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

✖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_p]			+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_f]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_a]			+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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

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_p*2*[g])/(4*μ_f*v_a^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) - 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_p*2*[g])/(4*μ_f*v_a^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 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Dimensions and Geometry » Length of Pipe for Head Loss due to Friction 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!

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

LaTeX Go

Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
L = (h_L*D_p*2*[g])/(4*μ_f*v_a^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, Length of Pipe for Head Loss due to Friction in Viscous Flow can be calculated using the Darcy-Weisbach equation, which relates it to factors such as the pipe diameter, flow velocity, viscosity of the fluid, and the friction factor (which incorporates the roughness of the pipe wall). This calculation helps in determining how much the pressure head decreases along the length of the pipe due to frictional losses caused by viscous effects. 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_p), Coefficient of Friction (μ_f) & Average Velocity (v_a) 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 -> 3.001705 = (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?

Length of Pipe for Head Loss due to Friction in Viscous Flow can be calculated using the Darcy-Weisbach equation, which relates it to factors such as the pipe diameter, flow velocity, viscosity of the fluid, and the friction factor (which incorporates the roughness of the pipe wall). This calculation helps in determining how much the pressure head decreases along the length of the pipe due to frictional losses caused by viscous effects and is represented as L = (h_L*D_p*2*[g])/(4*μ_f*v_a^2) or Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2). 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?

Length of Pipe for Head Loss due to Friction in Viscous Flow can be calculated using the Darcy-Weisbach equation, which relates it to factors such as the pipe diameter, flow velocity, viscosity of the fluid, and the friction factor (which incorporates the roughness of the pipe wall). This calculation helps in determining how much the pressure head decreases along the length of the pipe due to frictional losses caused by viscous effects 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_p), Coefficient of Friction (μ_f) & Average Velocity (v_a). 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 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 = (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)

Home

FREE PDFs

🔍 Search