Length of Pipe for Difference of Pressure in Viscous Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
L = (Δp*Dpipe^2)/(32*μoil*vavg)
This formula uses 5 Variables
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.
Pressure Difference in Viscous Flow - (Measured in Pascal) - The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.
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 Oil - (Measured in Pascal Second) - The Viscosity of Oil is considered in the viscous or laminar flow.
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
Pressure Difference in Viscous Flow: 12.2 Newton per Square Meter --> 12.2 Pascal (Check conversion here)
Diameter of Pipe: 1.203 Meter --> 1.203 Meter No Conversion Required
Viscosity of Oil: 0.1 Newton Second per Square Meter --> 0.1 Pascal Second (Check conversion here)
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 = (Δp*Dpipe^2)/(32*μoil*vavg) --> (12.2*1.203^2)/(32*0.1*6.5)
Evaluating ... ...
L = 0.848843740384615
STEP 3: Convert Result to Output's Unit
0.848843740384615 Meter --> No Conversion Required
FINAL ANSWER
0.848843740384615 0.848844 Meter <-- Length of Pipe
(Calculation completed in 00.004 seconds)

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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 Difference of Pressure in Viscous Flow Formula

Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
L = (Δp*Dpipe^2)/(32*μoil*vavg)

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. Also called streamline flow; laminar flow; steady flow.

What is pressure drop?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

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

Length of Pipe for Difference of Pressure in Viscous Flow calculator uses Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity) to calculate the Length of Pipe, The Length of pipe for difference of pressure in viscous flow formula is known while considering the viscosity of oil flowing with its average velocity, the difference in pressure, and diameter of the pipe. Length of Pipe is denoted by L symbol.

How to calculate Length of Pipe for Difference of Pressure in Viscous Flow using this online calculator? To use this online calculator for Length of Pipe for Difference of Pressure in Viscous Flow, enter Pressure Difference in Viscous Flow (Δp), Diameter of Pipe (Dpipe), Viscosity of Oil oil) & Average Velocity (vavg) and hit the calculate button. Here is how the Length of Pipe for Difference of Pressure in Viscous Flow calculation can be explained with given input values -> 0.844615 = (12.2*1.203^2)/(32*0.1*6.5).

FAQ

What is Length of Pipe for Difference of Pressure in Viscous Flow?
The Length of pipe for difference of pressure in viscous flow formula is known while considering the viscosity of oil flowing with its average velocity, the difference in pressure, and diameter of the pipe and is represented as L = (Δp*Dpipe^2)/(32*μoil*vavg) or Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity). The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, The Viscosity of Oil is considered in the viscous or laminar flow & Average Velocity is defined as the mean of all different velocities.
How to calculate Length of Pipe for Difference of Pressure in Viscous Flow?
The Length of pipe for difference of pressure in viscous flow formula is known while considering the viscosity of oil flowing with its average velocity, the difference in pressure, and diameter of the pipe is calculated using Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity). To calculate Length of Pipe for Difference of Pressure in Viscous Flow, you need Pressure Difference in Viscous Flow (Δp), Diameter of Pipe (Dpipe), Viscosity of Oil oil) & Average Velocity (vavg). With our tool, you need to enter the respective value for Pressure Difference in Viscous Flow, Diameter of Pipe, Viscosity of Oil & 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 Pressure Difference in Viscous Flow, Diameter of Pipe, Viscosity of Oil & 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 = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
  • Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
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