Difference of Pressure for Viscous Flow between Two Parallel Plates Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)
Δp = (12*μ*V*L)/(t^2)
This formula uses 5 Variables
Variables Used
Pressure Difference in Viscous Flow - (Measured in Pascal) - The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.
Length of Pipe - (Measured in Meter) - 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.
Thickness of Oil Film - (Measured in Meter) - Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
STEP 1: Convert Input(s) to Base Unit
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion ​here)
Velocity of Fluid: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δp = (12*μ*V*L)/(t^2) --> (12*8.23*60*3)/(4.623171^2)
Evaluating ... ...
Δp = 831.71334881903
STEP 3: Convert Result to Output's Unit
831.71334881903 Pascal -->831.71334881903 Newton per Square Meter (Check conversion ​here)
FINAL ANSWER
831.71334881903 831.7133 Newton per Square Meter <-- Pressure Difference in Viscous Flow
(Calculation completed in 00.004 seconds)

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Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates
​ LaTeX ​ Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)
Loss of Pressure Head for Viscous Flow through Circular Pipe
​ LaTeX ​ Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)
Difference of Pressure for Viscous Flow between Two Parallel Plates
​ LaTeX ​ Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)
Difference of Pressure for Viscous or Laminar Flow
​ LaTeX ​ Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Difference of Pressure for Viscous Flow between Two Parallel Plates Formula

​LaTeX ​Go
Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)
Δp = (12*μ*V*L)/(t^2)

What is viscous flow between two parallel plates?

The viscous flow between parallel plates is considered from the relation of Couette flow which is the flow between two parallel plates. It is the flow of a viscous fluid in the space between two surfaces, one of which is moving tangentially relative to the other.

What is viscous flow or laminar flow?

Laminar flow is characterized by smooth or in regular paths of particles of the fluid. Therefore the laminar flow is also referred to as streamline or viscous flow.

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

Difference of Pressure for Viscous Flow between Two Parallel Plates calculator uses Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2) to calculate 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 calculate Difference of Pressure for Viscous Flow between Two Parallel Plates using this online calculator? To use this online calculator 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. Here is how the Difference of Pressure for Viscous Flow between Two Parallel Plates calculation can be explained with given input values -> 831.7133 = (12*8.23*60*3)/(4.623171^2).

FAQ

What is Difference of Pressure for Viscous Flow between Two Parallel Plates?
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 and is represented as Δp = (12*μ*V*L)/(t^2) or Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction, 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 & Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
How to calculate Difference of Pressure for Viscous Flow between Two Parallel Plates?
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 is calculated using Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2). To calculate Difference of Pressure for Viscous Flow between Two Parallel Plates, you need Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L) & Thickness of Oil Film (t). With our tool, you need to enter the respective value for Viscosity of Fluid, Velocity of Fluid, Length of Pipe & Thickness of Oil Film and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure Difference in Viscous Flow?
In this formula, Pressure Difference in Viscous Flow uses Viscosity of Fluid, Velocity of Fluid, Length of Pipe & Thickness of Oil Film. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)
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