Friction Factor given Shear Stress and Density Calculator

✖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 [𝜏]			+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 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.ⓘ Friction Factor given Shear Stress and Density [f]

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Formula

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Friction Factor given Shear Stress and Density

Formula

f = \frac{8 \cdot 𝜏}{V mean \cdot V mean \cdot ρ Fluid}

Example

5.9602 = \frac{8 \cdot 93.1 Pa}{10.1 m/s \cdot 10.1 m/s \cdot 1.225 kg/m³}

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Friction Factor given Shear Stress and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (8*𝜏)/(V_mean*V_mean*ρ_Fluid) --> (8*93.1)/(10.1*10.1*1.225)

Evaluating ... ...

f = 5.96019998039408

STEP 3: Convert Result to Output's Unit

5.96019998039408 --> No Conversion Required

FINAL ANSWER

5.96019998039408 ≈ 5.9602 <-- Darcy Friction Factor

(Calculation completed in 00.004 seconds)

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< Friction Factor Calculators

Friction Factor when Head Loss is due to Frictional Resistance

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

Friction Factor

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

Friction Factor given Shear Stress and Density

Go Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)

Friction Factor given Reynolds Number

Go Darcy Friction Factor = 64/Reynolds Number

Friction Factor given Shear Stress and Density Formula

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

What is Friction Factor?

The friction factor is a dimensionless number that quantifies the resistance to flow (or energy loss) due to friction within a pipe or channel. It is crucial in fluid dynamics, particularly when analyzing the flow of water through pipes, wells, or other conduits. The friction factor is used in the Darcy-Weisbach equation, which relates the pressure drop or head loss due to friction to the velocity of the flow, pipe length, and pipe diameter.

How to Calculate Friction Factor given Shear Stress and Density?

Friction Factor given Shear Stress and Density calculator uses Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid) to calculate the Darcy Friction Factor, The Friction Factor given Shear Stress and Density formula is defined as the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the internal forces acting parallel to a material's surface per unit area. Darcy Friction Factor is denoted by f symbol.

How to calculate Friction Factor given Shear Stress and Density using this online calculator? To use this online calculator for Friction Factor given Shear Stress and Density, enter Shear Stress (𝜏), Mean Velocity (V_mean) & Density of Fluid (ρ_Fluid) and hit the calculate button. Here is how the Friction Factor given Shear Stress and Density calculation can be explained with given input values -> 5.9602 = (8*93.1)/(10.1*10.1*1.225).

FAQ

What is Friction Factor given Shear Stress and Density?

The Friction Factor given Shear Stress and Density formula is defined as the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the internal forces acting parallel to a material's surface per unit area and is represented as f = (8*𝜏)/(V_mean*V_mean*ρ_Fluid) or Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid). 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, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & 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.

How to calculate Friction Factor given Shear Stress and Density?

The Friction Factor given Shear Stress and Density formula is defined as the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the internal forces acting parallel to a material's surface per unit area is calculated using Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid). To calculate Friction Factor given Shear Stress and Density, you need Shear Stress (𝜏), Mean Velocity (V_mean) & Density of Fluid (ρ_Fluid). With our tool, you need to enter the respective value for Shear Stress, Mean Velocity & Density of Fluid 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 Darcy Friction Factor?

In this formula, Darcy Friction Factor uses Shear Stress, Mean Velocity & Density of Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)
Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
Darcy Friction Factor = 64/Reynolds Number

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