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Mean Velocity of Flow given Pressure Gradient Formula

GoMean Velocity of Flow given Maximum Velocity Formula

GoMean Velocity of Flow given Pressure Difference Formula

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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

V mean = (\frac{w^{2}}{12 \cdot μ}) \cdot dp|dr

V_mean - Mean Velocity?w - Width?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?

Mean Velocity of Flow given Pressure Gradient Example

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

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

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

12.5 = (\frac{3^{2}}{12 \cdot 10.2}) \cdot 17

12.5m/s = (\frac{{3m}^{2}}{12 \cdot 10.2P}) \cdot 17N/m³

12.5 = (\frac{3^{2}}{12 \cdot 10.2}) \cdot 17

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Mean Velocity of Flow given Pressure Gradient Solution

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

FIRST Step Consider the formula

V mean = (\frac{w^{2}}{12 \cdot μ}) \cdot dp|dr

Next Step Substitute values of Variables

∴

V mean = (\frac{{3m}^{2}}{12 \cdot 10.2P}) \cdot 17N/m³

Next Step Convert Units

∴

V mean = (\frac{{3m}^{2}}{12 \cdot 1.02Pa*s}) \cdot 17N/m³

Next Step Prepare to Evaluate

∴

V mean = (\frac{3^{2}}{12 \cdot 1.02}) \cdot 17

LAST Step Evaluate

∴

V mean = 12.5m/s

Mean Velocity of Flow given Pressure Gradient 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: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

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.

Formulas to find Dynamic Viscosity

Pressure Gradient

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.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Other Formulas to find Mean Velocity

Go Mean Velocity of Flow given Maximum Velocity

V mean = (\frac{2}{3}) \cdot V max

Go Mean Velocity of Flow given Pressure Difference

V mean = \frac{ΔP \cdot w}{12 \cdot μ \cdot L p}

Go Mean Velocity of Flow given Pressure Head Drop

V mean = \frac{ΔP \cdot S \cdot ({D pipe}^{2})}{12 \cdot μ \cdot L p}

How to Evaluate Mean Velocity of Flow given Pressure Gradient?

Mean Velocity of Flow given Pressure Gradient evaluator uses Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient to evaluate 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 evaluate Mean Velocity of Flow given Pressure Gradient using this online evaluator? To use this online evaluator for Mean Velocity of Flow given Pressure Gradient, enter Width (w), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Mean Velocity of Flow given Pressure Gradient

What is the formula to find Mean Velocity of Flow given Pressure Gradient?

The formula of Mean Velocity of Flow given Pressure Gradient is expressed as Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient. Here is an example- 12.5 = ((3^2)/(12*1.02))*17.

How to calculate Mean Velocity of Flow given Pressure Gradient?

With Width (w), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) we can find Mean Velocity of Flow given Pressure Gradient using the formula - Mean Velocity = ((Width^2)/(12*Dynamic Viscosity))*Pressure Gradient.

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

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)

Can the Mean Velocity of Flow given Pressure Gradient be negative?

Yes, the Mean Velocity of Flow given Pressure Gradient, measured in Speed can be negative.

Which unit is used to measure Mean Velocity of Flow given Pressure Gradient?

Mean Velocity of Flow given Pressure Gradient 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 Gradient can be measured.

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