Mean Velocity of Flow given Shear Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
Vmean = Vshear/(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) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
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
Vmean = Vshear/(sqrt(f/8)) --> 9/(sqrt(5/8))
Evaluating ... ...
Vmean = 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)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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5 Mean Velocity of Flow Calculators

Mean Velocity of Flow given Head Loss due to Frictional Resistance
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
Go Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)
Mean Velocity of Flow given Total Required Power
Go Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
Mean Velocity of Flow given Shear Stress and Density
Go Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
Mean Velocity of Flow given Shear Velocity
Go Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))

Mean Velocity of Flow given Shear Velocity Formula

Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
Vmean = Vshear/(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.

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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 Vmean 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 (Vshear) & 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 Vmean = Vshear/(sqrt(f/8)) or Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8)). Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
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 (Vshear) & 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 4 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
  • Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
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