Mean Velocity of Flow given Pressure Head Drop Calculator

✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Difference [ΔP]			+10% -10%
✖Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.ⓘ Specific Weight of Liquid in Piezometer [S]			+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 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%

✖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 Pressure Head Drop [V_mean]

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Mean Velocity of Flow given Pressure Head Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe)
V_mean = (ΔP*S*(D_pipe^2))/(12*μ*L_p)
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.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
Specific Weight of Liquid in Piezometer - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)
Specific Weight of Liquid in Piezometer: 0.75 Kilonewton per Cubic Meter --> 0.75 Kilonewton per Cubic Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 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

V_mean = (ΔP*S*(D_pipe^2))/(12*μ*L_p) --> (13.3*0.75*(1.01^2))/(12*1.02*0.1)

Evaluating ... ...

V_mean = 8.31331495098039

STEP 3: Convert Result to Output's Unit

8.31331495098039 Meter per Second --> No Conversion Required

FINAL ANSWER

8.31331495098039 ≈ 8.313315 Meter per Second <-- Mean Velocity

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Mean Velocity of Flow Calculators

Mean Velocity of Flow given Pressure Head Drop

LaTeX 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

LaTeX Go Mean Velocity = (Pressure Difference*Width)/(12*Dynamic Viscosity*Length of Pipe)

Mean Velocity of Flow given Pressure Gradient

LaTeX Go Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient

Mean Velocity of Flow given Maximum Velocity

LaTeX Go Mean Velocity = (2/3)*Maximum Velocity

Mean Velocity of Flow given Pressure Head Drop Formula

LaTeX Go

Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe)
V_mean = (ΔP*S*(D_pipe^2))/(12*μ*L_p)

What is Dynamic Viscosity?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

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

Mean Velocity of Flow given Pressure Head Drop calculator uses Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe) to calculate 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 V_mean symbol.

How to calculate Mean Velocity of Flow given Pressure Head Drop using this online calculator? To use this online calculator for Mean Velocity of Flow given Pressure Head Drop, enter Pressure Difference (ΔP), Specific Weight of Liquid in Piezometer (S), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Length of Pipe (L_p) and hit the calculate button. Here is how the Mean Velocity of Flow given Pressure Head Drop calculation can be explained with given input values -> 8.313315 = (13.3*750*(1.01^2))/(12*1.02*0.1).

FAQ

What is Mean Velocity of Flow given Pressure Head Drop?

The Mean Velocity of Flow given Pressure Head Drop is defined as the average velocity of stream through pipe in the flow and is represented as V_mean = (ΔP*S*(D_pipe^2))/(12*μ*L_p) or Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe). Pressure Difference is the difference in pressure intensities at two different points in a liquid, Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, 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.

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

The Mean Velocity of Flow given Pressure Head Drop is defined as the average velocity of stream through pipe in the flow is calculated using Mean Velocity = (Pressure Difference*Specific Weight of Liquid in Piezometer*(Diameter of Pipe^2))/(12*Dynamic Viscosity*Length of Pipe). To calculate Mean Velocity of Flow given Pressure Head Drop, you need Pressure Difference (ΔP), Specific Weight of Liquid in Piezometer (S), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Length of Pipe (L_p). With our tool, you need to enter the respective value for Pressure Difference, Specific Weight of Liquid in Piezometer, Diameter of Pipe, 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, Specific Weight of Liquid in Piezometer, Diameter of Pipe, 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*Width)/(12*Dynamic Viscosity*Length of Pipe)

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