Friction Factor by Beek Calculator

✖Void Fraction is the fraction of the channel volume that is occupied by the gas phase.ⓘ Void Fraction [∈]			+10% -10%
✖Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number(pb) [Re_pb]			+10% -10%

✖Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor by Beek [f_f]

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Friction Factor by Beek Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))
f_f = (1-∈)/(∈^3)*(1.75+150*((1-∈)/Re_pb))
This formula uses 3 Variables

Variables Used

Factor of Friction - Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Void Fraction - Void Fraction is the fraction of the channel volume that is occupied by the gas phase.
Reynolds Number(pb) - Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

STEP 1: Convert Input(s) to Base Unit

Void Fraction: 0.75 --> No Conversion Required
Reynolds Number(pb): 200 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_f = (1-∈)/(∈^3)*(1.75+150*((1-∈)/Re_pb)) --> (1-0.75)/(0.75^3)*(1.75+150*((1-0.75)/200))

Evaluating ... ...

f_f = 1.14814814814815

STEP 3: Convert Result to Output's Unit

1.14814814814815 --> No Conversion Required

FINAL ANSWER

1.14814814814815 ≈ 1.148148 <-- Factor of Friction

(Calculation completed in 00.020 seconds)

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Home » Physics » Heat and Mass Transfer » Internal Flow » Mechanical » Flow of Liquids inside Packed Beds » Friction Factor by Beek

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Flow of Liquids inside Packed Beds Calculators

Effective Particle Diameter by Ergun given Reynolds Number

LaTeX Go Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)

Superficial Velocity by Ergun given Reynolds Number

LaTeX Go Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density)

Reynolds Number of Packed Beds by Ergun

LaTeX Go Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction))

Density of Fluid by Ergun

LaTeX Go Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity)

Friction Factor by Beek Formula

LaTeX Go

Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))
f_f = (1-∈)/(∈^3)*(1.75+150*((1-∈)/Re_pb))

What is internal flow?

Internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies.
An example includes flow in a pipe.

How to Calculate Friction Factor by Beek?

Friction Factor by Beek calculator uses Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))) to calculate the Factor of Friction, The Friction factor by Beek formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter. Factor of Friction is denoted by f_f symbol.

How to calculate Friction Factor by Beek using this online calculator? To use this online calculator for Friction Factor by Beek, enter Void Fraction (∈) & Reynolds Number(pb) (Re_pb) and hit the calculate button. Here is how the Friction Factor by Beek calculation can be explained with given input values -> 1.148148 = (1-0.75)/(0.75^3)*(1.75+150*((1-0.75)/200)).

FAQ

What is Friction Factor by Beek?

The Friction factor by Beek formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter and is represented as f_f = (1-∈)/(∈^3)*(1.75+150*((1-∈)/Re_pb)) or Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))). Void Fraction is the fraction of the channel volume that is occupied by the gas phase & Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

How to calculate Friction Factor by Beek?

The Friction factor by Beek formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter is calculated using Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))). To calculate Friction Factor by Beek, you need Void Fraction (∈) & Reynolds Number(pb) (Re_pb). With our tool, you need to enter the respective value for Void Fraction & Reynolds Number(pb) 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 Factor of Friction?

In this formula, Factor of Friction uses Void Fraction & Reynolds Number(pb). We can use 3 other way(s) to calculate the same, which is/are as follows -

Factor of Friction = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))
Factor of Friction = 150/Reynolds Number(pb)
Factor of Friction = 150/Reynolds Number(pb)+1.75

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