Mean Velocity of Flow given Shear Velocity Calculator

✖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.ⓘ Shear Velocity [V_shear]			+10% -10%
✖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.ⓘ Darcy Friction Factor [f]			+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 Flow given Shear Velocity [V_mean]

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Mean Velocity of Flow given Shear Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
V_mean = V_shear/(sqrt(f/8))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

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.
Shear Velocity - (Measured in Meter per Second) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Darcy Friction Factor: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = V_shear/(sqrt(f/8)) --> 9/(sqrt(5/8))

Evaluating ... ...

V_mean = 11.3841995766062

STEP 3: Convert Result to Output's Unit

11.3841995766062 Meter per Second --> No Conversion Required

FINAL ANSWER

11.3841995766062 ≈ 11.3842 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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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 Flow given Shear Velocity Formula

LaTeX Go

Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
V_mean = V_shear/(sqrt(f/8))

What is Shear Velocity ?

Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity. It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

How to Calculate Mean Velocity of Flow given Shear Velocity?

Mean Velocity of Flow given Shear Velocity calculator uses Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)) to calculate 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 calculate Mean Velocity of Flow given Shear Velocity using this online calculator? To use this online calculator for Mean Velocity of Flow given Shear Velocity, enter Shear Velocity (V_shear) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Mean Velocity of Flow given Shear Velocity calculation can be explained with given input values -> 11.3842 = 9/(sqrt(5/8)).

FAQ

What is Mean Velocity of Flow given Shear Velocity?

The Mean Velocity of Flow given Shear Velocity is defined as the average velocity with which flow is taking place in the pipe and is represented as V_mean = V_shear/(sqrt(f/8)) or Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)). 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 & 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.

How to calculate Mean Velocity of Flow given Shear Velocity?

The Mean Velocity of Flow given Shear Velocity is defined as the average velocity with which flow is taking place in the pipe is calculated using Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)). To calculate Mean Velocity of Flow given Shear Velocity, you need Shear Velocity (V_shear) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Shear Velocity & Darcy Friction Factor 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 Shear Velocity & Darcy Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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