Mean Velocity of Flow given Pressure Gradient Calculator

✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+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 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%

✖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 Gradient [V_mean]

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Mean Velocity of Flow given Pressure Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient
V_mean = ((w^2)/(12*μ))*dp|dr
This formula uses 4 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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Width: 3 Meter --> 3 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = ((w^2)/(12*μ))*dp|dr --> ((3^2)/(12*1.02))*17

Evaluating ... ...

V_mean = 12.5

STEP 3: Convert Result to Output's Unit

12.5 Meter per Second --> No Conversion Required

FINAL ANSWER

12.5 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

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 Gradient Formula

LaTeX Go

Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient
V_mean = ((w^2)/(12*μ))*dp|dr

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Mean Velocity of Flow given Pressure Gradient?

Mean Velocity of Flow given Pressure Gradient calculator uses Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient to calculate the Mean Velocity, The Mean Velocity of Flow given Pressure Gradient is defined as The average flow speed of a fluid in a hydraulic system is determined by the pressure gradient, influencing fluid movement in a confined space. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity of Flow given Pressure Gradient using this online calculator? To use this online calculator for Mean Velocity of Flow given Pressure Gradient, enter Width (w), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Mean Velocity of Flow given Pressure Gradient calculation can be explained with given input values -> 12.5 = ((3^2)/(12*1.02))*17.

FAQ

What is Mean Velocity of Flow given Pressure Gradient?

The Mean Velocity of Flow given Pressure Gradient is defined as The average flow speed of a fluid in a hydraulic system is determined by the pressure gradient, influencing fluid movement in a confined space and is represented as V_mean = ((w^2)/(12*μ))*dp|dr or Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient. Width is the measurement or extent of something from side to side, 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.

How to calculate Mean Velocity of Flow given Pressure Gradient?

The Mean Velocity of Flow given Pressure Gradient is defined as The average flow speed of a fluid in a hydraulic system is determined by the pressure gradient, influencing fluid movement in a confined space is calculated using Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient. To calculate Mean Velocity of Flow given Pressure Gradient, you need Width (w), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Width, Dynamic Viscosity & Pressure Gradient 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 Width, Dynamic Viscosity & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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