Density of Liquid using Mean Velocity given Shear Stress with Friction Factor 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 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 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 Liquid using Mean Velocity given Shear Stress with Friction Factor [ρ_Fluid]

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Density of Liquid using Mean Velocity given Shear Stress with Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))
ρ_Fluid = 8*𝜏/(f*(V_mean^2))
This formula uses 4 Variables

Variables Used

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.
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.
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

Shear Stress: 93.1 Pascal --> 93.1 Pascal 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

ρ_Fluid = 8*𝜏/(f*(V_mean^2)) --> 8*93.1/(5*(10.1^2))

Evaluating ... ...

ρ_Fluid = 1.46024899519655

STEP 3: Convert Result to Output's Unit

1.46024899519655 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.46024899519655 ≈ 1.460249 Kilogram per Cubic Meter <-- Density of Fluid

(Calculation completed in 00.023 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

Density of Liquid using Mean Velocity given Shear Stress with Friction Factor Formula

LaTeX Go

Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))
ρ_Fluid = 8*𝜏/(f*(V_mean^2))

What is Darcy's Friction Factor?

The Darcy friction factor is a dimensionless quantity used in the Darcy-Weisbach equation for the description of friction losses in pipe flow as well as open channel flow. It is also known as the Darcy-Weisbach friction factor or Moody friction factor and is four times larger than the Fanning friction factor.

How to Calculate Density of Liquid using Mean Velocity given Shear Stress with Friction Factor?

Density of Liquid using Mean Velocity given Shear Stress with Friction Factor calculator uses Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2)) to calculate the Density of Fluid, The Density of Liquid using Mean Velocity given Shear Stress with Friction Factor formula is defined as mass per unit volume of fluid. Density of Fluid is denoted by ρ_Fluid symbol.

How to calculate Density of Liquid using Mean Velocity given Shear Stress with Friction Factor using this online calculator? To use this online calculator for Density of Liquid using Mean Velocity given Shear Stress with Friction Factor, enter Shear Stress (𝜏), Darcy Friction Factor (f) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Density of Liquid using Mean Velocity given Shear Stress with Friction Factor calculation can be explained with given input values -> 1.460249 = 8*93.1/(5*(10.1^2)).

FAQ

What is Density of Liquid using Mean Velocity given Shear Stress with Friction Factor?

The Density of Liquid using Mean Velocity given Shear Stress with Friction Factor formula is defined as mass per unit volume of fluid and is represented as ρ_Fluid = 8*𝜏/(f*(V_mean^2)) or Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2)). 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 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 Density of Liquid using Mean Velocity given Shear Stress with Friction Factor?

The Density of Liquid using Mean Velocity given Shear Stress with Friction Factor formula is defined as mass per unit volume of fluid is calculated using Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2)). To calculate Density of Liquid using Mean Velocity given Shear Stress with Friction Factor, you need Shear Stress (𝜏), Darcy Friction Factor (f) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Shear Stress, 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.

How many ways are there to calculate Density of Fluid?

In this formula, Density of Fluid uses Shear Stress, Darcy Friction Factor & Mean Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity)

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