Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
L = (ρ*[g]*hf*t^2)/(12*μ*V)
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).
Loss of Peizometric Head - (Measured in Meter) - Loss of Peizometric Head is considered in the viscous flow through circular pipe.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Density of Liquid: 984.6633 Kilogram per Cubic Meter --> 984.6633 Kilogram per Cubic Meter No Conversion Required
Loss of Peizometric Head: 0.086132 Meter --> 0.086132 Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (ρ*[g]*hf*t^2)/(12*μ*V) --> (984.6633*[g]*0.086132*4.623171^2)/(12*8.23*60)
Evaluating ... ...
L = 2.9999950733431
STEP 3: Convert Result to Output's Unit
2.9999950733431 Meter --> No Conversion Required
FINAL ANSWER
2.9999950733431 2.999995 Meter <-- Length of Pipe
(Calculation completed in 00.020 seconds)

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Dimensions and Geometry Calculators

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates
​ LaTeX ​ Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Length for Difference of Pressure in Viscous Flow between Two Parallel Plates
​ LaTeX ​ Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Diameter of Shaft for Torque Required in Foot-Step Bearing
​ LaTeX ​ Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Diameter of Pipe from Maximum Velocity and Velocity at Any Radius
​ LaTeX ​ Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates Formula

​LaTeX ​Go
Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
L = (ρ*[g]*hf*t^2)/(12*μ*V)

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 Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates?

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates calculator uses Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid) to calculate the Length of Pipe, Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates can be determined using a formula that relates it to factors such as the viscosity of the fluid, the distance between the plates, and the velocity profile of the fluid flow. This calculation helps in estimating how pressure decreases along the length between the plates due to viscous effects. Length of Pipe is denoted by L symbol.

How to calculate Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates using this online calculator? To use this online calculator for Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates, enter Density of Liquid (ρ), Loss of Peizometric Head (hf), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Velocity of Fluid (V) and hit the calculate button. Here is how the Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates calculation can be explained with given input values -> 52.2453 = (984.6633*[g]*0.086132*4.623171^2)/(12*8.23*60).

FAQ

What is Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates?
Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates can be determined using a formula that relates it to factors such as the viscosity of the fluid, the distance between the plates, and the velocity profile of the fluid flow. This calculation helps in estimating how pressure decreases along the length between the plates due to viscous effects and is represented as L = (ρ*[g]*hf*t^2)/(12*μ*V) or Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid). Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho), Loss of Peizometric Head is considered in the viscous flow through circular pipe, Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil, 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.
How to calculate Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates?
Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates can be determined using a formula that relates it to factors such as the viscosity of the fluid, the distance between the plates, and the velocity profile of the fluid flow. This calculation helps in estimating how pressure decreases along the length between the plates due to viscous effects is calculated using Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid). To calculate Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates, you need Density of Liquid (ρ), Loss of Peizometric Head (hf), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Velocity of Fluid (V). With our tool, you need to enter the respective value for Density of Liquid, Loss of Peizometric Head, Thickness of Oil Film, Viscosity of Fluid & Velocity of Fluid 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 Length of Pipe?
In this formula, Length of Pipe uses Density of Liquid, Loss of Peizometric Head, Thickness of Oil Film, Viscosity of Fluid & Velocity of Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
  • Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
  • Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
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