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

✖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%
✖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 [L]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_a]			+10% -10%
✖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 for Head Loss due to Friction in Viscous Flow [D_p]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])
D_p = (4*μ_f*L*v_a^2)/(h_L*2*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
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.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.4 --> No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Average Velocity: 6.5 Meter per Second --> 6.5 Meter per Second No Conversion Required
Loss of Head: 8.6 Meter --> 8.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = (4*μ_f*L*v_a^2)/(h_L*2*[g]) --> (4*0.4*3*6.5^2)/(8.6*2*[g])

Evaluating ... ...

D_p = 1.20231655809258

STEP 3: Convert Result to Output's Unit

1.20231655809258 Meter --> No Conversion Required

FINAL ANSWER

1.20231655809258 ≈ 1.202317 Meter <-- Diameter of Pipe

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Dimensions and Geometry » Diameter 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)

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

LaTeX Go

Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])
D_p = (4*μ_f*L*v_a^2)/(h_L*2*[g])

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

Diameter of Pipe for Head Loss due to Friction in Viscous Flow calculator uses Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]) to calculate the Diameter of Pipe, Diameter of Pipe for Head Loss due to Friction in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship indicates that head loss due to friction is directly proportional to the length of the pipe, the fluid velocity squared, and the friction factor, and inversely proportional to the pipe diameter. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe for Head Loss due to Friction in Viscous Flow using this online calculator? To use this online calculator for Diameter of Pipe for Head Loss due to Friction in Viscous Flow, enter Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Loss of Head (h_L) and hit the calculate button. Here is how the Diameter of Pipe for Head Loss due to Friction in Viscous Flow calculation can be explained with given input values -> 1.202317 = (4*0.4*3*6.5^2)/(8.6*2*[g]).

FAQ

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

Diameter of Pipe for Head Loss due to Friction in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship indicates that head loss due to friction is directly proportional to the length of the pipe, the fluid velocity squared, and the friction factor, and inversely proportional to the pipe diameter and is represented as D_p = (4*μ_f*L*v_a^2)/(h_L*2*[g]) or Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]). 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, 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, Average Velocity is defined as the mean of all different velocities & Loss of Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.

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

Diameter of Pipe for Head Loss due to Friction in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship indicates that head loss due to friction is directly proportional to the length of the pipe, the fluid velocity squared, and the friction factor, and inversely proportional to the pipe diameter is calculated using Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]). To calculate Diameter of Pipe for Head Loss due to Friction in Viscous Flow, you need Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Loss of Head (h_L). With our tool, you need to enter the respective value for Coefficient of Friction, Length of Pipe, Average Velocity & Loss of Head 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 Diameter of Pipe?

In this formula, Diameter of Pipe uses Coefficient of Friction, Length of Pipe, Average Velocity & Loss of Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

Home

FREE PDFs

🔍 Search