Mean Velocity of Flow given Pressure Drop over Length of Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))
Vmean = ΔP/(32*μviscosity*Lp/(Dpipe^2))
This formula uses 5 Variables
Variables Used
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = ΔP/(32*μviscosity*Lp/(Dpipe^2)) --> 90/(32*1.02*0.1/(1.01^2))
Evaluating ... ...
Vmean = 28.1277573529412
STEP 3: Convert Result to Output's Unit
28.1277573529412 Meter per Second --> No Conversion Required
FINAL ANSWER
28.1277573529412 28.12776 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

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20 Hagen–Poiseuille Equation Calculators

Diameter of Pipe given Head Loss over Length of Pipe with Discharge
Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)
Dynamic Viscosity given Head Loss over Length of Pipe with Discharge
Go Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
Length of Pipe given Head Loss over Length of Pipe with Discharge
Go Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
Head Loss over Length of Pipe given Discharge
Go Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)
Diameter of Pipe given Head Loss over Length of Pipe
Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
Mean Velocity of Flow given Head Loss over Length of Pipe
Go Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
Dynamic Viscosity given Head Loss over Length of Pipe
Go Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
Length of Pipe given Head Loss over Length of Pipe
Go Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Specific Weight of Liquid given Head Loss over Length of Pipe
Go Specific Weight of Liquid = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Head Loss due to Friction*Diameter of Pipe^2)
Head Loss over Length of Pipe
Go Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)
Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge
Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge
Go Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in pipe*Length of Pipe)
Discharge given Pressure Drop over Length of Pipe
Go Discharge in pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4)))
Length of Pipe given Pressure Drop over Length of Pipe with Discharge
Go Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe)
Pressure Drop over Length of Pipe given Discharge
Go Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4))
Diameter of Pipe given Pressure Drop over Length of Pipe
Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Dynamic Viscosity given Pressure Drop over Length of Pipe
Go Dynamic Viscosity = (Pressure Difference*(Diameter of Pipe^2))/(32*Length of Pipe*Mean Velocity)
Mean Velocity of Flow given Pressure Drop over Length of Pipe
Go Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))
Length of Pipe given Pressure Drop over Length of Pipe
Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Pressure drop over length of pipe
Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Mean Velocity of Flow given Pressure Drop over Length of Pipe Formula

Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))
Vmean = ΔP/(32*μviscosity*Lp/(Dpipe^2))

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 Mean Velocity of Flow given Pressure Drop over Length of Pipe?

Mean Velocity of Flow given Pressure Drop over Length of Pipe calculator uses Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)) to calculate the Mean Velocity, The Mean Velocity of Flow given Pressure Drop over Length of Pipe is defined as average velocity of stream in pipe. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow given Pressure Drop over Length of Pipe using this online calculator? To use this online calculator for Mean Velocity of Flow given Pressure Drop over Length of Pipe, enter Pressure Difference (ΔP), Dynamic Viscosity viscosity), Length of Pipe (Lp) & Diameter of Pipe (Dpipe) and hit the calculate button. Here is how the Mean Velocity of Flow given Pressure Drop over Length of Pipe calculation can be explained with given input values -> 28.12776 = 90/(32*1.02*0.1/(1.01^2)).

FAQ

What is Mean Velocity of Flow given Pressure Drop over Length of Pipe?
The Mean Velocity of Flow given Pressure Drop over Length of Pipe is defined as average velocity of stream in pipe and is represented as Vmean = ΔP/(32*μviscosity*Lp/(Dpipe^2)) or Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)). Pressure Difference is the difference in pressure intensities at two different points in a liquid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Length of Pipe describes the length of the pipe in which the liquid is flowing & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
How to calculate Mean Velocity of Flow given Pressure Drop over Length of Pipe?
The Mean Velocity of Flow given Pressure Drop over Length of Pipe is defined as average velocity of stream in pipe is calculated using Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)). To calculate Mean Velocity of Flow given Pressure Drop over Length of Pipe, you need Pressure Difference (ΔP), Dynamic Viscosity viscosity), Length of Pipe (Lp) & Diameter of Pipe (Dpipe). With our tool, you need to enter the respective value for Pressure Difference, Dynamic Viscosity, Length of Pipe & Diameter of Pipe 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 Mean Velocity?
In this formula, Mean Velocity uses Pressure Difference, Dynamic Viscosity, Length of Pipe & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
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