Mean Velocity of Flow given Pressure Difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe)
Vmean = (ΔP*w)/(12*μviscosity*Lp)
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.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.
STEP 1: Convert Input(s) to Base Unit
Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)
Width: 3 Meter --> 3 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = (ΔP*w)/(12*μviscosity*Lp) --> (13.3*3)/(12*1.02*0.1)
Evaluating ... ...
Vmean = 32.5980392156863
STEP 3: Convert Result to Output's Unit
32.5980392156863 Meter per Second --> No Conversion Required
FINAL ANSWER
32.5980392156863 32.59804 Meter per Second <-- Mean Velocity
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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4 Mean Velocity of Flow Calculators

Mean Velocity of Flow given Pressure Head Drop
Go Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe)
Mean Velocity of Flow given Pressure Difference
Go Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe)
Mean Velocity of Flow given Pressure Gradient
Go Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient
Mean Velocity of Flow given Maximum Velocity
Go Mean Velocity = (2/3)*Maximum Velocity

Mean Velocity of Flow given Pressure Difference Formula

Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe)
Vmean = (ΔP*w)/(12*μviscosity*Lp)

What is Pressure Difference?

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 Difference?

Mean Velocity of Flow given Pressure Difference calculator uses Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe) to calculate the Mean Velocity, The Mean Velocity of Flow given Pressure Difference is defined as the mean velocity of flow can be determined by measuring the pressure difference between two points and utilizing the Bernoulli's equation for incompressible fluids. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow given Pressure Difference using this online calculator? To use this online calculator for Mean Velocity of Flow given Pressure Difference, enter Pressure Difference (ΔP), Width (w), Dynamic Viscosity viscosity) & Length of Pipe (Lp) and hit the calculate button. Here is how the Mean Velocity of Flow given Pressure Difference calculation can be explained with given input values -> 32.59804 = (13.3*3)/(12*1.02*0.1).

FAQ

What is Mean Velocity of Flow given Pressure Difference?
The Mean Velocity of Flow given Pressure Difference is defined as the mean velocity of flow can be determined by measuring the pressure difference between two points and utilizing the Bernoulli's equation for incompressible fluids and is represented as Vmean = (ΔP*w)/(12*μviscosity*Lp) or Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe). Pressure Difference is the difference in pressure intensities at two different points in a liquid, Width is the measurement or extent of something from side to side, 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.
How to calculate Mean Velocity of Flow given Pressure Difference?
The Mean Velocity of Flow given Pressure Difference is defined as the mean velocity of flow can be determined by measuring the pressure difference between two points and utilizing the Bernoulli's equation for incompressible fluids is calculated using Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe). To calculate Mean Velocity of Flow given Pressure Difference, you need Pressure Difference (ΔP), Width (w), Dynamic Viscosity viscosity) & Length of Pipe (Lp). With our tool, you need to enter the respective value for Pressure Difference, Width, Dynamic Viscosity & Length 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, Width, Dynamic Viscosity & Length of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient
  • Mean Velocity = (2/3)*Maximum Velocity
  • Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe)
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