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)
ρFluid = μ*64/(f*Dpipe*Vmean)
This formula uses 5 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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
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
ρFluid = μ*64/(f*Dpipe*Vmean) --> 1.02*64/(5*1.01*10.1)
Evaluating ... ...
ρFluid = 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 00.020 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 Fluid given Friction Factor Formula

​LaTeX ​Go
Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
ρFluid = μ*64/(f*Dpipe*Vmean)

What is Density of Fluid ?

In Darcy-Weisbach equation, the density of the fluid plays a critical role in calculating the pressure loss or head loss due to friction in a pipe or a conduit. In some cases, particularly when converting head loss into pressure loss, fluid density becomes an important parameter. The density of the fluid ρ affects how much pressure loss will occur for a given head loss. Fluids with higher densities (like water or oil) will experience greater pressure loss for the same head loss compared to fluids with lower densities (like air or gases).

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 formula is defined as mass per unit volume of fluid of the stream flowing through the pipe. Density of Fluid is denoted by ρFluid 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), Darcy Friction Factor (f), Diameter of Pipe (Dpipe) & Mean Velocity (Vmean) 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 formula is defined as mass per unit volume of fluid of the stream flowing through the pipe and is represented as ρFluid = μ*64/(f*Dpipe*Vmean) or Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, 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 Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing & 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 Fluid given Friction Factor?
The Density of Fluid given Friction Factor formula 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), Darcy Friction Factor (f), Diameter of Pipe (Dpipe) & Mean Velocity (Vmean). 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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