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

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✖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).ⓘ Density of Liquid [ρ]			+10% -10%
✖The Loss of Peizometric Head is considered in the viscous flow through circular pipe.ⓘ Loss of Peizometric Head [h_f]			+10% -10%
✖Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.ⓘ Thickness of Oil Film [t]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.ⓘ Velocity of Fluid [V]			+10% -10%

✖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.ⓘ Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates [L]

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Formula

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

Formula

`"L" = ("ρ"*"[g]"*"h"_{"f"}*"t"^2)/(12*"μ"*"V")`

Example

`"3.563996m"=("997kg/m³"*"[g]"*"1.5m"*("1.2m")^2)/(12*"8.23N*s/m²"*"60m/s")`

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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]*h_f*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) - The 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: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Loss of Peizometric Head: 1.5 Meter --> 1.5 Meter No Conversion Required
Thickness of Oil Film: 1.2 Meter --> 1.2 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]*h_f*t^2)/(12*μ*V) --> (997*[g]*1.5*1.2^2)/(12*8.23*60)

Evaluating ... ...

L = 3.56399637302552

STEP 3: Convert Result to Output's Unit

3.56399637302552 Meter --> No Conversion Required

FINAL ANSWER

3.56399637302552 ≈ 3.563996 Meter <-- Length of Pipe

(Calculation completed in 00.018 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Dimensions and Geometry » Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

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PSG College of Technology (PSGCT), Coimbatore

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< 19 Dimensions and Geometry Calculators

Radius of Capillary Tube

Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)

Length of Tube in Capillary Tube Method

Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)

Diameter of Pipe for Loss of Pressure Head in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

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

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 of Pipe for Loss of Pressure Head in Viscous Flow

Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)

External or Outer Radius of Collar for Total Torque

Go Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Internal or Inner Radius of Collar for Total Torque

Go Inner Radius of Collar = (Outer Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Diameter of Pipe for Difference in Pressure in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))

Thickness of Oil Film for Shear Force in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)

Diameter of Pipe for Head Loss due to Friction in Viscous Flow

Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

Length of Pipe for Head Loss due to Friction in Viscous Flow

Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

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

Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Thickness of Oil Film for Torque required in Foot-Step Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel

Length of Pipe for Difference of Pressure in Viscous Flow

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

Diameter of Sphere in Falling Sphere Resistance Method

Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

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

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]*h_f*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, The Length for pressure head loss in viscous flow between two parallel plates formula is known while considering the viscosity of the fluid, velocity, pressure head loss, density, and the thickness or the distance apart from the relation ratio of pressure head for a given length. 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 (h_f), 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 -> 43.65896 = (997*[g]*1.5*1.2^2)/(12*8.23*60).

FAQ

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

The Length for pressure head loss in viscous flow between two parallel plates formula is known while considering the viscosity of the fluid, velocity, pressure head loss, density, and the thickness or the distance apart from the relation ratio of pressure head for a given length and is represented as L = (ρ*[g]*h_f*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), The 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?

The Length for pressure head loss in viscous flow between two parallel plates formula is known while considering the viscosity of the fluid, velocity, pressure head loss, density, and the thickness or the distance apart from the relation ratio of pressure head for a given length 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 (h_f), 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 4 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)
Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

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