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])
Dpipe = (4*μfriction*L*vavg^2)/(hL*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) - The 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
Dpipe = (4*μfriction*L*vavg^2)/(hL*2*[g]) --> (4*0.4*3*6.5^2)/(8.6*2*[g])
Evaluating ... ...
Dpipe = 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)

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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)

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

Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])
Dpipe = (4*μfriction*L*vavg^2)/(hL*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, The Diameter of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, average velocity, length, and loss of head. Diameter of Pipe is denoted by Dpipe 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 friction), Length of Pipe (L), Average Velocity (vavg) & Loss of Head (hL) 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?
The Diameter of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, average velocity, length, and loss of head and is represented as Dpipe = (4*μfriction*L*vavg^2)/(hL*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 & The 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?
The Diameter of pipe for head loss due to friction in viscous flow formula is known while considering the coefficient of friction, average velocity, length, and loss of head 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 friction), Length of Pipe (L), Average Velocity (vavg) & Loss of Head (hL). 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))
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