Friction Factor 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%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+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.ⓘ Friction Factor given Shear Stress and Density [f]

⎘ Copy

👎

Formula

✖

Friction Factor given Shear Stress and Density

Formula

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

Example

`"5.9602"=(8*"93.1Pa")/("10.1m/s"*"10.1m/s"*"1.225kg/m³")`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

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 - 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.
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.
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.
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.

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)

You are here -

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 5 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 Shear Velocity

Go Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2

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 ?

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 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 a multiplier used for calculating frictional resistance in the pipe. 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 a multiplier used for calculating frictional resistance in the pipe 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). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

How to calculate Friction Factor given Shear Stress and Density?

The Friction Factor given Shear Stress and Density formula is defined as a multiplier used for calculating frictional resistance in the pipe 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 4 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
Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2

Home

FREE PDFs

🔍 Search