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

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✖The Loss of head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.ⓘ Loss of Head [h_L]			+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 Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ_friction]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_avg]			+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 Head Loss due to Friction in Viscous Flow [L]

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

Formula

`"L" = ("h"_{"L"}*"D"_{"pipe"}*2*"[g]")/(4*"μ"_{"friction"}*"v"_{"avg"}^2)`

Example

`"3.001705m"=("8.6m"*"1.203m"*2*"[g]")/(4*"0.4"*("6.5m/s")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
L = (h_L*D_pipe*2*[g])/(4*μ_friction*v_avg^2)
This formula uses 1 Constants, 5 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 Head - (Measured in Meter) - The Loss of head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.
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.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.

STEP 1: Convert Input(s) to Base Unit

Loss of Head: 8.6 Meter --> 8.6 Meter No Conversion Required
Diameter of Pipe: 1.203 Meter --> 1.203 Meter No Conversion Required
Coefficient of Friction: 0.4 --> No Conversion Required
Average Velocity: 6.5 Meter per Second --> 6.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (h_L*D_pipe*2*[g])/(4*μ_friction*v_avg^2) --> (8.6*1.203*2*[g])/(4*0.4*6.5^2)

Evaluating ... ...

L = 3.00170531272189

STEP 3: Convert Result to Output's Unit

3.00170531272189 Meter --> No Conversion Required

FINAL ANSWER

3.00170531272189 ≈ 3.001705 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

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

Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
L = (h_L*D_pipe*2*[g])/(4*μ_friction*v_avg^2)

What is head loss due to friction in viscous flow?

Head loss is potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system (a pipe, valves, fittings, entrance, and exit losses). Unlike the velocity head, the friction head cannot be ignored in system calculations. Values vary as the square of the flow rate.

What is friction in viscous flow?

The amount of friction depends on the fluid viscosity and the velocity gradient (that is, the relative velocity between fluid layers). The velocity gradients are set up by the no-slip condition at the wall.

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

Length of Pipe for Head Loss due to Friction in Viscous Flow calculator uses Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2) to calculate the Length of Pipe, The Length of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, loss of head, length, and diameter of the pipe. Length of Pipe is denoted by L symbol.

How to calculate Length of Pipe for Head Loss due to Friction in Viscous Flow using this online calculator? To use this online calculator for Length of Pipe for Head Loss due to Friction in Viscous Flow, enter Loss of Head (h_L), Diameter of Pipe (D_pipe), Coefficient of Friction (μ_friction) & Average Velocity (v_avg) and hit the calculate button. Here is how the Length of Pipe for Head Loss due to Friction in Viscous Flow calculation can be explained with given input values -> 2.99422 = (8.6*1.203*2*[g])/(4*0.4*6.5^2).

FAQ

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

The Length of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, loss of head, length, and diameter of the pipe and is represented as L = (h_L*D_pipe*2*[g])/(4*μ_friction*v_avg^2) or Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2). The Loss of head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Average Velocity is defined as the mean of all different velocities.

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

The Length of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, loss of head, length, and diameter of the pipe is calculated using Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2). To calculate Length of Pipe for Head Loss due to Friction in Viscous Flow, you need Loss of Head (h_L), Diameter of Pipe (D_pipe), Coefficient of Friction (μ_friction) & Average Velocity (v_avg). With our tool, you need to enter the respective value for Loss of Head, Diameter of Pipe, Coefficient of Friction & Average Velocity 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 Head, Diameter of Pipe, Coefficient of Friction & Average Velocity. 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 Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)

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