Mean Velocity of Flow given Head Loss over Length of Pipe Calculator

✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Flow given Head Loss over Length of Pipe [V_mean]

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Formula

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Mean Velocity of Flow given Head Loss over Length of Pipe

Formula

`"V"_{"mean"} = "h"_{"location"}/((32*"μ"_{"viscosity"}*"L"_{"p"})/("γ"_{"f"}*"D"_{"pipe"}^2))`

Example

`"5825.259m/s"="1.9m"/((32*"10.2P"*"0.10m")/("9.81kN/m³"*("1.01m")^2))`

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Mean Velocity of Flow given Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
V_mean = h_location/((32*μ_viscosity*L_p)/(γ_f*D_pipe^2))
This formula uses 6 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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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

Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = h_location/((32*μ_viscosity*L_p)/(γ_f*D_pipe^2)) --> 1.9/((32*1.02*0.1)/(9810*1.01^2))

Evaluating ... ...

V_mean = 5825.25854779412

STEP 3: Convert Result to Output's Unit

5825.25854779412 Meter per Second --> No Conversion Required

FINAL ANSWER

5825.25854779412 ≈ 5825.259 Meter per Second <-- Mean Velocity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Hagen–Poiseuille Equation » Mean Velocity of Flow given Head Loss over Length of Pipe

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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 Head Loss over Length of Pipe Formula

Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))
V_mean = h_location/((32*μ_viscosity*L_p)/(γ_f*D_pipe^2))

What is Mean Velocity?

Mean velocity of a fluid in a pipe or channel normally means the flow rate divided by the cross-sectional area of the flow. If the flow is unsteady, then mean velocity usually means time averaged as well.

How to Calculate Mean Velocity of Flow given Head Loss over Length of Pipe?

Mean Velocity of Flow given Head Loss over Length of Pipe calculator uses Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)) to calculate the Mean Velocity, The Mean Velocity of Flow given Head Loss 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 Head Loss over Length of Pipe using this online calculator? To use this online calculator for Mean Velocity of Flow given Head Loss over Length of Pipe, enter Head Loss due to Friction (h_location), Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Mean Velocity of Flow given Head Loss over Length of Pipe calculation can be explained with given input values -> 8891.184 = 1.9/((32*1.02*0.1)/(9810*1.01^2)).

FAQ

What is Mean Velocity of Flow given Head Loss over Length of Pipe?

The Mean Velocity of Flow given Head Loss over Length of Pipe is defined as average velocity of stream in pipe and is represented as V_mean = h_location/((32*μ_viscosity*L_p)/(γ_f*D_pipe^2)) or Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)). The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, 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, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Mean Velocity of Flow given Head Loss over Length of Pipe?

The Mean Velocity of Flow given Head Loss over Length of Pipe is defined as average velocity of stream in pipe is calculated using Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)). To calculate Mean Velocity of Flow given Head Loss over Length of Pipe, you need Head Loss due to Friction (h_location), Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Head Loss due to Friction, Dynamic Viscosity, Length of Pipe, Specific Weight of Liquid & 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 Head Loss due to Friction, Dynamic Viscosity, Length of Pipe, Specific Weight of Liquid & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))

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