Mean Velocity of Flow given Shear Stress and Density Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖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.ⓘ Darcy Friction Factor [f]			+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 Shear Stress and Density [V_mean]

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Formula

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Mean Velocity of Flow given Shear Stress and Density

Formula

`"V"_{"mean"} = sqrt((8*"𝜏")/("ρ"_{"Fluid"}*"f"))`

Example

`"11.02724m/s"=sqrt((8*"93.1Pa")/("1.225kg/m³"*"5"))`

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Mean Velocity of Flow given Shear Stress and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
V_mean = sqrt((8*𝜏)/(ρ_Fluid*f))
This formula uses 1 Functions, 4 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 Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
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 Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Darcy Friction Factor: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = sqrt((8*𝜏)/(ρ_Fluid*f)) --> sqrt((8*93.1)/(1.225*5))

Evaluating ... ...

V_mean = 11.0272390016722

STEP 3: Convert Result to Output's Unit

11.0272390016722 Meter per Second --> No Conversion Required

FINAL ANSWER

11.0272390016722 ≈ 11.02724 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Darcy – Weisbach Equation » Mean Velocity of Flow » Mean Velocity of Flow given Shear Stress and Density

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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 Stress and Density Formula

Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
V_mean = sqrt((8*𝜏)/(ρ_Fluid*f))

What is Friction Factor ?

In fluid dynamics, the Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow.

How to Calculate Mean Velocity of Flow given Shear Stress and Density?

Mean Velocity of Flow given Shear Stress and Density calculator uses Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor)) to calculate the Mean Velocity, The Mean Velocity of Flow given Shear Stress and Density is defined as the average velocity of a fluid on the pipe. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity of Flow given Shear Stress and Density using this online calculator? To use this online calculator for Mean Velocity of Flow given Shear Stress and Density, enter Shear Stress (𝜏), Density of Fluid (ρ_Fluid) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Mean Velocity of Flow given Shear Stress and Density calculation can be explained with given input values -> 11.02724 = sqrt((8*93.1)/(1.225*5)).

FAQ

What is Mean Velocity of Flow given Shear Stress and Density?

The Mean Velocity of Flow given Shear Stress and Density is defined as the average velocity of a fluid on the pipe and is represented as V_mean = sqrt((8*𝜏)/(ρ_Fluid*f)) or Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor)). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & 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 Stress and Density?

The Mean Velocity of Flow given Shear Stress and Density is defined as the average velocity of a fluid on the pipe is calculated using Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor)). To calculate Mean Velocity of Flow given Shear Stress and Density, you need Shear Stress (𝜏), Density of Fluid (ρ_Fluid) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Shear Stress, Density of Fluid & 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 Stress, Density of Fluid & 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 = Shear Velocity/(sqrt(Darcy Friction Factor/8))
Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)

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