow?μ - Viscosity of Fluid?V - Velocity of Fluid?L - Length of Pipe?t - Thickness of Oil Film?

Difference of Pressure for Viscous Flow between Two Parallel Plates Example

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Here is how the Difference of Pressure for Viscous Flow between Two Parallel Plates equation looks like with Values.

Here is how the Difference of Pressure for Viscous Flow between Two Parallel Plates equation looks like with Units.

Here is how the Difference of Pressure for Viscous Flow between Two Parallel Plates equation looks like.

831.7133 = \frac{12 \cdot 8.23 \cdot 60 \cdot 3}{{4.6232}^{2}}

831.7133N/m² = \frac{12 \cdot 8.23N*s/m² \cdot 60m/s \cdot 3m}{{4.6232m}^{2}}

831.7133 = \frac{12 \cdot 8.23 \cdot 60 \cdot 3}{{4.6232}^{2}}

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Difference of Pressure for Viscous Flow between Two Parallel Plates Solution

Follow our step by step solution on how to calculate Difference of Pressure for Viscous Flow between Two Parallel Plates?

FIRST Step Consider the formula

Δp = \frac{12 \cdot μ \cdot V \cdot L}{t^{2}}

Next Step Substitute values of Variables

∴

Δp = \frac{12 \cdot 8.23N*s/m² \cdot 60m/s \cdot 3m}{{4.6232m}^{2}}

Next Step Convert Units

∴

Δp = \frac{12 \cdot 8.23Pa*s \cdot 60m/s \cdot 3m}{{4.6232m}^{2}}

Next Step Prepare to Evaluate

∴

Δp = \frac{12 \cdot 8.23 \cdot 60 \cdot 3}{{4.6232}^{2}}

Next Step Evaluate

∴

Δp = 831.71334881903Pa

Next Step Convert to Output's Unit

∴

Δp = 831.71334881903N/m²

LAST Step Rounding Answer

∴

Δp = 831.7133N/m²

Difference of Pressure for Viscous Flow between Two Parallel Plates Formula Elements

Variables

Pressure Difference in Viscous Flow

The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.

Symbol: Δp

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference in Viscous Flow

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Velocity of Fluid

Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Thickness of Oil Film

Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Oil Film

Other Formulas to find Pressure Difference in Viscous Flow

Go Difference of Pressure for Viscous or Laminar Flow

Δp = \frac{32 \cdot μ \cdot v a \cdot L}{{d o}^{2}}

Other formulas in Flow Analysis category

Go Loss of Pressure Head for Viscous Flow through Circular Pipe

h f = \frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot {D p}^{2}}

Go Loss of Pressure Head for Viscous Flow between Two Parallel Plates

h f = \frac{12 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot t^{2}}

Go Loss of Head Due to Friction

h L = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{D p \cdot 2 \cdot [g]}

Go Viscosity of Fluid or Oil for Movement of Piston in Dash-Pot

μ = \frac{4 \cdot W b \cdot C^{3}}{3 \cdot π \cdot L \cdot {d p}^{3} \cdot V}

How to Evaluate Difference of Pressure for Viscous Flow between Two Parallel Plates?

Difference of Pressure for Viscous Flow between Two Parallel Plates evaluator uses Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2) to evaluate the Pressure Difference in Viscous Flow, Difference of Pressure for Viscous Flow between Two Parallel Plates also known as plane Couette flow or Poiseuille flow, depends on the viscosity of the fluid, the distance between the plates, the length of the plates in the direction of flow, and the velocity gradient or flow rate. The pressure drop is proportional to the fluid's viscosity and the flow rate, and inversely proportional to the cube of the distance between the plates. Pressure Difference in Viscous Flow is denoted by Δp symbol.

How to evaluate Difference of Pressure for Viscous Flow between Two Parallel Plates using this online evaluator? To use this online evaluator for Difference of Pressure for Viscous Flow between Two Parallel Plates, enter Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L) & Thickness of Oil Film (t) and hit the calculate button.

FAQs on Difference of Pressure for Viscous Flow between Two Parallel Plates

What is the formula to find Difference of Pressure for Viscous Flow between Two Parallel Plates?

The formula of Difference of Pressure for Viscous Flow between Two Parallel Plates is expressed as Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2). Here is an example- 831.7133 = (12*8.23*60*3)/(4.623171^2).

How to calculate Difference of Pressure for Viscous Flow between Two Parallel Plates?

With Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L) & Thickness of Oil Film (t) we can find Difference of Pressure for Viscous Flow between Two Parallel Plates using the formula - Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2).

What are the other ways to Calculate Pressure Difference in Viscous Flow?

Here are the different ways to Calculate Pressure Difference in Viscous Flow-

Pressure Difference in Viscous Flow=(32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Can the Difference of Pressure for Viscous Flow between Two Parallel Plates be negative?

Yes, the Difference of Pressure for Viscous Flow between Two Parallel Plates, measured in Pressure can be negative.

Which unit is used to measure Difference of Pressure for Viscous Flow between Two Parallel Plates?

Difference of Pressure for Viscous Flow between Two Parallel Plates is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Difference of Pressure for Viscous Flow between Two Parallel Plates can be measured.

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Difference of Pressure for Viscous Flow between Two Parallel Plates Formula

​GoDifference of Pressure for Viscous or Laminar Flow Formula

Difference of Pressure for Viscous Flow between Two Parallel Plates Example

Difference of Pressure for Viscous Flow between Two Parallel Plates Solution

Difference of Pressure for Viscous Flow between Two Parallel Plates Formula Elements

Other Formulas to find Pressure Difference in Viscous Flow

Other formulas in Flow Analysis category

How to Evaluate Difference of Pressure for Viscous Flow between Two Parallel Plates?

FAQs on Difference of Pressure for Viscous Flow between Two Parallel Plates

Variable Name

GoDifference of Pressure for Viscous or Laminar Flow Formula