Length of Pipe for Loss of Pressure Head in Viscous Flow Calculator

⤿

Viscous Flow

Draft Tube

Flow Characteristics

Orifices and Mouthpieces

Properties of Surfaces and Solids

⤿

Dimensions and Geometry

Flow Analysis

Fluid Flow and Resistance

✖The Loss of Peizometric Head is considered in the viscous flow through circular pipe.ⓘ Loss of Peizometric Head [h_f]			+10% -10%
✖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%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+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 of Pipe for Loss of Pressure Head in Viscous Flow [L]

⎘ Copy

👎

Formula

✖

Length of Pipe for Loss of Pressure Head in Viscous Flow

Formula

`"L" = ("h"_{"f"}*"ρ"*"[g]"*"D"_{"pipe"}^2)/(32*"μ"*"V")`

Example

`"1.343189m"=("1.5m"*"997kg/m³"*"[g]"*("1.203m")^2)/(32*"8.23N*s/m²"*"60m/s")`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

Length of Pipe for Loss of Pressure Head in Viscous Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
L = (h_f*ρ*[g]*D_pipe^2)/(32*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.
Loss of Peizometric Head - (Measured in Meter) - The Loss of Peizometric Head is considered in the viscous flow through circular pipe.
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).
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
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

Loss of Peizometric Head: 1.5 Meter --> 1.5 Meter No Conversion Required
Density of Liquid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Diameter of Pipe: 1.203 Meter --> 1.203 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 = (h_f*ρ*[g]*D_pipe^2)/(32*μ*V) --> (1.5*997*[g]*1.203^2)/(32*8.23*60)

Evaluating ... ...

L = 1.34318948620049

STEP 3: Convert Result to Output's Unit

1.34318948620049 Meter --> No Conversion Required

FINAL ANSWER

1.34318948620049 ≈ 1.343189 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Dimensions and Geometry » Length of Pipe for Loss of Pressure Head in Viscous Flow

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< 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 of Pipe for Loss of Pressure Head in Viscous Flow Formula

Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
L = (h_f*ρ*[g]*D_pipe^2)/(32*μ*V)

What is viscous flow?

A type of fluid flow in which there is a continuous steady motion of the particles; the motion at a fixed point always remains constant.

What is Hagen poiseuille formula?

In nonideal fluid dynamics, the Hagen–Poiseuille equation is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross-section.

How to Calculate Length of Pipe for Loss of Pressure Head in Viscous Flow?

Length of Pipe for Loss of Pressure Head in Viscous Flow calculator uses Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid) to calculate the Length of Pipe, The Length of pipe for loss of pressure head in viscous flow formula is known by considering the viscosity of fluid, velocity, density, loss of head, and the diameter of pipe where the viscous flow takes place. It is called the Hagen poiseuille formula. Length of Pipe is denoted by L symbol.

How to calculate Length of Pipe for Loss of Pressure Head in Viscous Flow using this online calculator? To use this online calculator for Length of Pipe for Loss of Pressure Head in Viscous Flow, enter Loss of Peizometric Head (h_f), Density of Liquid (ρ), Diameter of Pipe (D_pipe), Viscosity of Fluid (μ) & Velocity of Fluid (V) and hit the calculate button. Here is how the Length of Pipe for Loss of Pressure Head in Viscous Flow calculation can be explained with given input values -> 120.2856 = (1.5*997*[g]*1.203^2)/(32*8.23*60).

FAQ

What is Length of Pipe for Loss of Pressure Head in Viscous Flow?

The Length of pipe for loss of pressure head in viscous flow formula is known by considering the viscosity of fluid, velocity, density, loss of head, and the diameter of pipe where the viscous flow takes place. It is called the Hagen poiseuille formula and is represented as L = (h_f*ρ*[g]*D_pipe^2)/(32*μ*V) or Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid). The Loss of Peizometric Head is considered in the viscous flow through circular pipe, 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), Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, 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 of Pipe for Loss of Pressure Head in Viscous Flow?

The Length of pipe for loss of pressure head in viscous flow formula is known by considering the viscosity of fluid, velocity, density, loss of head, and the diameter of pipe where the viscous flow takes place. It is called the Hagen poiseuille formula is calculated using Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid). To calculate Length of Pipe for Loss of Pressure Head in Viscous Flow, you need Loss of Peizometric Head (h_f), Density of Liquid (ρ), Diameter of Pipe (D_pipe), Viscosity of Fluid (μ) & Velocity of Fluid (V). With our tool, you need to enter the respective value for Loss of Peizometric Head, Density of Liquid, Diameter of Pipe, 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 Loss of Peizometric Head, Density of Liquid, Diameter of Pipe, 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 = (Density of Liquid*[g]*Loss of Peizometric Head*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 Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

Home

FREE PDFs

🔍 Search