Density of Fluid given Friction Factor Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+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 given Friction Factor [ρ_Fluid]

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Formula

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Density of Fluid given Friction Factor

Formula

`"ρ"_{"Fluid"} = "μ"_{"viscosity"}*64/("f"*"D"_{"pipe"}*"V"_{"mean"})`

Example

`"1.279875kg/m³"="10.2P"*64/("5"*"1.01m"*"10.1m/s")`

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Density of Fluid given Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
ρ_Fluid = μ_viscosity*64/(f*D_pipe*V_mean)
This formula uses 5 Variables

Variables Used

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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Darcy Friction Factor: 5 --> No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter 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 = μ_viscosity*64/(f*D_pipe*V_mean) --> 1.02*64/(5*1.01*10.1)

Evaluating ... ...

ρ_Fluid = 1.27987452210568

STEP 3: Convert Result to Output's Unit

1.27987452210568 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.27987452210568 ≈ 1.279875 Kilogram per Cubic Meter <-- Density of Fluid

(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 » Density of Fluid given Friction Factor

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< 14 Darcy – Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

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

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

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

Diameter of Pipe given Friction Factor

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

Dynamic Viscosity given Friction Factor

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

Density of Fluid given Friction Factor

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

Density of Liquid given Shear Stress and Darcy Friction Factor

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

Pressure Gradient given Total Required Power

Go Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)

Area of Pipe given Total Required Power

Go Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)

Shear Stress given Friction Factor and Density

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

Total Required Power

Go Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe

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

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))

Shear Velocity

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

Reynolds Number given Friction Factor

Go Reynolds Number = 64/Darcy Friction Factor

Density of Fluid given Friction Factor Formula

Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
ρ_Fluid = μ_viscosity*64/(f*D_pipe*V_mean)

What is Density of Fluid ?

The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ.

How to Calculate Density of Fluid given Friction Factor?

Density of Fluid given Friction Factor calculator uses Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity) to calculate the Density of Fluid, The Density of Fluid given Friction Factor is defined as mass per unit volume of fluid of the stream flowing through the pipe. Density of Fluid is denoted by ρ_Fluid symbol.

How to calculate Density of Fluid given Friction Factor using this online calculator? To use this online calculator for Density of Fluid given Friction Factor, enter Dynamic Viscosity (μ_viscosity), Darcy Friction Factor (f), Diameter of Pipe (D_pipe) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Density of Fluid given Friction Factor calculation can be explained with given input values -> 1.279875 = 1.02*64/(5*1.01*10.1).

FAQ

What is Density of Fluid given Friction Factor?

The Density of Fluid given Friction Factor is defined as mass per unit volume of fluid of the stream flowing through the pipe and is represented as ρ_Fluid = μ_viscosity*64/(f*D_pipe*V_mean) or Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, 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, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Density of Fluid given Friction Factor?

The Density of Fluid given Friction Factor is defined as mass per unit volume of fluid of the stream flowing through the pipe is calculated using Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity). To calculate Density of Fluid given Friction Factor, you need Dynamic Viscosity (μ_viscosity), Darcy Friction Factor (f), Diameter of Pipe (D_pipe) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Dynamic Viscosity, Darcy Friction Factor, Diameter of Pipe & 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 Dynamic Viscosity, Darcy Friction Factor, Diameter of Pipe & Mean Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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