Mean Velocity of Fluid Flow Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+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 Fluid Flow [V_mean]

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Mean Velocity of Fluid Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2
V_mean = (1/(8*μ))*dp|dr*R^2
This formula uses 4 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Radius of pipe: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = (1/(8*μ))*dp|dr*R^2 --> (1/(8*1.02))*17*2^2

Evaluating ... ...

V_mean = 8.33333333333333

STEP 3: Convert Result to Output's Unit

8.33333333333333 Meter per Second --> No Conversion Required

FINAL ANSWER

8.33333333333333 ≈ 8.333333 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 Head Loss due to Frictional Resistance

LaTeX Go Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))

Mean Velocity of Flow given Friction Factor

LaTeX Go Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)

Mean Velocity of Fluid Flow

LaTeX Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

LaTeX Go Mean Velocity = 0.5*Maximum Velocity

Mean Velocity of Fluid Flow Formula

LaTeX Go

Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2
V_mean = (1/(8*μ))*dp|dr*R^2

What is Mean Velocity of Flow ?

The mean velocity of flow refers to the average speed at which a fluid moves through a cross-section of a pipe or channel. Since the velocity of fluid is not uniform across the entire cross-section (due to friction at the boundaries, which slows the flow near the walls), the mean velocity provides a useful measure to represent the overall flow speed.
In a real-world flow scenario, the fluid near the pipe walls experiences friction, causing slower movement, while fluid in the center moves faster. The mean velocity is a single value that represents the overall velocity of the flow, averaging these differences.

How to Calculate Mean Velocity of Fluid Flow?

Mean Velocity of Fluid Flow calculator uses Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2 to calculate the Mean Velocity, The Mean Velocity of Fluid Flow is defined as average velocity of stream flowing the pipe measured over the entire length. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity of Fluid Flow using this online calculator? To use this online calculator for Mean Velocity of Fluid Flow, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radius of pipe (R) and hit the calculate button. Here is how the Mean Velocity of Fluid Flow calculation can be explained with given input values -> 0.039675 = (1/(8*1.02))*17*2^2.

FAQ

What is Mean Velocity of Fluid Flow?

The Mean Velocity of Fluid Flow is defined as average velocity of stream flowing the pipe measured over the entire length and is represented as V_mean = (1/(8*μ))*dp|dr*R^2 or Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2. The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location & The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

How to calculate Mean Velocity of Fluid Flow?

The Mean Velocity of Fluid Flow is defined as average velocity of stream flowing the pipe measured over the entire length is calculated using Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2. To calculate Mean Velocity of Fluid Flow, you need Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radius of pipe (R). With our tool, you need to enter the respective value for Dynamic Viscosity, Pressure Gradient & Radius 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 Dynamic Viscosity, Pressure Gradient & Radius of pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = 0.5*Maximum Velocity
Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)

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