Shear Stress given Friction Factor and Density Calculator

✖The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.ⓘ Density of Fluid [ρ_Fluid]			+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 [V_mean]			+10% -10%

✖The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress given Friction Factor and Density [𝜏]

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Shear Stress given Friction Factor and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8
𝜏 = ρ_Fluid*f*V_mean*V_mean/8
This formula uses 4 Variables

Variables Used

Shear Stress - (Measured in Pascal) - The Shear Stress refers to the 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) - The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = ρ_Fluid*f*V_mean*V_mean/8 --> 1.225*5*10.1*10.1/8

Evaluating ... ...

𝜏 = 78.10140625

STEP 3: Convert Result to Output's Unit

78.10140625 Pascal --> No Conversion Required

FINAL ANSWER

78.10140625 ≈ 78.10141 Pascal <-- Shear Stress

(Calculation completed in 00.008 seconds)

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< Darcy Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

LaTeX Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)

Length of Pipe given Head Loss due to Frictional Resistance

LaTeX Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)

Head Loss due to Frictional Resistance

LaTeX Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)

Dynamic Viscosity given Friction Factor

LaTeX Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Shear Stress given Friction Factor and Density Formula

LaTeX Go

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

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 Shear Stress given Friction Factor and Density?

Shear Stress given Friction Factor and Density calculator uses Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8 to calculate the Shear Stress, The Shear Stress given Friction Factor and Density formula is defined as stress or resistance offered to the fluid due to friction. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress given Friction Factor and Density using this online calculator? To use this online calculator for Shear Stress given Friction Factor and Density, enter Density of Fluid (ρ_Fluid), Darcy Friction Factor (f) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Shear Stress given Friction Factor and Density calculation can be explained with given input values -> 78.10141 = 1.225*5*10.1*10.1/8.

FAQ

What is Shear Stress given Friction Factor and Density?

The Shear Stress given Friction Factor and Density formula is defined as stress or resistance offered to the fluid due to friction and is represented as 𝜏 = ρ_Fluid*f*V_mean*V_mean/8 or Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8. The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume, 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 & The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

How to calculate Shear Stress given Friction Factor and Density?

The Shear Stress given Friction Factor and Density formula is defined as stress or resistance offered to the fluid due to friction is calculated using Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8. To calculate Shear Stress given Friction Factor and Density, you need Density of Fluid (ρ_Fluid), Darcy Friction Factor (f) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Density of Fluid, Darcy Friction Factor & Mean Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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