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

✖The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.ⓘ Pressure Difference [ΔP]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity of Flow given Pressure Drop over Length of Pipe [V_mean]

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Formula

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Mean Velocity of Flow given Pressure Drop over Length of Pipe

Formula

V mean = \frac{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

Example

28.12776 m/s = \frac{90 N/m²}{32 \cdot 10.2 P \cdot \frac{0.10 m}{{1.01 m}^{2}}}

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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))
V_mean = ΔP/(32*μ*L_p/(D_pipe^2))
This formula uses 5 Variables

Variables Used

Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Pressure Difference - (Measured in Pascal) - The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to 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

V_mean = ΔP/(32*μ*L_p/(D_pipe^2)) --> 90/(32*1.02*0.1/(1.01^2))

Evaluating ... ...

V_mean = 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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< Hagen Poiseuille Equation Calculators

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)

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))
V_mean = ΔP/(32*μ*L_p/(D_pipe^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 V_mean 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 (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) 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 V_mean = ΔP/(32*μ*L_p/(D_pipe^2)) or Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)). The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & The Diameter of Pipe refers to 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 (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe). 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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