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Mean Velocity of Flow given Shear Velocity Formula

GoMean Velocity of Fluid Flow Formula

GoMean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Formula

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The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel. Check FAQs

V mean = \frac{V shear}{\sqrt{\frac{f}{8}}}

V_mean - Mean Velocity?V_shear - Shear Velocity?f - Darcy Friction Factor?

Mean Velocity of Flow given Shear Velocity Example

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

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

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

11.3842 = \frac{9}{\sqrt{\frac{5}{8}}}

11.3842m/s = \frac{9m/s}{\sqrt{\frac{5}{8}}}

11.3842 = \frac{9}{\sqrt{\frac{5}{8}}}

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Mean Velocity of Flow given Shear Velocity Solution

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

FIRST Step Consider the formula

V mean = \frac{V shear}{\sqrt{\frac{f}{8}}}

Next Step Substitute values of Variables

∴

V mean = \frac{9m/s}{\sqrt{\frac{5}{8}}}

Next Step Prepare to Evaluate

∴

V mean = \frac{9}{\sqrt{\frac{5}{8}}}

Next Step Evaluate

∴

V mean = 11.3841995766062m/s

LAST Step Rounding Answer

∴

V mean = 11.3842m/s

Mean Velocity of Flow given Shear Velocity Formula Elements

Variables

Functions

Mean Velocity

The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Shear Velocity

The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe.

Symbol: V_shear

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Shear Velocity

Darcy Friction Factor

The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Mean Velocity

Go Mean Velocity of Fluid Flow

V mean = (\frac{1}{8 \cdot μ}) \cdot dp|dr \cdot R^{2}

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

V mean = 0.5 \cdot V max

Go Mean Velocity of Flow given Head Loss due to Frictional Resistance

V mean = \sqrt{\frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot L p}}

Go Mean Velocity of Flow given Friction Factor

V mean = \frac{64 \cdot μ}{f \cdot ρ Fluid \cdot D pipe}

How to Evaluate Mean Velocity of Flow given Shear Velocity?

Mean Velocity of Flow given Shear Velocity evaluator uses Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)) to evaluate the Mean Velocity, The Mean Velocity of Flow given Shear Velocity is defined as the average velocity with which flow is taking place in the pipe. Mean Velocity is denoted by V_mean symbol.

How to evaluate Mean Velocity of Flow given Shear Velocity using this online evaluator? To use this online evaluator for Mean Velocity of Flow given Shear Velocity, enter Shear Velocity (V_shear) & Darcy Friction Factor (f) and hit the calculate button.

FAQs on Mean Velocity of Flow given Shear Velocity

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

The formula of Mean Velocity of Flow given Shear Velocity is expressed as Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)). Here is an example- 11.3842 = 9/(sqrt(5/8)).

How to calculate Mean Velocity of Flow given Shear Velocity?

With Shear Velocity (V_shear) & Darcy Friction Factor (f) we can find Mean Velocity of Flow given Shear Velocity using the formula - Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

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

Can the Mean Velocity of Flow given Shear Velocity be negative?

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

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

Mean Velocity of Flow given Shear Velocity 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 Shear Velocity can be measured.

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