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Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T. Check FAQs
Vmean=ΔPS(Dpipe2)12μLp
Vmean - Mean Velocity?ΔP - Pressure Difference?S - Specific Weight of Liquid in Piezometer?Dpipe - Diameter of Pipe?μ - Dynamic Viscosity?Lp - Length of Pipe?

Mean Velocity of Flow given Pressure Head Drop Example

With values
With units
Only example

Here is how the Mean Velocity of Flow given Pressure Head Drop equation looks like with Values.

Here is how the Mean Velocity of Flow given Pressure Head Drop equation looks like with Units.

Here is how the Mean Velocity of Flow given Pressure Head Drop equation looks like.

8.3133Edit=13.3Edit0.75Edit(1.01Edit2)1210.2Edit0.1Edit
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Mean Velocity of Flow given Pressure Head Drop Solution

Follow our step by step solution on how to calculate Mean Velocity of Flow given Pressure Head Drop?

FIRST Step Consider the formula
Vmean=ΔPS(Dpipe2)12μLp
Next Step Substitute values of Variables
Vmean=13.3N/m²0.75kN/m³(1.01m2)1210.2P0.1m
Next Step Convert Units
Vmean=13.3Pa0.75kN/m³(1.01m2)121.02Pa*s0.1m
Next Step Prepare to Evaluate
Vmean=13.30.75(1.012)121.020.1
Next Step Evaluate
Vmean=8.31331495098039m/s
LAST Step Rounding Answer
Vmean=8.3133m/s

Mean Velocity of Flow given Pressure Head Drop Formula Elements

Variables
Mean Velocity
Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Symbol: Vmean
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Pressure Difference
Pressure Difference is the difference in pressure intensities at two different points in a liquid.
Symbol: ΔP
Measurement: PressureUnit: N/m²
Note: Value can be positive or negative.
Specific Weight of Liquid in Piezometer
Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.
Symbol: S
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Diameter of Pipe
The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
Symbol: Dpipe
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Length of Pipe
The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Symbol: Lp
Measurement: LengthUnit: m
Note: Value can be positive or negative.

Other Formulas to find Mean Velocity

​Go Mean Velocity of Flow given Pressure Gradient
Vmean=(w212μ)dp|dr
​Go Mean Velocity of Flow given Maximum Velocity
Vmean=(23)Vmax
​Go Mean Velocity of Flow given Pressure Difference
Vmean=ΔPw12μLp

How to Evaluate Mean Velocity of Flow given Pressure Head Drop?

Mean Velocity of Flow given Pressure Head Drop evaluator uses Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe) to evaluate the Mean Velocity, The Mean Velocity of Flow given Pressure Head Drop is defined as the average velocity of stream through pipe in the flow. Mean Velocity is denoted by Vmean symbol.

How to evaluate Mean Velocity of Flow given Pressure Head Drop using this online evaluator? To use this online evaluator for Mean Velocity of Flow given Pressure Head Drop, enter Pressure Difference (ΔP), Specific Weight of Liquid in Piezometer (S), Diameter of Pipe (Dpipe), Dynamic Viscosity (μ) & Length of Pipe (Lp) and hit the calculate button.

FAQs on Mean Velocity of Flow given Pressure Head Drop

What is the formula to find Mean Velocity of Flow given Pressure Head Drop?
The formula of Mean Velocity of Flow given Pressure Head Drop is expressed as Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe). Here is an example- 8.313315 = (13.3*750*(1.01^2))/(12*1.02*0.1).
How to calculate Mean Velocity of Flow given Pressure Head Drop?
With Pressure Difference (ΔP), Specific Weight of Liquid in Piezometer (S), Diameter of Pipe (Dpipe), Dynamic Viscosity (μ) & Length of Pipe (Lp) we can find Mean Velocity of Flow given Pressure Head Drop using the formula - Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe).
What are the other ways to Calculate Mean Velocity?
Here are the different ways to Calculate Mean Velocity-
  • Mean Velocity=((Width^2)/(12*Dynamic Viscosity))*Pressure GradientOpenImg
  • Mean Velocity=(2/3)*Maximum VelocityOpenImg
  • Mean Velocity=(Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe)OpenImg
Can the Mean Velocity of Flow given Pressure Head Drop be negative?
Yes, the Mean Velocity of Flow given Pressure Head Drop, measured in Speed can be negative.
Which unit is used to measure Mean Velocity of Flow given Pressure Head Drop?
Mean Velocity of Flow given Pressure Head Drop is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Velocity of Flow given Pressure Head Drop can be measured.
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